<p><a href="http://www.biu.ac.il/soc/ec/jlwecon/wp/2.%20AumannGame%20-%20bulletin.pdf" rel="noreferrer">Game Theory in the Talmud</a> by Robert J. Aumann discusses a bankruptcy problem and a variety of fair division problems of a contested sum from the Talmud, a document written roughly between 200 and 500 CE.
For example:</p>
<blockquote>
<p>A fascinating discussion of bankruptcy occurs in the Babylonian Talmud
2 (Ketubot 93a). There are three creditors; the debts are 100, 200 and
300. Three cases are considered, corresponding to estates of 100, 200 and 300. The Mishna stipulates the divisions shown in Table 1. When
the estate is 100, it is divided equally; since 100 is the smallest
debt, this makes good sense, as pointed out above. The case in which
the estate is 300 appears based on the different – and inconsistent –
principle of proportional division. The figures for an estate of 200
look mysterious; but whatever they may mean, they do not fit any
obvious extension of either equal or proportional division. A common
rationale for all three cases is not apparent.</p>
</blockquote>
<p><a href="http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2738350" rel="noreferrer">Behavioral Despair in the Talmud</a> uses similar techniques on a related class of problems.</p>
<p>The story of <a href="https://en.wikipedia.org/wiki/Solomon" rel="noreferrer">King Solomon</a> and splitting the baby (<a href="https://en.wikipedia.org/wiki/Judgment_of_Solomon" rel="noreferrer">Judgment of Solomon</a>) could be interpreted as an early example of a truthful revelation mechanism from approximately 1,000 BCE.</p>
<blockquote>
<p>16 One day two women[a] came to King Solomon,</p>
<p>17 and one of them said: Your Majesty, this woman and I live in the same house. Not long ago my baby was born at home,</p>
<p>18 and three days later her baby was born. Nobody else was there with us.</p>
<p>19 One night while we were all asleep, she rolled over on her baby, and he died.</p>
<p>20 Then while I was still asleep, she got up and took my son out of my bed. She put him in her bed, then she put her dead baby next to me.</p>
<p>21 In the morning when I got up to feed my son, I saw that he was dead. But when I looked at him in the light, I knew he wasn’t my son.</p>
<p>22 “No!” the other woman shouted. “He was your son. My baby is alive!” “The dead baby is yours,” the first woman yelled. “Mine is alive!” They argued back and forth in front of Solomon,</p>
<p>23 until finally he said, “Both of you say this live baby is yours.</p>
<p>24 Someone bring me a sword.” A sword was brought, and Solomon ordered,</p>
<p>25 “Cut the baby in half! That way each of you can have part of him.”</p>
<p>26 “Please don’t kill my son,” the baby’s mother screamed. “Your Majesty, I love him very much, but give him to her. Just don’t kill him.” The other woman shouted, “Go ahead and cut him in half. Then neither of us will have the baby.”</p>
<p>27 Solomon said, “Don’t kill the baby.” Then he pointed to the first
woman, “She is his real mother. Give the baby to her.”\</p>
</blockquote>
<p><a href="https://www.biblegateway.com/passage/?search=1%20Kings%203%3A16-28&amp;version=CEV" rel="noreferrer">1 Kings 3:16-28 Contemporary English Version (CEV)</a></p>
<p>The book <a href="https://rads.stackoverflow.com/amzn/click/com/0262523329" rel="noreferrer" rel="nofollow noreferrer">Biblical Games: Game Theory and the Hebrew Bible</a> argues that many of the stories in the Hebrew bible can be understood as reputation games between the creator of the universe and the Jewish people. Further, in many cases the equilibrium outcomes of these games are consistent with traditional understanding of the meaning of these stories. According to the Documentary hypothesis many of the earliest such stories of the bible were written about 1,000 BCE but the earliest stories are set about 2,000 BCE or even earlier.</p>

CC BY-SA 3.0
2016-04-07T20:32:47.647Z
2016-04-08T16:57:00.320Z
2020-06-17T09:40:54.643Z
BKay
<p>I was recently amazed to discover instances of <a href="http://www.illc.uva.nl/COMSOC/" rel="noreferrer">computational social choice</a> in <a href="http://en.wikipedia.org/wiki/The_Nine_Chapters_on_the_Mathematical_Art" rel="noreferrer">The Nine Chapters on the Mathematical Art</a>, the Chinese counterpart of Euclid's element, written by several generations of scholars <strong>from the 10th</strong> up to the 2nd century BCE.</p>

<p>The core issues in social choice theory is the question of fair allocation, or fair collective decision. Once an allocation rule is devised, it remains to make it applicable. One of the topics of <a href="http://www.illc.uva.nl/COMSOC/" rel="noreferrer">computational social choice</a> is precisely to build efficient algorithm to compute the solution of allocations rules given some inputs.</p>

