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

Hyo Seok Jang; Sangjik Lee

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arXiv · 1904.07444

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

Hyo Seok Jang·Sangjik Lee

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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.

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Hyo Seok Jang, Sangjik Lee. 2019-04-16. Equilibria in a large production economy with an infinite dimensional commodity space and price dependent preferences. https://arxiv.org/abs/1904.07444

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