Abstract
We have a Bayesian approach for an equilibrium problem in abstract economies of the Yannelis–Prabhakar type. We consider an economy with a countable or uncountable set of agents, with private information defined by subalgebras as per Yannelis [Yannelis, A Bayesian equilibrium existence theorem, Adv. Math. Econ. 4 (2002), pp. 61–72] and the preferences defined by correspondences. We prove an existence equilibrium results which extends the known results, as Yannelis and Prabhakar theorise in [Yannelis and Prabhakar, Existence of maximal elements and equilibrium in linear topological spaces, J. Math. Econom. 12 (1983), pp. 233–245].
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