<p>This is precisely the topic of chapter 3 and chapter 6 of <a href="http://en.wikipedia.org/wiki/The_Nine_Chapters_on_the_Mathematical_Art" rel="noreferrer">The Nine Chapters on the Mathematical Art</a>, which are entitled (resp.)  "Proportional Distribution" and "Fair Levies". The two fair division rules considered are the proportional division and the weighted proportional division rule. These rules are taken as given. They are not justified in any axiomatic way in the book, which would be the standard practice in modern social choice theory. Yet algorithm are proposed to apply them which in my views makes it a legitimate early instance of <a href="http://www.illc.uva.nl/COMSOC/" rel="noreferrer">computational social choice</a> ( because it answer the question  "<em>given</em> this allocation rule, how can we compute its solution for any possible inputs?" at a time when the answer to this question was far from obvious for the allocation rules considered).</p>

<p><strong>Some example problems you will find in chapter 3 :</strong></p>

<p>(All the examples below are taken form <a href="http://books.google.com/books/about/The_Nine_Chapters_on_the_Mathematical_Ar.html?id=tnplngEACAAJ" rel="noreferrer">the excellent commented edition of the Nine chapters by Kangshen Shen, John N. Crossley, Hui Liu Oxford University Press, 1999</a>. This edition contains great references to instances of these problem in written sources from other civilization, such as in Euclid's Elements)</p>

<p>[Problem 1]</p>

<blockquote>
  <p>" Now Given five officials of different ranks : Dafu, Bugeng, Zanniao,
  Shangzao, and Gongshi jointly hunting 5 deers. Tell : how many does
  each get if [the deer are] distributed according to their ranks?"</p>
</blockquote>

<p>[Problem 2]</p>

<blockquote>
  <p>"Now given a cow, a horse and a sheep have eaten up the seedlings of
  someone's field. The landlord demands 5 duo of millet as compensation.
  The shepherd says : "My sheep eats hals as much as the horse." The
  horse owner says : "My horse eats half as much as a cow." The
  compensation is to be distributed according to the rates. Tell : how
  much should each repay?"</p>
</blockquote>

<p><strong>An example problems you will find in chapter 9 :</strong></p>

<p>[Problem 1]</p>

<blockquote>
  <p>"Now given the task of transporting tax millet is distributed among four counties. County A, 8 days from the tax bureau, has 10 000 households; County B, 10 days from the bureau, has 9500 households; County C, 13 days form the bureau, has 12350 households; County D, 20 days from the bureau, has 12 200 households. The total tax millet is 250000 hu needing 10000 carts. Assume the task is to be distributed in accordance with the distance from the bureau and the number of household. Tell : how much millet should each county transport? How many cart does each county employ?"</p>
</blockquote>

