Stochastic Approximations and Differential Inclusions, Part II: Applications
We apply the theoretical results on "stochastic approximations and differential inclusions" developed in Benaïm et al. [M. Benaïm, J. Hofbauer, S. Sorin. 2005. Stochastic approximations and differential inclusions. SIAM J. Control Optim. 44 328348] to several adaptive processes used in ga...
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Published in | Mathematics of operations research Vol. 31; no. 4; pp. 673 - 695 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Linthicum
INFORMS
01.11.2006
Institute for Operations Research and the Management Sciences |
Subjects | |
Online Access | Get full text |
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Summary: | We apply the theoretical results on "stochastic approximations and differential inclusions" developed in Benaïm et al. [M. Benaïm, J. Hofbauer, S. Sorin. 2005. Stochastic approximations and differential inclusions. SIAM J. Control Optim. 44 328348] to several adaptive processes used in game theory, including classical and generalized approachability, no-regret potential procedures (Hart and Mas-Colell [S. Hart, A. Mas-Colell. 2003. Regret-based continuous time dynamics. Games Econom. Behav. 45 375394]), and smooth fictitious play [D. Fudenberg, D. K. Levine. 1995. Consistency and cautious fictitious play. J. Econom. Dynam. Control 19 10651089]. |
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ISSN: | 0364-765X 1526-5471 |
DOI: | 10.1287/moor.1060.0213 |