Theoretical Economics 9 (2014), 409–434
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Asynchronicity and coordination in common and opposing interest games
Riccardo Calcagno, Yuichiro Kamada, Stefano Lovo, Takuo Sugaya
Abstract
We study games endowed with a pre-play phase in which players prepare the
actions that will be implemented at a predetermined deadline. In the
preparation phase, each player stochastically receives opportunities to
revise her actions, and the finally-revised action is taken at the deadline.
In 2-player \textquotedblleft common interest" games, where there exists a
best action profile for all players, this best action profile is the only
equilibrium outcome of the dynamic game. In \textquotedblleft opposing
interest" games, which are $2\times 2$ games with Pareto-unranked strict
Nash equilibria, the equilibrium outcome of the dynamic game is generically
unique and corresponds to one of the stage-game strict Nash equilibria. Which
equilibrium prevails depends on the payoff structure and on the relative
frequency of the arrivals of revision opportunities for each of the players.
Keywords: Revision games, pre-opening, finite horizon, equilibrium selection, asynchronous moves
JEL classification: C72, C73
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