CC BY-SA 3.0
2014-11-20T18:43:25.327Z
2016-04-07T14:53:13.317Z
2016-04-07T14:53:13.317Z
Martin Van der Linden
<p><a href="https://rads.stackoverflow.com/amzn/click/com/0521556449" rel="nofollow noreferrer" rel="nofollow noreferrer">Fair division: from cake cutting to dispute resolution</a> (Brams (1996)) claims that the following text from <a href="https://msu.edu/%7Etyrrell/theogon.pdf" rel="nofollow noreferrer">Hesiod’s Theogony</a> (sometime in 750 and 650 BCE) is the earliest recorded example of an <a href="https://en.wikipedia.org/wiki/Envy-freeness" rel="nofollow noreferrer">envy-free</a> (but not regret free!) <a href="https://en.wikipedia.org/wiki/Fair_division" rel="nofollow noreferrer">fair division problem</a>:</p>
<blockquote>
<p>For when the gods and mortal men had a dispute at Mecone, even then
Prometheus was forward to cut up a great ox and set portions before
them, trying to deceive the mind of Zeus. Before the rest he set flesh
and inner parts thick with fat upon the hide, covering them with an ox
paunch; [540] but for Zeus he put the white bones dressed up with
cunning art and covered with shining fat. Then the father of men and
of gods said to him: “Son of Iapetus, most glorious of all lords, good
sir, how unfairly you have divided the portions!” [545] So said Zeus
whose wisdom is everlasting, rebuking him. But wily Prometheus
answered him, smiling softly and not forgetting his cunning trick:
“Zeus, most glorious and greatest of the eternal gods, take which ever
of these portions your heart within you bids.” [550] So he said,
thinking trickery. But Zeus, whose wisdom is everlasting, saw and
failed not to perceive the trick, and in his heart he thought mischief
against mortal men which also was to be fulfilled. With both hands he
took up the white fat and was angry at heart, and wrath came to his
spirit [555] when he saw the white ox-bones craftily tricked out: and
because of this the tribes of men upon earth burn white bones to the
deathless gods upon fragrant altars. But Zeus who drives the clouds
was greatly vexed and said to him: “Son of Iapetus, clever above all!
[560] So, sir, you have not yet forgotten your cunning arts!” So spake
Zeus in anger, whose wisdom is everlasting; and from that time he was
always mindful of the trick, and would not give the power of
unwearying fire to the Melian1race of mortal men who live on the
earth. [565]</p>
</blockquote>
<p>The text is dense, but what is happening is  the classic solution to the fair division among two players where one (Prometheus) of the payers divides the cake (here an ox) and the other (Zeus) chooses which half he prefers.</p>
<p>Another Greek example from Mechanism design comes from <a href="https://rads.stackoverflow.com/amzn/click/com/0230610609" rel="nofollow noreferrer" rel="nofollow noreferrer">A Toolbox for Economic Design</a></p>
<blockquote>
<p>During the Classical Period in Athens (479—322 BCE) direct government
taxation was not feasible, and the city-state of Athens resorted to
the private provision of some important public goods, such as the
fleet necessary for the defense of the city. The Athenians devised the
liturgical system to deal with this, a system that deserves to be much
better known especially in the world of economics. The New Oxford
American Dictionary offers this as its second entry for the word
liturgy. “(in ancient Athens) a public office or duty performed
voluntarily by a rich Athenian.”</p>
<p>At the center of the liturgical system was the trierarchy, which meant
the “command, outfitting, and maintenance of a war ship for one year’
‘ (Kaiser, 2007, page 445) . The war ship this refers to is the
trireme, a fast galley with three banks of oars that proved very
effective in the Battle of Salamis against the Persian Navy, which
Persian king Xerxes had to watch being destroyed from a nearby hill in
479 BC. This battle was decisive in repelling the Persian threat to
what is now mainland Greece, and it is no accident that the Classical
Period is taken to start in the year of the Battle of Salamis. The
intrigue that the trierarchy holds for us is not the same as for
history buffs. It was a remarkable institution that maintained a high
level of support for the Athenian fleet by wealthy Athenians for a
long time by giving them the right incentives.</p>
<p>The burden and honor of the trierarchy fell on the members of the
landowning classes. These individuals had visible wealth,
self-proclaimed wealth, and actual wealth, to use categories relevant
for the trierarchy. There was a strong incentive to hide part of one’s
wealth. This could easily allow wealthy citizens to shirk their
liturgical duties. The institution of trierarchy was an early example
of a mechanism, a concept we discuss in this chapter and formally
define in section 2 . Its purpose was to make the true wealth of
citizens become apparent so they would not be able to shirk their
duties. Athens was governed then by the boule, a council chosen
randomly from the population of citizens. The council did not observe
the true wealth of citizens, it only observed visible wealth, such as
land holdings, slaves, and mines. Once it identified the wealthiest
citizens, it imposed trierarchy duties on them. If an individual was
assigned such a duty, he could either perform the duty or attempt the
antidosis challenge. This challenge meant that the citizen charged
with the trierarchy duty could point his finger to another citizen and
say that the latter is wealthier and hence more fit to carry out the
duty than himself. The challenged citizen had three options: (a) agree
that he is wealthier than the challenger and take on the trierarchy
duty; (b) disagree that he is wealthier than the challenger and offer
to swap his visible wealth for the challenger’s visible wealth so that
the challenger would perform the duty but with the challenged
individual’s wealth at his disposal; or (c) disagree that he is
wealthier than the challenger and let the court decide, based on the
court’s subsequent investigation of the wealth of the challenger and
the challenged.</p>
<p>This system had a purpose: in modern economic terms,
it was aimed at securing the efficient provision of the public good of
national defense. It was also sophisticated in that it took account of
the incentives of individuals to free-ride, and actively counteracted
them.   The study of social goals and institutionalized incentive
systems to achieve the goals is at the heart of this book. We turn now
to a more general discussion of social goals and incentives embodied
in institutions as an introduction to our methodical investigation of
the topic in the rest of the book. Rest assured that we will return to
the fascinating antidosis challenge system for the trierarchy when we
have developed enough of the necessary theoretical tools to see how it
provided incentives for people to perform their duties.</p>
</blockquote>

CC BY-SA 3.0
2016-04-08T09:47:16.903Z
2016-04-08T13:00:12.583Z
2020-06-17T09:40:54.643Z
BKay
<p>In 350 BC Aristotle in his works politics II, part III wrote about the tragedy of the commons:</p>

<blockquote>
  <p>That all persons call the same thing mine in the sense in which each does so may be a fine thing, but it is impracticable; or if the words are taken in the other sense, such a unity in no way conduces to harmony. And there is another objection to the proposal. For that which is common to the greatest number has the least care bestowed upon it. Every one thinks chiefly of his own, hardly at all of the common interest; and only when he is himself concerned as an individual.
  <a href="http://classics.mit.edu/Aristotle/politics.2.two.html" rel="nofollow noreferrer">Aristotle, 350 BC, Politics, Translated by: Benjamin Jowett</a></p>
</blockquote>

CC BY-SA 3.0
2017-09-15T17:29:50.647Z
2017-09-15T17:29:50.647Z
Maarten Punt
<p>There is an amazing new working paper by Erik Reinhart and coauthors, titled "<em><a href="https://developingeconomics.files.wordpress.com/2017/06/reinert-et-al-80-economic-bestsellers-before-1850-3.pdf" rel="nofollow noreferrer">80 Economic Bestsellers before 1850: A Fresh Look at the History of Economic Thought</a></em>". The work started in 1968 (!) and is soon to become a book. The paper focuses only on "bestseller" (apparently defined as number of copies produced/sold, albeit is not clear). The book is to include lesser known works.</p>

