Equilibria in a large production economy with an infinite dimensional commodity space and price dependent preferences

Hyo Seok Jang and Sangjik Lee

Journal of Mathematical Economics, 2020, vol. 90, issue C, 57-64

Abstract: We prove the existence of a competitive equilibrium in a production economy with infinitely many commodities and a measure space of agents whose preferences are price dependent. We employ a saturated measure space for the set of agents and apply recent results for an infinite dimensional separable Banach space such as Lyapunov’s convexity theorem and an exact Fatou’s lemma to obtain the result.

Keywords: Separable Banach space; Saturated measure space; Price dependent preferences; Lyapunov’s convexity theorem; Fatou’s lemma (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:90:y:2020:i:c:p:57-64

DOI: 10.1016/j.jmateco.2020.05.005

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