Time average replicator and best reply dynamics
AbstractUsing an explicit representation in terms of the logit map we show, in a unilateral framework, that the time average of the replicator dynamics is a perturbed solution of the best reply dynamics.
Download InfoTo our knowledge, this item is not available for download. To find whether it is available, there are three options:
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
Bibliographic InfoPaper provided by Paris Dauphine University in its series Economics Papers from University Paris Dauphine with number 123456789/1014.
Date of creation: 2009
Date of revision:
Publication status: Published in Mathematics of Operations Research, 2009, Vol. 34, no. 2. pp. 263-269.Length: 6 pages
Replicator dynamics; Best reply dynamics; Logit map; Perturbed differential inclusion; Internally chain transitive set; Attractor;
Other versions of this item:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- A. Gaunersdorfer & J. Hofbauer, 2010.
"Fictitious Play, Shapley Polygons and the Replicator Equation,"
Levine's Working Paper Archive
438, David K. Levine.
- Gaunersdorfer Andrea & Hofbauer Josef, 1995. "Fictitious Play, Shapley Polygons, and the Replicator Equation," Games and Economic Behavior, Elsevier, Elsevier, vol. 11(2), pages 279-303, November.
- Foster, Dean P. & Vohra, Rakesh, 1999. "Regret in the On-Line Decision Problem," Games and Economic Behavior, Elsevier, Elsevier, vol. 29(1-2), pages 7-35, October.
- Sergiu Hart & Andreu Mas-Colell, 1996.
"A simple adaptive procedure leading to correlated equilibrium,"
Economics Working Papers, Department of Economics and Business, Universitat Pompeu Fabra
200, Department of Economics and Business, Universitat Pompeu Fabra, revised Dec 1996.
- Sergiu Hart & Andreu Mas-Colell, 2000. "A Simple Adaptive Procedure Leading to Correlated Equilibrium," Econometrica, Econometric Society, Econometric Society, vol. 68(5), pages 1127-1150, September.
- Sergiu Hart & Andreu Mas-Colell, 1997. "A Simple Adaptive Procedure Leading to Correlated Equilibrium," Game Theory and Information, EconWPA 9703006, EconWPA, revised 24 Mar 1997.
- S. Hart & A. Mas-Collel, 2010. "A Simple Adaptive Procedure Leading to Correlated Equilibrium," Levine's Working Paper Archive 572, David K. Levine.
- Ed Hopkins, 2004.
"Two Competing Models of How People Learn in Games,"
ESE Discussion Papers, Edinburgh School of Economics, University of Edinburgh
51, Edinburgh School of Economics, University of Edinburgh.
- I. Gilboa & A. Matsui, 2010.
"Social Stability and Equilibrium,"
Levine's Working Paper Archive
534, David K. Levine.
- Michel Benaim & Josef Hofbauer & Sylvain Sorin, 2005. "Stochastic Approximations and Differential Inclusions II: Applications," Levine's Bibliography 784828000000000098, UCLA Department of Economics.
- Viossat, Yannick, 2007.
"The Replicator Dynamics Does not Lead to Correlated Equilibria,"
Economics Papers from University Paris Dauphine, Paris Dauphine University
123456789/1061, Paris Dauphine University.
- Viossat, Yannick, 2007. "The replicator dynamics does not lead to correlated equilibria," Games and Economic Behavior, Elsevier, Elsevier, vol. 59(2), pages 397-407, May.
- Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2003. "Stochastic Approximations and Differential Inclusions," Working Papers hal-00242990, HAL.
- Freund, Yoav & Schapire, Robert E., 1999. "Adaptive Game Playing Using Multiplicative Weights," Games and Economic Behavior, Elsevier, Elsevier, vol. 29(1-2), pages 79-103, October.
- Yannick Viossat & Andriy Zapechelnyuk, 2013.
"No-regret Dynamics and Fictitious Play,"
- Lahkar, Ratul & Seymour, Robert M., 2013. "Reinforcement learning in population games," Games and Economic Behavior, Elsevier, Elsevier, vol. 80(C), pages 10-38.
- Laraki, Rida & Mertikopoulos, Panayotis, 2013. "Higher order game dynamics," Journal of Economic Theory, Elsevier, Elsevier, vol. 148(6), pages 2666-2695.
- Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2012. "Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory," Dynamic Games and Applications, Springer, Springer, vol. 2(2), pages 195-205, June.
- repec:hal:wpaper:hal-00713871 is not listed on IDEAS
- Russell Golman, 2011. "Why learning doesn’t add up: equilibrium selection with a composition of learning rules," International Journal of Game Theory, Springer, Springer, vol. 40(4), pages 719-733, November.
- Yannick Viossat, 2012. "Game Dynamics and Nash Equilibria," Working Papers hal-00756096, HAL.
- van Strien, Sebastian & Sparrow, Colin, 2011. "Fictitious play in 3x3 games: Chaos and dithering behaviour," Games and Economic Behavior, Elsevier, Elsevier, vol. 73(1), pages 262-286, September.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Alexandre Faure).
If references are entirely missing, you can add them using this form.