<p>Some characteristics of the books included:</p>

<blockquote>
  <p>one book printed in the  1400s,  4  books  published  in  the  1500s,  13  during  the  1600s,  46  during the 1700s, and 16 during the period from 1800 to 1848. </p>
  
  <p>The language distribution is as follows: </p>
  
  <ul>
  <li><p>4  books  were  originally  printed  in  Latin,  three  translated  from  ancient Greek authors Aristotle and Xenophon (I, II, IV) and one by a German (XXXIII Pufendorf)</p></li>
  <li><p>1 book was originally published bilingual, Latin and Italian (XXXI 
  Belloni)</p></li>
  <li><p>2 books were originally published in Dutch </p></li>
  <li><p>2 in Spanish </p></li>
  <li><p>7 in German, of which one by an Austrian (XLV Sonnenfels) and one by a Swiss (XLI Hirzel)</p></li>
  <li><p>7 in Italian </p></li>
  <li><p>27 in English, of which 4 by Scots (XIX Law, XLVI Steuart, LIII Smith,  LXXI  McCulloch),  2  by  Welshmen  (XXX  Tucker,  LXVI Owen),  and  3  by  Americans  (XXXVII  Franklin,  LVIII  Paine,  LX Hamilton) </p></li>
  <li><p>30  in  French,  2  of  which  by  Germans  (XXXIX  Bielfeld  &amp;  XLIII<br>
  Beausobre),  one  by  an  Italian  (XLIX  Galiani),  and  2  authors  hail from the Republic and Canton of Geneva (XXXVIII Rousseau, LI, LII, LV, LVII Necker)</p></li>
  </ul>
  
  <p>A main guideline  for  inclusion  has  been  if  the  author  is  included  in  the  1900-1901  edition of Palgrave’s Dictionary of Political Economy
   or similar works in other languages.</p>
</blockquote>

<p>Some extracts:</p>

<blockquote>
  <p>The  most  successful  economics  publication  of  the  period  is  no  doubt  Benjamin  Franklin’s  Way  to  Wealth,  first  published  in  1757,  which  reached more than 1.100 editions before 1850. It is not a typical textbook of economics, but it is in many ways a handbook in capitalist ethics.</p>
  
  <p>We consider  it  an  important  achievement  that  this  publication  now  brings  to  the forefront the founders both of Italian and German economics, Giovanni Botero (V) and Veit Ludwig von Seckendorff (IX).</p>
  
  <p>There are no Wikipedia entries  for  some  of  our  authors,  for  Culpeper  (VI),  Cary  (XVIII),  Gee  (XXVI), and Belloni (XXXI). It is worth noticing that, in addition to Culpeper, the only English economists who are not represented on Wikipedia are the two who most honestly explained English economic policy, e.g. (in the case of Gee) the prohibition of manufacturing in the colonies. For Herbert (XXXIII) Wikipedia has only name, dates, and the title of his book.  </p>
  
  <p>Data shows that the ideas of Adam Smith appear to diffuse 
  more through French writers like Jean-Baptiste Say (LXV, LXVII, LXXII) 
  and Droz (LXXIII) than through David Ricardo (LXIX), In fact Ricardo him-
  self,  in  the  translations  both  into  French<br>
  and  German,  was  published  ‘avec des notes explicatives et critiques, par M. Jean-Baptiste Say’. The first economics textbook with a truly global publication record, including Argentina and India, appears to be that of James Mill in 1821 (LXX).</p>
</blockquote>

<p>The first 25 entries in the list of best-sellers are: </p>

<p><a href="https://i.sstatic.net/lfcre.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/lfcre.png" alt="enter image description here"></a></p>

<p>Finally, the paper gives a reference to a 2006's German book called "<em><a href="https://www.wbg-wissenverbindet.de/2444/Lexikon-oekonomischer-Werke" rel="nofollow noreferrer">Lexikon ökonomischer Werke ...</a></em>", which Google translates as</p>

<blockquote>
  <p>Encyclopedia of Economic Works: 650 pioneering writings from antiquity to the 20th century</p>
</blockquote>

<p>I cannot find a copy of it in English, but it looks like a super amazing book!</p>

CC BY-SA 3.0
2017-09-15T12:33:01.357Z
2017-09-15T12:33:01.357Z
luchonacho
<p>Following part 5 of @Lateral fractal answer to <a href="https://economics.meta.stackexchange.com/questions/12/handy-hints-for-committing-to-the-beta/13#13">"Handy Hints for Committing to the Beta" on the meta</a></p>

<blockquote>
  <p>"Have fun! No fun = No play. No play = No beta. I'm sure I'm not the only one to feel that a fresh private beta is like unwrapping an early Christmas present."</p>
</blockquote>

