Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reputation structure in indirect reciprocity under noisy and private
  assessment   Evaluation relationships are pivotal for maintaining a cooperative society. A
formation of the evaluation relationships has been discussed in terms of
indirect reciprocity, by modeling dynamics of good or bad reputations among
individuals. Recently, a situation that individuals independently evaluate
others with errors (i.e., noisy and private reputation) is considered, where
the reputation structure (from what proportion of individuals in the population
each receives good reputations, defined as goodness here) becomes complex, and
thus has been studied mainly with numerical simulations. The present study
gives a theoretical analysis of such complex reputation structure. We formulate
a stochastic transition of goodness of individuals. By considering a large
population, we derive dynamics of the frequency distribution of goodnesses. An
equilibrium state of the dynamics is approximated by a summation of Gaussian
functions. We demonstrate that the theoretical solution well fits the numerical
calculation. From the theoretical solution, we obtain a new interpretation of
the complex reputation structure. This study provides a novel mathematical
basis for cutting-edge studies on indirect reciprocity.

21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex