Sophisticated Imitation in Cyclic Games
Journal of Evolutionary Economics, 2000, 10, 5, 523-543.
SCHLAG, Karl H., HOFBAUER, Josef, Sophisticated Imitation in Cyclic Games, Journal of Evolutionary Economics, 2000, 10, 5, 523-543. - http://hdl.handle.net/1814/4455
Retrieved from Cadmus, EUI Research Repository
Individuals belonging to two large populations are repeatedly randomly matched to play a cyclic $2\times 2$ game such as Matching Pennies. Between matching rounds, individuals sometimes change their strategy after observing a finite sample of other outcomes within their population. Individuals from the same population follow the same behavioral rule. In the resulting discrete time dynamics the unique Nash equilibrium is unstable. However, for sample sizes greater than one, we present an imitation rule where long run play cycles closely around the equilibrium.
Cadmus permanent link: http://hdl.handle.net/1814/4455
Full-text via DOI: 10.1007/s001910000049
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