<p>and in order to complement the question <a href="https://economics.stackexchange.com/questions/140/what-was-economics-like-as-a-field-before-adam-smith-the-father-of-modern-eco">"What was economics like as a field before Adam Smith, the father of <em>modern</em> economics?"</a>, I propose the following contest:</p>

<ul>
<li>Let us try to elect the "best earliest" written instance of economic thought.</li>
</ul>

<p>Answers should contain a short description of the work at stake with proper reference and dates, and votes by users will decide of the winner. </p>

<p>Without a single hope of success, I suggest that people vote according to the following criterion</p>

<p>$$ Vote_i(answer~a) = \begin{cases} 1, \qquad \text{if } u_i(e_a,d_a) \geq T_i \\   0, \qquad \text{if } u_i(e_a,d_a) &lt; T_i\end{cases} $$</p>

<p>where $r_a$ is your subjective assessment of the degree of "economicness" of the described work, $d_a$ is the date at which the work was written, and $u_i$ and $T_i$ are a utility function and threshold of your choice. </p>

<p>Good luck to everyone!</p>

CC BY-SA 3.0
2014-11-20T18:46:38.690Z
Feel free to disagree with this kind of "contest" questions. I have seen them used somehow succesfully in other SE site I am ready to be told that there is no room for them on Economics.SE in general, or in the beta in particular. (By "used successfully" I mean that they are both fun to answer and read AND that they bring about interesting answers)
Martin Van der Linden
<soft-question><history-economic-thought>
Contest: earliest written instance of economic thought
Martin Van der Linden
# Contest: earliest written instance of economic thought

(Asked by: username_0 on 2014-11-20)

Following part 5 of @Lateral fractal answer to ["Handy Hints for Committing to the Beta" on the meta](https://economics.meta.stackexchange.com/questions/12/handy-hints-for-committing-to-the-beta/13#13)

> "Have fun! No fun = No play. No play = No beta. I'm sure I'm not the only one to feel that a fresh private beta is like unwrapping an early Christmas present."

and in order to complement the question ["What was economics like as a field before Adam Smith, the father of *modern* economics?"](https://economics.stackexchange.com/questions/140/what-was-economics-like-as-a-field-before-adam-smith-the-father-of-modern-eco), I propose the following contest:

* Let us try to elect the "best earliest" written instance of economic thought.

Answers should contain a short description of the work at stake with proper reference and dates, and votes by users will decide of the winner.

Without a single hope of success, I suggest that people vote according to the following criterion

$$ Vote\_i(answer~a) = \begin{cases} 1, \qquad \text{if } u\_i(e\_a,d\_a) \geq T\_i \\ 0, \qquad \text{if } u\_i(e\_a,d\_a) < T\_i\end{cases} $$

where $r\_a$ is your subjective assessment of the degree of "economicness" of the described work, $d\_a$ is the date at which the work was written, and $u\_i$ and $T\_i$ are a utility function and threshold of your choice.

Good luck to everyone!

**Tags:** soft-question, history-economic-thought
> **Comments:**
> **username_0**: Feel free to disagree with this kind of "contest" questions. I have seen them used somehow succesfully in other SE site I am ready to be told that there is no room for them on Economics.SE in general, or in the beta in particular. (By "used successfully" I mean that they are both fun to answer and read AND that they bring about interesting answers)  

---

## 5 answers

### Answer by username_0 on 2014-11-20. Score: 13

I was recently amazed to discover instances of [computational social choice](http://www.illc.uva.nl/COMSOC/) in [The Nine Chapters on the Mathematical Art](http://en.wikipedia.org/wiki/The_Nine_Chapters_on_the_Mathematical_Art), the Chinese counterpart of Euclid's element, written by several generations of scholars **from the 10th** up to the 2nd century BCE.

The core issues in social choice theory is the question of fair allocation, or fair collective decision. Once an allocation rule is devised, it remains to make it applicable. One of the topics of [computational social choice](http://www.illc.uva.nl/COMSOC/) is precisely to build efficient algorithm to compute the solution of allocations rules given some inputs.

This is precisely the topic of chapter 3 and chapter 6 of [The Nine Chapters on the Mathematical Art](http://en.wikipedia.org/wiki/The_Nine_Chapters_on_the_Mathematical_Art), which are entitled (resp.) "Proportional Distribution" and "Fair Levies". The two fair division rules considered are the proportional division and the weighted proportional division rule. These rules are taken as given. They are not justified in any axiomatic way in the book, which would be the standard practice in modern social choice theory. Yet algorithm are proposed to apply them which in my views makes it a legitimate early instance of [computational social choice](http://www.illc.uva.nl/COMSOC/) ( because it answer the question "*given* this allocation rule, how can we compute its solution for any possible inputs?" at a time when the answer to this question was far from obvious for the allocation rules considered).

