Journal
THEORY AND DECISION
Volume 69, Issue 2, Pages 167-182Publisher
SPRINGER
DOI: 10.1007/s11238-009-9190-y
Keywords
Evolution; Switching costs; Mixed-strategy equilibrium; Cycles; Stochastic stability
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Mixed-strategy equilibria are typically rather unstable in evolutionary game theory. Monocyclic games, such as Rock-Paper-Scissors, have only mixed equilibria, some of which are stable in the sense that sequential best replies lead to them; yet, even these games are prone to stable cycles under discrete-time simultaneous best replies, giving an unusual equilibrium-selection problem. This article analyzes such games in a random-utility setting where changing strategies is costly, and the speed of the dynamic is, thus, endogenous. The stochastically stable outcome is determined by the cost of switching strategies; when switching costs are high, mixed equilibria are selected, whereas when switching costs are low, cycles are selected.
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