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Existence of equilibrium for an abstract economy with private information and a countable space of actions. (English) Zbl 1389.91062
Summary: We define the model of an abstract economy with private information and a countable set of actions. We generalize Yu and Zhang’s model [H. Yu and Z. Zhang, J. Math. Econ. 43, No. 2, 192–200 (2007; Zbl 1280.91037)], considering that each agent is characterised by a preference correspondence instead of having an utility function. We establish two different equilibrium existence results.

MSC:
91B50 General equilibrium theory
91A10 Noncooperative games
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