The extended notion of pure exchange economy under uncertainty, called an economy with awareness structure, is presented, where each trader having strictly monotone preferences makes decision under his/her awareness and belief. We show an extension of the core equivalence theorem: The ex-post core coincides with the set of all generalized expectations equilibria in awareness for the economy.
In this paper we investigate equilibriums in the Bayesian routing problem of the network game introduced by Koutsoupias and Papadimitriou [LNCS 1563, pp.404-413. Springer (1999)]. We treat epistemic conditions for Nash equilibrium of social cost function in the network game. It highlights the role of common-knowledge on the users' individual conjectures on the others' selections of channels in the network game.Especially two notions of equilibria are presented in the Bayesian extension of the...
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