The equilibrium set of infinite dimensional Walrasian economies and the natural projection

Elvio Accinelli

Journal of Mathematical Economics, 2013, vol. 49, issue 6, 435-440

Abstract: The natural projection plays a fundamental role to understand the behavior of the Walrasian economies. In this paper, we extend this method to analyze the behavior of infinite dimensional economies. We introduce the definition of the social equilibrium set, and we show that there exists a bijection between this set and the Walrasian equilibrium set of an infinite dimensional economy. In order to describe the main topological characteristics of both sets, we analyze the main differential characteristics of the excess utility function and then, we extend the method of the natural projection as suggested by Y. Balasko.

Keywords: Natural projection; Infinite dimensional economies (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:49:y:2013:i:6:p:435-440

DOI: 10.1016/j.jmateco.2013.08.005

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