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Equilibria for Pure Exchange Infinite Economies in the Sense of Incomplete Preference

Jinqing Zhang
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Jinqing Zhang: Institute for Financial Studies, Fudan University

Annals of Economics and Finance, 2003, vol. 4, issue 2, 359-373

Abstract: In this paper, we introduce a new concept of incomplete preference and cover the known ordering relations such preferences as in economics and semiorder in mathematics. In the sense of the incomplete preference, we obtain a principle of maximal consumption allocations, by which, for a pure exchange economy with infinitely many commodities and infinitely countable agents, we first prove the existence of a quasi-equilibrium, and then conclude that such a quasi-equilibrium can be extended to a general equilibrium of this economy if incomplete preferences are proper in a suitable way.

Keywords: Incomplete preferences; Infinite economies; Maximal consumption allocations; Equilibria (search for similar items in EconPapers)
JEL-codes: C78 D44 D71 (search for similar items in EconPapers)
Date: 2003
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