**Some example problems you will find in chapter 3 :**

(All the examples below are taken form [the excellent commented edition of the Nine chapters by Kangshen Shen, John N. Crossley, Hui Liu Oxford University Press, 1999](http://books.google.com/books/about/The_Nine_Chapters_on_the_Mathematical_Ar.html?id=tnplngEACAAJ). This edition contains great references to instances of these problem in written sources from other civilization, such as in Euclid's Elements)

[Problem 1]

> " Now Given five officials of different ranks : Dafu, Bugeng, Zanniao,
> Shangzao, and Gongshi jointly hunting 5 deers. Tell : how many does
> each get if [the deer are] distributed according to their ranks?"

[Problem 2]

> "Now given a cow, a horse and a sheep have eaten up the seedlings of
> someone's field. The landlord demands 5 duo of millet as compensation.
> The shepherd says : "My sheep eats hals as much as the horse." The
> horse owner says : "My horse eats half as much as a cow." The
> compensation is to be distributed according to the rates. Tell : how
> much should each repay?"

**An example problems you will find in chapter 9 :**

[Problem 1]

> "Now given the task of transporting tax millet is distributed among four counties. County A, 8 days from the tax bureau, has 10 000 households; County B, 10 days from the bureau, has 9500 households; County C, 13 days form the bureau, has 12350 households; County D, 20 days from the bureau, has 12 200 households. The total tax millet is 250000 hu needing 10000 carts. Assume the task is to be distributed in accordance with the distance from the bureau and the number of household. Tell : how much millet should each county transport? How many cart does each county employ?"


---

### Answer by username_1 on 2016-04-07. Score: 9

[Game Theory in the Talmud](http://www.biu.ac.il/soc/ec/jlwecon/wp/2.%20AumannGame%20-%20bulletin.pdf) by Robert J. Aumann discusses a bankruptcy problem and a variety of fair division problems of a contested sum from the Talmud, a document written roughly between 200 and 500 CE.
For example:

> A fascinating discussion of bankruptcy occurs in the Babylonian Talmud
> 2 (Ketubot 93a). There are three creditors; the debts are 100, 200 and
> 300. Three cases are considered, corresponding to estates of 100, 200 and 300. The Mishna stipulates the divisions shown in Table 1. When
> the estate is 100, it is divided equally; since 100 is the smallest
> debt, this makes good sense, as pointed out above. The case in which
> the estate is 300 appears based on the different – and inconsistent –
> principle of proportional division. The figures for an estate of 200
> look mysterious; but whatever they may mean, they do not fit any
> obvious extension of either equal or proportional division. A common
> rationale for all three cases is not apparent.

[Behavioral Despair in the Talmud](http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2738350) uses similar techniques on a related class of problems.

The story of [King Solomon](https://en.wikipedia.org/wiki/Solomon) and splitting the baby ([Judgment of Solomon](https://en.wikipedia.org/wiki/Judgment_of_Solomon)) could be interpreted as an early example of a truthful revelation mechanism from approximately 1,000 BCE.

> 16 One day two women[a] came to King Solomon,
>
> 17 and one of them said: Your Majesty, this woman and I live in the same house. Not long ago my baby was born at home,
>
> 18 and three days later her baby was born. Nobody else was there with us.
>
> 19 One night while we were all asleep, she rolled over on her baby, and he died.
>
> 20 Then while I was still asleep, she got up and took my son out of my bed. She put him in her bed, then she put her dead baby next to me.
>
> 21 In the morning when I got up to feed my son, I saw that he was dead. But when I looked at him in the light, I knew he wasn’t my son.
>
> 22 “No!” the other woman shouted. “He was your son. My baby is alive!” “The dead baby is yours,” the first woman yelled. “Mine is alive!” They argued back and forth in front of Solomon,
>
> 23 until finally he said, “Both of you say this live baby is yours.
>
> 24 Someone bring me a sword.” A sword was brought, and Solomon ordered,
>
> 25 “Cut the baby in half! That way each of you can have part of him.”
>
> 26 “Please don’t kill my son,” the baby’s mother screamed. “Your Majesty, I love him very much, but give him to her. Just don’t kill him.” The other woman shouted, “Go ahead and cut him in half. Then neither of us will have the baby.”
>
> 27 Solomon said, “Don’t kill the baby.” Then he pointed to the first
> woman, “She is his real mother. Give the baby to her.”\

[1 Kings 3:16-28 Contemporary English Version (CEV)](https://www.biblegateway.com/passage/?search=1%20Kings%203%3A16-28&version=CEV)

The book [Biblical Games: Game Theory and the Hebrew Bible](https://rads.stackoverflow.com/amzn/click/com/0262523329) argues that many of the stories in the Hebrew bible can be understood as reputation games between the creator of the universe and the Jewish people. Further, in many cases the equilibrium outcomes of these games are consistent with traditional understanding of the meaning of these stories. According to the Documentary hypothesis many of the earliest such stories of the bible were written about 1,000 BCE but the earliest stories are set about 2,000 BCE or even earlier.


