Time Average Replicator and Best-Reply Dynamics
Published Online:24 Apr 2009https://doi.org/10.1287/moor.1080.0359
References
- Stochastic approximations and differential inclusions. SIAM J. Control Optim. (2005) 44(1):328–348Crossref, Google Scholar
- Stochastic approximations and differential inclusions. Math. Oper. Res. (2006) 31:673–695Link, Google Scholar
- Topological Spaces (1997) (Dover Publications, Mineola, NY) Google Scholar
- , Koopmans T. C. Iterative solution of games by fictitious play. Activity Analysis of Production and Allocation (1951) 13(Wiley, New York) 374–376Google Scholar
- Evolutionary Dynamics and Extensive Form Games (2003) (M.I.T. Press, Cambridge, MA) Google Scholar
- Regret in the on-line decision problem. Games Econom. Behav. (1999) 29(1–2):7–35Crossref, Google Scholar
- Adaptive game playing using multiplicative weights. Games Econom. Behav. (1999) 29(1–2):79–103Crossref, Google Scholar
- Consistency and cautious fictitious play. J. Econom. Dynam. Control (1995) 19(5–7):1065–1089Crossref, Google Scholar
- Fictitious play, Shapley polygons, and the replicator equation. Games Econom. Behav. (1995) 11(2):279–303Crossref, Google Scholar
- Social stability and equilibrium. Econometrica (1991) 59(3):859–867Crossref, Google Scholar
- , Drescher M., Tucker A. W., Wolfe P. Approximation to Bayes risk in repeated play. Contributions to the Theory of Games, III (1957) 3(Princeton University Press, Princeton, NJ) 97–139Google Scholar
- Adaptive heuristics. Econometrica (2005) 73(5):1401–1430Crossref, Google Scholar
- A simple adaptive procedure leading to correlated equilibrium. Econometrica (2000) 68(5):1127–1150Crossref, Google Scholar
- Stability for the Best Response Dynamics (1995) . PreprintGoogle Scholar
- Time Averages of the Replicator Dynamics and Correlated Equilibria (2004) . PreprintGoogle Scholar
- Evolutionary Games and Population Dynamics (1998) (Cambridge University Press, Cambridge, UK) Crossref, Google Scholar
- Best response dynamics for continuous zero-sum games. Discrete Contin. Dynam. Systems Ser. B (2006) 6(1):215–224Google Scholar
- Two competing models of how people learn in games. Econometrica (2002) 70(6):2141–2166Crossref, Google Scholar
- The weighted majority algorithm. Inform. Comput. (1994) 108:212–261Crossref, Google Scholar
- Evolution and the Theory of Games (1982) (Cambridge University Press, Cambridge, UK) Crossref, Google Scholar
- Some qualitative differences between the replicator dynamics of two player and n player games. Nonlinear Anal. (1997) 30(3):1411–1417Crossref, Google Scholar
- An iterative method of solving a game. Ann. Math. (1951) 54:296–301Crossref, Google Scholar
- Convex Analysis (1970) (Princeton University Press, Princeton, NJ) Crossref, Google Scholar
- Exponential weight algorithm in continuous time. Math. Programming Ser. B (2009) 116(1–2):513–528Crossref, Google Scholar
- Evolutionary stable strategies and game dynamics. Math. Biosci. (1978) 40(2):145–156Crossref, Google Scholar
- The replicator dynamics does not lead to correlated equilibria. Games Econom. Behav. (2007) 59(2):397–407Crossref, Google Scholar

