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Finite Population Dynamics and Mixed Equilibria

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Abstract

This paper examines the stability of mixed-strategy Nash equilibria of sym- metric games, viewed as population profiles in dynamical systems with learning within a single, finite population. Alternative models of imitation and myopic best reply are considered and combined with different assumptions about the speed of adjustment. It is found that specific refinements of mixed Nash equi- libria serve to identify focal rest points of these dynamics in general games. The relationship between both concepts is studied. In the 2 x 2 case, both im- itation and myopic best reply yield strong stability results for the same type of mixed Nash equilibria.

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Paper provided by University of Vienna, Department of Economics in its series Vienna Economics Papers with number 0008.

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Date of creation: Oct 2000
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Handle: RePEc:vie:viennp:0008

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Web page: http://www.univie.ac.at/vwl

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  1. Robson, Arthur J. & Vega-Redondo, Fernando, 1996. "Efficient Equilibrium Selection in Evolutionary Games with Random Matching," Journal of Economic Theory, Elsevier, vol. 70(1), pages 65-92, July.
  2. Joerg Oechssler, 1994. "An Evolutionary Interpretation Of Mixed-Strategy Equilibria," Game Theory and Information 9404001, EconWPA.
  3. Boylan, Richard T., 1992. "Laws of large numbers for dynamical systems with randomly matched individuals," Journal of Economic Theory, Elsevier, vol. 57(2), pages 473-504, August.
  4. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.
  5. M. Kandori & R. Rob, 2010. "Evolution of Equilibria in the Long Run: A General Theory and Applications," Levine's Working Paper Archive 502, David K. Levine.
  6. Carlos Alós-Ferrer, 2000. "Learning, Memory, and Inertia," Vienna Economics Papers 0003, University of Vienna, Department of Economics.
  7. Alos-Ferrer, Carlos & Ania, Ana B. & Schenk-Hoppe, Klaus Reiner, 2000. "An Evolutionary Model of Bertrand Oligopoly," Games and Economic Behavior, Elsevier, vol. 33(1), pages 1-19, October.
  8. Alos-Ferrer, Carlos, 1999. "Dynamical Systems with a Continuum of Randomly Matched Agents," Journal of Economic Theory, Elsevier, vol. 86(2), pages 245-267, June.
  9. repec:fth:iniesr:534 is not listed on IDEAS
  10. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
  11. Alos-Ferrer, C., 1998. "Individual Randomness in Economic Models with a Continuum Agents," Papers 9807, Washington St. Louis - School of Business and Political Economy.
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Cited by:
  1. Carlos Alós-Ferrer & Georg Kirchsteiger, 2010. "General Equilibrium and the Emergence of (Non) Market Clearing Trading Institutions," ULB Institutional Repository 2013/149592, ULB -- Universite Libre de Bruxelles.
  2. Alos-Ferrer, Carlos & Kirchsteiger, Georg & Walzl, Markus, 2006. "On the Evolution of Market Institutions: The Platform Design Paradox," CEPR Discussion Papers 5538, C.E.P.R. Discussion Papers.
  3. Carlos Alós–Ferrer & Nick Netzer, 2012. "Robust stochastic stability," ECON - Working Papers 063, Department of Economics - University of Zurich, revised Jan 2014.

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