The replicator dynamics does not lead to correlated equilibria
It is shown that, under the replicator dynamics, all strategies played in correlated equilibrium may be eliminated, so that only strategies with zero marginal probability in all correlated equilibria survive. This occurs in particular in a family of 4×4 games built by adding a strategy to a Rock-Paper-Scissors game.
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- Cripps, Martin, 1991. "Correlated equilibria and evolutionary stability," Journal of Economic Theory, Elsevier, vol. 55(2), pages 428-434, December.
- Sergiu Hart, 2004.
122247000000000471, UCLA Department of Economics.
- Sergiu Hart, 2005. "Adaptive Heuristics," Econometrica, Econometric Society, vol. 73(5), pages 1401-1430, 09.
- Sergiu Hart, 2013. "Adaptive Heuristics," World Scientific Book Chapters, in: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics, chapter 11, pages 253-287 World Scientific Publishing Co. Pte. Ltd..
- Hofbauer, Josef & Weibull, Jîrgen W., 1995.
"Evolutionary selection against dominated strategies,"
CEPREMAP Working Papers (Couverture Orange)
- Hofbauer, Josef & Weibull, Jorgen W., 1996. "Evolutionary Selection against Dominated Strategies," Journal of Economic Theory, Elsevier, vol. 71(2), pages 558-573, November.
- J. Hofbauer & J. Weibull, 2010. "Evolutionary Selection against dominated strategies," Levine's Working Paper Archive 444, David K. Levine.
- Hofbauer, Josef & Weibull, Jörgen W., 1995. "Evolutionary Selection against Dominated Strategies," Working Paper Series 433, Research Institute of Industrial Economics.
- 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, vol. 11(2), pages 279-303, November.
- AUMANN, Robert J., "undated".
"Subjectivity and correlation in randomized strategies,"
CORE Discussion Papers RP
167, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
- R. Aumann, 2010. "Subjectivity and Correlation in Randomized Strategies," Levine's Working Paper Archive 389, David K. Levine.
- Young, H. Peyton, 2004. "Strategic Learning and its Limits," OUP Catalogue, Oxford University Press, number 9780199269181.
- Sergiu Hart & Andreu Mas-Colell, 1999.
"A General Class of Adaptive Strategies,"
Game Theory and Information
9904001, EconWPA, revised 23 Mar 2000.
- E. Dekel & S. Scotchmer, 2010.
"On the Evolution of Optimizing Behavior,"
Levine's Working Paper Archive
434, David K. Levine.
- Sergiu Hart & Andreu Mas-Colell, 2003. "Uncoupled Dynamics Do Not Lead to Nash Equilibrium," American Economic Review, American Economic Association, vol. 93(5), pages 1830-1836, December.
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