Coordination and Continuous Stochastic Choice

Stephen Morris and Ming Yang

No 16495, CEPR Discussion Papers from Centre for Economic Policy Research

Abstract: Players receive a return to investment that is increasing in the proportion of others who invest and the state, and incur a small cost for acquiring information about the state. Their information is reflected in a stochastic choice rule, specifying the probability of a signal leading to investment. If discontinuous stochastic choice rules are infinitely costly, there is a unique equilibrium as costs become small, in which actions are a best response to a uniform (Laplacian) belief over the proportion of others investing. Infeasibility of discontinuous stochastic choice rules captures the idea that it is impossible to perfectly distinguish states that are arbitrarily close together and is both empirically documented and satisfied by many natural micro-founded cost functionals on information. Our results generalize global game selection results (Carlsson and van Damme (1993) and Morris and Shin (2003)), and establish that they do not depend on the specific additive noise information structure.

Keywords: Coordination; Endogenous information acquisition; Continuous stochastic choice (search for similar items in EconPapers)
JEL-codes: C72 D82 (search for similar items in EconPapers)
Date: 2021-08
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