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Coordination Failure in Repeated Games with Private Monitoring

Takuo Sugaya and Satoru Takahashi
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Takuo Sugaya: Princeton University

No 1325, Working Papers from Princeton University, Department of Economics, Econometric Research Program.

Abstract: Players coordinate continuation play in repeated games with public monitoring. This paper asks the robustness of such equilibrium play with respect to privatemonitoring perturbations that are ex-ante close to the public-monitoring structure. We show that, in two-player games with full support of public signals, no perfect public equilibrium is robust to private-monitoring perturbations under a regularity condition. This non-robustness result does not apply to belief-free equilibria, which violate the regularity condition. Indeed, we show that, in two-player games with an individual rank condition on public signals, every interior belief-free equilibrium is robust to private-monitoring perturbations. We also argue by means of an example that the non-robustness result is sensitive to the assumption that every private signal must be interpreted as some public signal with probability 1, and not with probability close to 1.

Keywords: equilibrium selection; supermodular game; incomplete information; robustness; contagion; global game (search for similar items in EconPapers)
JEL-codes: C72 D82 (search for similar items in EconPapers)
Date: 2011-05
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Journal Article: Coordination failure in repeated games with private monitoring (2013) Downloads
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