GLOBAL GAMES WITH STRATEGIC SUBSTITUTES
Rodrigo Harrison, Pedro Jara‐Moroni
Abstract
Rodrigo Harrison, Pedro Jara‐Moroni
Abstract
Abstract We study global games with strategic substitutes. Specifically, for a class of binary‐action, ‐player games with strategic substitutes, we prove that under payoff asymmetry, as incomplete information vanishes, the global games approach selects a unique equilibrium. We characterize this equilibrium profile ; players employ switching strategies at different cutoff signals, the order of which is directly determined by payoff asymmetry. We provide examples that illustrate our result and its connection with dominance solvability. We extend the global game literature, which has thus far been developed for games with strategic complementarities, to new applications in industrial organization, collective action problems, finance, etc .
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Abstract We study global games with strategic substitutes. Specifically, for a class of binary‐action, ‐player games with strategic substitutes, we prove that under payoff asymmetry, as incomplete information vanishes, the global games approach selects a unique equilibrium. We characterize this equilibrium profile ; players employ switching strategies at different cutoff signals, the order of which is directly determined by payoff asymmetry. We provide examples that illustrate our result and its connection with dominance solvability. We extend the global game literature, which has thus far been developed for games with strategic complementarities, to new applications in industrial organization, collective action problems, finance, etc .
Key concepts: Strategic complements, Mathematical economics, Equilibrium selection, Global game, Class (philosophy), Dominance (genetics), Selection (genetic algorithm), Combinatorial game theory