The logit-response dynamics

被引：123
作者：
Alos-Ferrer, Carlos [1 ]
Netzer, Nick [2 ]
机构：
[1] Univ Konstanz, Dept Econ, D-78457 Constance, Germany
[2] Univ Zurich, Socioecon Inst, CH-8006 Zurich, Switzerland
来源：
GAMES AND ECONOMIC BEHAVIOR | 2010年 / 68卷 / 02期
基金：
奥地利科学基金会;
关键词：
Learning in games; Logit-response dynamics; Best-response potential games; LONG-RUN; EVOLUTION; EQUILIBRIA; GAMES; STABILITY; RULES; MODEL;
D O I：
10.1016/j.geb.2009.08.004
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
We develop a characterization of stochastically stable states for the logit-response learning dynamics in games, with arbitrary specification of revision opportunities. The result allows us to show convergence to the set of Nash equilibria in the class of best-response potential games and the failure of the dynamics to select potential maximizers beyond the class of exact potential games. We also Study to which extent equilibrium selection is robust to the specification of revision opportunities. Our techniques can be extended and applied to a wide class of learning dynamics in games, (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：413 / 427
页数：15
相关论文
共 35 条
[1]   The evolutionary stability of perfectly competitive behavior [J].
Alós-Ferrer, C ;
Ania, AB .
ECONOMIC THEORY, 2005, 26 (03) :497-516
[2]  
ALOSFERRER C, 2007, LEARNING MARKE UNPUB
[3]  
Baron R, 2003, INT J GAME THEORY, V31, P541
[4]   A note on control costs and logit rules for strategic games [J].
Baron, R ;
Durieu, J ;
Haller, H ;
Solal, P .
JOURNAL OF EVOLUTIONARY ECONOMICS, 2002, 12 (05) :563-575
[5]   Waiting times and equilibrium selection [J].
Beggs, A .
ECONOMIC THEORY, 2005, 25 (03) :599-628
[6]   Evolution with state-dependent mutations [J].
Bergin, J ;
Lipman, BL .
ECONOMETRICA, 1996, 64 (04) :943-956
[7]  
Blume L E., 1997, The Economy as an Evolving Complex System II, P425
[8]  
Blume LE, 2003, GAME ECON BEHAV, V44, P251, DOI [10.1016/S0899-8256(02)00554-7, 10.1016/S0899-8256(03)00554-7]
[9]   THE STATISTICAL-MECHANICS OF STRATEGIC INTERACTION [J].
BLUME, LE .
GAMES AND ECONOMIC BEHAVIOR, 1993, 5 (03) :387-424
[10]  
DOKUMACI E, 2007, STOCHASTIC EVO UNPUB
1234