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Quantal response equilibria for normal form games. (English) Zbl 0832.90126
Summary: We investigate the use of standard statistical models for quantal choice in a game theoretic setting. Players choose strategies based on relative expected utility and assume other players do so as well. We define a quantal response equilibrium (QRE) as a fixed point of this process and establish existence.
For a logit specification of the error structure, we show that as the error goes to zero, QRE approaches a subset of Nash equilibria and also implies a unique selection from the set of Nash equilibria in generic games. We fit the model to a variety of experimental data sets by using maximum likelihood estimation.

##### MSC:
 91A10 Noncooperative games
##### Keywords:
quantal response equilibrium; Nash equilibria
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