<p>I am trying to learn more about Game Theory - here is a game I invented:</p>
<ul>
<li>There are two Players: Player 1 and Player 2</li>
<li>There are two Coins: Coin 1 and Coin 2</li>
<li>Coin 1 lands on &quot;Heads&quot; with a probability of 0.5 and &quot;Tails&quot; with a probability of 0.5</li>
<li>Coin 2 lands on &quot;Heads&quot; with a probability of 0.7 and &quot;Tails&quot; with a probability of 0.3</li>
<li>If Coin 1 is &quot;Heads&quot;, a score of -1 is obtained; if Coin 1 is &quot;Tails&quot;, a score of +1 is obtained</li>
<li>If Coin 2 is &quot;Heads&quot;, a score of -3 is obtained; if Coin 2 is &quot;Tails&quot;, a score of +4 is obtained</li>
</ul>
<p>In this game, Player 1 always starts first - Player 1 chooses either Coin 1 or Coin 2, flips the coin that they select and gets a &quot;score&quot;. Then, Player 2 chooses either Coin 1 or Coin 2, flips the coin that they select and get a &quot;score&quot;. The Player with the higher score wins, the Player with the lower score loses (a &quot;tie&quot; is also possible).</p>
<p>The way I have set it up, Player 2 is always at an advantage - if he sees that Player 1 took a chance on the &quot;high risk&quot; coin (i.e. Coin 2): if Player 1 got lucky (Coin1 = Tails), Player 2 can only win by also choosing Coin 2 ; however, if Player 1 got unlucky Coin2 = Heads), Player 2 can win by choosing the low risk coin.</p>
<p><strong>Is there a specific name for this &quot;type&quot; of game?</strong> The closest thing I could find was &quot;Full Information Games&quot;.</p>
<p>Is this correct?</p>
<p>Thanks!</p>

CC BY-SA 4.0
2022-03-07T07:44:11.627Z
Hi! 1. Game theory is not specifically about games in a traditional sense. Most "named" games are analogies for some socioeconomic phenomenon. If you make up a game with nontrivial rules it is likely it will not have a name in game theory.
Giskard
CC BY-SA 4.0
2022-03-07T07:46:19.033Z
2. What do you mean by "type"? This is not clear, and putting in quotes does not help. The game you describe is a game with complete information. It is also a sequential game, a two player game, an antagonistic game, etc. There are a lot of categories.
Giskard
<game-theory>
Is there a term of a "basic" Game Theory Game?
stats_noob
# Is there a term of a "basic" Game Theory Game?

(Asked by: username_0 on 2022-03-07)

I am trying to learn more about Game Theory - here is a game I invented:

* There are two Players: Player 1 and Player 2
* There are two Coins: Coin 1 and Coin 2
* Coin 1 lands on "Heads" with a probability of 0.5 and "Tails" with a probability of 0.5
* Coin 2 lands on "Heads" with a probability of 0.7 and "Tails" with a probability of 0.3
* If Coin 1 is "Heads", a score of -1 is obtained; if Coin 1 is "Tails", a score of +1 is obtained
* If Coin 2 is "Heads", a score of -3 is obtained; if Coin 2 is "Tails", a score of +4 is obtained

In this game, Player 1 always starts first - Player 1 chooses either Coin 1 or Coin 2, flips the coin that they select and gets a "score". Then, Player 2 chooses either Coin 1 or Coin 2, flips the coin that they select and get a "score". The Player with the higher score wins, the Player with the lower score loses (a "tie" is also possible).

The way I have set it up, Player 2 is always at an advantage - if he sees that Player 1 took a chance on the "high risk" coin (i.e. Coin 2): if Player 1 got lucky (Coin1 = Tails), Player 2 can only win by also choosing Coin 2 ; however, if Player 1 got unlucky Coin2 = Heads), Player 2 can win by choosing the low risk coin.

**Is there a specific name for this "type" of game?** The closest thing I could find was "Full Information Games".

Is this correct?

Thanks!

**Tags:** game-theory
> **Comments:**
> **username_1**: Hi! 1. Game theory is not specifically about games in a traditional sense. Most "named" games are analogies for some socioeconomic phenomenon. If you make up a game with nontrivial rules it is likely it will not have a name in game theory.  
> **username_1**: 2. What do you mean by "type"? This is not clear, and putting in quotes does not help. The game you describe is a game with complete information. It is also a sequential game, a two player game, an antagonistic game, etc. There are a lot of categories.  

---

## 0 answers

