Existence of pure-strategy equilibria in Bayesian games: a sharpened necessity result

M. Khan and Yongchao Zhang ()

International Journal of Game Theory, 2017, vol. 46, issue 1, No 9, 167-183

Abstract: Abstract In earlier work, the authors showed that a pure-strategy Bayesian-Nash equilibria in games with uncountable action sets and atomless private information spaces may not exist if the information space of each player is not saturated. This paper sharpens this result by exhibiting a failure of the existence claim for a game in which the information space of only one player is not saturated. The methodology that enables this extension of the necessity theory is novel relative to earlier work, and its conceptual underpinnings may have independent interest.

Keywords: Bayesian games; Pure-strategy Nash equilibrium (PSNE); Khan-Rath-Sun game (KRS game); Saturated probability spaces (search for similar items in EconPapers)
JEL-codes: C62 D50 D82 G13 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00182-016-0528-8

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