Dynamics and Learning

Author(s):  
Jacob K. Goeree ◽  
Charles A. Holt ◽  
Thomas R. Palfrey

This chapter explores questions related to learning and dynamics. The first part explores dynamic quantal response equilibrium models where strategies are conditioned on observed histories of past decisions and outcomes of stage games. The second part considers models in which players are learning about others' behavior via a process in which they may update and respond to current beliefs in a noisy (quantal) manner. The final section explores learning models that involve quantal responses to beliefs formed by processing information from finite (but possibly long) histories of prior or observed action profiles. The formulation permits consideration of a wide variety of exogenous or even endogenous (e.g., least squares) learning rules.

Author(s):  
Jacob K. Goeree ◽  
Charles A. Holt ◽  
Thomas R. Palfrey

This chapter lays out the general theory of quantal response equilibrium (QRE) for extensive-form games. The formulation of the model is necessarily more complicated because timing and information now play a direct role in the decision maker's choice. This can have interesting and unanticipated consequences. It first describes four possible ways to define QRE in extensive-form games, depending on how the games are represented. It then turns to the structural agent quantal response equilibrium (AQRE) extensive-form games. This is followed by a discussion of the logit AQRE model, which implies a unique selection from the set of Nash equilibria. This selection is defined by the connected component of the logit AQRE correspondence. The final section presents an AQRE analysis of the centipede game.


2021 ◽  
Author(s):  
Chunlei Zhao ◽  
Zhiwei He ◽  
Ming Fang ◽  
Shoujiang Yu ◽  
Yifan Guo

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