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### Answer by username_1 on 2016-04-08. Score: 5

[Fair division: from cake cutting to dispute resolution](https://rads.stackoverflow.com/amzn/click/com/0521556449) (Brams (1996)) claims that the following text from [Hesiod’s Theogony](https://msu.edu/%7Etyrrell/theogon.pdf) (sometime in 750 and 650 BCE) is the earliest recorded example of an [envy-free](https://en.wikipedia.org/wiki/Envy-freeness) (but not regret free!) [fair division problem](https://en.wikipedia.org/wiki/Fair_division):

> For when the gods and mortal men had a dispute at Mecone, even then
> Prometheus was forward to cut up a great ox and set portions before
> them, trying to deceive the mind of Zeus. Before the rest he set flesh
> and inner parts thick with fat upon the hide, covering them with an ox
> paunch; [540] but for Zeus he put the white bones dressed up with
> cunning art and covered with shining fat. Then the father of men and
> of gods said to him: “Son of Iapetus, most glorious of all lords, good
> sir, how unfairly you have divided the portions!” [545] So said Zeus
> whose wisdom is everlasting, rebuking him. But wily Prometheus
> answered him, smiling softly and not forgetting his cunning trick:
> “Zeus, most glorious and greatest of the eternal gods, take which ever
> of these portions your heart within you bids.” [550] So he said,
> thinking trickery. But Zeus, whose wisdom is everlasting, saw and
> failed not to perceive the trick, and in his heart he thought mischief
> against mortal men which also was to be fulfilled. With both hands he
> took up the white fat and was angry at heart, and wrath came to his
> spirit [555] when he saw the white ox-bones craftily tricked out: and
> because of this the tribes of men upon earth burn white bones to the
> deathless gods upon fragrant altars. But Zeus who drives the clouds
> was greatly vexed and said to him: “Son of Iapetus, clever above all!
> [560] So, sir, you have not yet forgotten your cunning arts!” So spake
> Zeus in anger, whose wisdom is everlasting; and from that time he was
> always mindful of the trick, and would not give the power of
> unwearying fire to the Melian1race of mortal men who live on the
> earth. [565]

The text is dense, but what is happening is the classic solution to the fair division among two players where one (Prometheus) of the payers divides the cake (here an ox) and the other (Zeus) chooses which half he prefers.

Another Greek example from Mechanism design comes from [A Toolbox for Economic Design](https://rads.stackoverflow.com/amzn/click/com/0230610609)

> During the Classical Period in Athens (479—322 BCE) direct government
> taxation was not feasible, and the city-state of Athens resorted to
> the private provision of some important public goods, such as the
> fleet necessary for the defense of the city. The Athenians devised the
> liturgical system to deal with this, a system that deserves to be much
> better known especially in the world of economics. The New Oxford
> American Dictionary offers this as its second entry for the word
> liturgy. “(in ancient Athens) a public office or duty performed
> voluntarily by a rich Athenian.”
>
> At the center of the liturgical system was the trierarchy, which meant
> the “command, outfitting, and maintenance of a war ship for one year’
> ‘ (Kaiser, 2007, page 445) . The war ship this refers to is the
> trireme, a fast galley with three banks of oars that proved very
> effective in the Battle of Salamis against the Persian Navy, which
> Persian king Xerxes had to watch being destroyed from a nearby hill in
> 479 BC. This battle was decisive in repelling the Persian threat to
> what is now mainland Greece, and it is no accident that the Classical
> Period is taken to start in the year of the Battle of Salamis. The
> intrigue that the trierarchy holds for us is not the same as for
> history buffs. It was a remarkable institution that maintained a high
> level of support for the Athenian fleet by wealthy Athenians for a
> long time by giving them the right incentives.
>
> The burden and honor of the trierarchy fell on the members of the
> landowning classes. These individuals had visible wealth,
> self-proclaimed wealth, and actual wealth, to use categories relevant
> for the trierarchy. There was a strong incentive to hide part of one’s
> wealth. This could easily allow wealthy citizens to shirk their
> liturgical duties. The institution of trierarchy was an early example
> of a mechanism, a concept we discuss in this chapter and formally
> define in section 2 . Its purpose was to make the true wealth of
> citizens become apparent so they would not be able to shirk their
> duties. Athens was governed then by the boule, a council chosen
> randomly from the population of citizens. The council did not observe
> the true wealth of citizens, it only observed visible wealth, such as
> land holdings, slaves, and mines. Once it identified the wealthiest
> citizens, it imposed trierarchy duties on them. If an individual was
> assigned such a duty, he could either perform the duty or attempt the
> antidosis challenge. This challenge meant that the citizen charged
> with the trierarchy duty could point his finger to another citizen and
> say that the latter is wealthier and hence more fit to carry out the
> duty than himself. The challenged citizen had three options: (a) agree
> that he is wealthier than the challenger and take on the trierarchy
> duty; (b) disagree that he is wealthier than the challenger and offer
> to swap his visible wealth for the challenger’s visible wealth so that
> the challenger would perform the duty but with the challenged
> individual’s wealth at his disposal; or (c) disagree that he is
> wealthier than the challenger and let the court decide, based on the
> court’s subsequent investigation of the wealth of the challenger and
> the challenged.
>
> This system had a purpose: in modern economic terms,
> it was aimed at securing the efficient provision of the public good of
> national defense. It was also sophisticated in that it took account of
> the incentives of individuals to free-ride, and actively counteracted
> them. The study of social goals and institutionalized incentive
> systems to achieve the goals is at the heart of this book. We turn now
> to a more general discussion of social goals and incentives embodied
> in institutions as an introduction to our methodical investigation of
> the topic in the rest of the book. Rest assured that we will return to
> the fascinating antidosis challenge system for the trierarchy when we
> have developed enough of the necessary theoretical tools to see how it
> provided incentives for people to perform their duties.


