Angelo Antoci () (University of Sassari) Massimiliano Landi () (School of Economics and Social Sciences, Singapore Management University) Pier Luigi Sacco () (IUAV, Venice)
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We consider a (deterministic) evolutionary model where players have dynamic expectations about the strategy distribution. We provide a global analysis of the co-evolution of play and expectations for a generic two{by{two game. Besides the the typical indeterminacy of the evolutionary dynamics, we find some other ones: for any initial strategy configuration the dynamics can converge to any asymptotically stable fixed point, for different initial values of the expectations. Moreover, starting from the same initial pair of strategy configuration and values of expectations, the dynamics may lead to different asymptotically stable fixed points for different parameters of the expectations.
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Paper provided by Singapore Management University, School of Economics in its series Working Papers with number
10-2006.
Length: 23 pages Date of creation: Mar 2006 Date of revision: Publication status: Published in SMU Economics and Statistics Working Paper Series Handle: RePEc:siu:wpaper:10-2006
Find related papers by JEL classification: C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
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Akihiko Matsui & Kiminori Matsuyama, 1990.
"An Approach to Equilibrium Selection,"
Discussion Papers
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[Downloadable!]
Other versions:
Akihiko Matsui & Kiminori Matsuyama, 1991.
"An Approach to Equilibrium Selection,"
Discussion Papers
1065, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
[Downloadable!]