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Ex-post core, fine core and rational expectations equilibrium allocations

Anuj Bhowmik and Jiling Cao

Journal of Mathematical Economics, 2018, vol. 74, issue C, 128-138

Abstract: This paper investigates the (weak) ex-post core and its relationships to the fine core and the set of rational expectations equilibrium allocations in an oligopolistic economy with asymmetric information, in which the set of agents consists of some large agents and a continuum of small agents and the space of states of nature is a general probability space. We show that under appropriate assumptions, the (weak) ex-post core is not empty and contains the set of rational expectations equilibrium allocations. We provide an example of a pure exchange continuum economy with asymmetric information and infinitely many states of nature, in which the ex-post core does not coincide with the set of rational expectations equilibrium allocations. We also show that when our economic model contains either no large agents or at least two large agents with the same characteristics, the fine core is contained in the ex-post core.

Keywords: Asymmetric information; Aumann’s Core–Walras Equivalence Theorem; Ex-post core; Fine core; Pure exchange mixed economy; Rational expectations equilibrium (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:74:y:2018:i:c:p:128-138

DOI: 10.1016/j.jmateco.2017.12.001

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