Quantal Response Methods for Equilibrium Selection in Normal Form Games

2013 ◽  
Author(s):  
Boyu Zhang
Keyword(s):  
Normal Form ◽  
Equilibrium Selection ◽  
Quantal Response ◽  
Normal Form Games

Quantal Response Equilibrium in Normal-Form Games

2016 ◽  
Author(s):  
Jacob K. Goeree ◽  
Charles A. Holt ◽  
Thomas R. Palfrey
Keyword(s):  
Normal Form ◽  
Cost Model ◽  
Reduced Form ◽  
Individual Choice ◽  
Response Functions ◽  
Quantal Response ◽  
Quantal Response Equilibrium ◽  
Control Cost ◽  
Normal Form Games ◽  
Best Response

This chapter lays out the general theory of quantal response equilibrium (QRE) for normal-form games. It starts with the reduced-form approach to QR, based on the direct specification of “regular” quantal or smoothed best-response functions required to satisfy four intuitive axioms of stochastic choice. A simple asymmetric matching pennies game is used to illustrate these ideas and show that QRE imposes strong restrictions on the data, even without parametric assumptions on the quantal response functions. Particular attention is given to the logit QRE, since it is the most commonly used approach taken when QRE is applied to experimental or other data. The discussion includes the topological and limiting properties of logit QRE and connections with refinement concepts. QRE is also related to several other equilibrium models of imperfectly rational behavior in games, including a game-theoretic equilibrium version of Luce's (1959) model of individual choice, Rosenthal's (1989) linear response model, and Van Damme's (1987) control cost model; these connections are explained in the chapter.

scholarly journals Quantal Response Equilibria for Normal Form Games

1995 ◽  
Vol 10 (1) ◽  
pp. 6-38 ◽  
Author(s):  
Richard D. McKelvey ◽  
Thomas R. Palfrey
Keyword(s):  
Normal Form ◽  
Quantal Response ◽  
Normal Form Games

scholarly journals Opponent learning awareness and modelling in multi-objective normal form games

2021 ◽  
Author(s):  
Roxana Rădulescu ◽  
Timothy Verstraeten ◽  
Yijie Zhang ◽  
Patrick Mannion ◽  
Diederik M. Roijers ◽  
...  
Keyword(s):  
Normal Form ◽  
Normal Form Games ◽  
Multi Objective
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