This paper rehabilitates a program initiated in Aumann (1974) by contributing a result to the theory of finite-player Bayesian games in environments that explicitly include correlated information. An equivalence theorem offers conditions under which the set of mixed-strategy equilibrium payoffs in a classical finite-action game of complete information coincides with the set of objective pure-strategy Nash equilibrium (PSNE) expected payoffs in an affiliated Bayesian game with type-independent payoffs. This result is motivated for a non-specialist reader by several examples. An Appendix devoted to an intuitive discussion of the so-called 'Lebesgue extension' is added to make the paper self-contained. (C) 2017 Elsevier Inc. All rights reserved.
机构:
Capital Univ Econ & Business, Int Sch Econ & Management, Beijing 100070, Peoples R ChinaCapital Univ Econ & Business, Int Sch Econ & Management, Beijing 100070, Peoples R China