Stochastic approximations and differential inclusions, part II: Applications
Author(s)
Date issued
2006
In
Mathematics of Operations Research
Vol
4
No
31
From page
673
To page
695
Subjects
stochastic approximation differential inclusions set-valued dynamical systems approachability no regret consistency smooth fictitious play FICTITIOUS PLAY CORRELATED EQUILIBRIUM DYNAMICS GAMES CONSISTENCY REGRET
Abstract
We apply the theoretical results on "stochastic approximations and differential inclusions" developed in Benaim et al. [M. Benaim, J. Hofbauer, S. Sorin. 2005. Stochastic approximations and differential inclusions. SIAM J. Control Optim. 44 328-348] 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. 45 375-394]), and smooth fictitious play [D. Fudenberg, D. K. Levine. 1995. Consistency and cautious fictitious play. J. Econom. Dynam. Control 19 1065-1089].
Publication type
journal article
File(s)