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### Answer by username_2 on 2017-09-15. Score: 3

In 350 BC Aristotle in his works politics II, part III wrote about the tragedy of the commons:

> That all persons call the same thing mine in the sense in which each does so may be a fine thing, but it is impracticable; or if the words are taken in the other sense, such a unity in no way conduces to harmony. And there is another objection to the proposal. For that which is common to the greatest number has the least care bestowed upon it. Every one thinks chiefly of his own, hardly at all of the common interest; and only when he is himself concerned as an individual.
> [Aristotle, 350 BC, Politics, Translated by: Benjamin Jowett](http://classics.mit.edu/Aristotle/politics.2.two.html)


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### Answer by username_3 on 2017-09-15. Score: 3

There is an amazing new working paper by Erik Reinhart and coauthors, titled "*[80 Economic Bestsellers before 1850: A Fresh Look at the History of Economic Thought](https://developingeconomics.files.wordpress.com/2017/06/reinert-et-al-80-economic-bestsellers-before-1850-3.pdf)*". The work started in 1968 (!) and is soon to become a book. The paper focuses only on "bestseller" (apparently defined as number of copies produced/sold, albeit is not clear). The book is to include lesser known works.

Some characteristics of the books included:

> one book printed in the 1400s, 4 books published in the 1500s, 13 during the 1600s, 46 during the 1700s, and 16 during the period from 1800 to 1848.
>
> The language distribution is as follows:
>
> * 4 books were originally printed in Latin, three translated from ancient Greek authors Aristotle and Xenophon (I, II, IV) and one by a German (XXXIII Pufendorf)
> * 1 book was originally published bilingual, Latin and Italian (XXXI
>   Belloni)
> * 2 books were originally published in Dutch
> * 2 in Spanish
> * 7 in German, of which one by an Austrian (XLV Sonnenfels) and one by a Swiss (XLI Hirzel)
> * 7 in Italian
> * 27 in English, of which 4 by Scots (XIX Law, XLVI Steuart, LIII Smith, LXXI McCulloch), 2 by Welshmen (XXX Tucker, LXVI Owen), and 3 by Americans (XXXVII Franklin, LVIII Paine, LX Hamilton)
> * 30 in French, 2 of which by Germans (XXXIX Bielfeld & XLIII  
>   Beausobre), one by an Italian (XLIX Galiani), and 2 authors hail from the Republic and Canton of Geneva (XXXVIII Rousseau, LI, LII, LV, LVII Necker)
>
> A main guideline for inclusion has been if the author is included in the 1900-1901 edition of Palgrave’s Dictionary of Political Economy
> or similar works in other languages.

Some extracts:

> The most successful economics publication of the period is no doubt Benjamin Franklin’s Way to Wealth, first published in 1757, which reached more than 1.100 editions before 1850. It is not a typical textbook of economics, but it is in many ways a handbook in capitalist ethics.
>
> We consider it an important achievement that this publication now brings to the forefront the founders both of Italian and German economics, Giovanni Botero (V) and Veit Ludwig von Seckendorff (IX).
>
> There are no Wikipedia entries for some of our authors, for Culpeper (VI), Cary (XVIII), Gee (XXVI), and Belloni (XXXI). It is worth noticing that, in addition to Culpeper, the only English economists who are not represented on Wikipedia are the two who most honestly explained English economic policy, e.g. (in the case of Gee) the prohibition of manufacturing in the colonies. For Herbert (XXXIII) Wikipedia has only name, dates, and the title of his book.
>
> Data shows that the ideas of Adam Smith appear to diffuse
> more through French writers like Jean-Baptiste Say (LXV, LXVII, LXXII)
> and Droz (LXXIII) than through David Ricardo (LXIX), In fact Ricardo him-
> self, in the translations both into French  
> and German, was published ‘avec des notes explicatives et critiques, par M. Jean-Baptiste Say’. The first economics textbook with a truly global publication record, including Argentina and India, appears to be that of James Mill in 1821 (LXX).

The first 25 entries in the list of best-sellers are:

[![enter image description here](https://i.sstatic.net/lfcre.png)](https://i.sstatic.net/lfcre.png)

Finally, the paper gives a reference to a 2006's German book called "*[Lexikon ökonomischer Werke ...](https://www.wbg-wissenverbindet.de/2444/Lexikon-oekonomischer-Werke)*", which Google translates as

> Encyclopedia of Economic Works: 650 pioneering writings from antiquity to the 20th century

I cannot find a copy of it in English, but it looks like a super amazing book!


---

