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

2019/04/15 by Hyo Seok Jang, Jang, Hyo Seok, Sangjik Lee +1 · 1 citation
Economics, Econometrics and Finance · Mathematics · #Economic theories and models #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1904.07444

Abstract

We prove the existence of a competitive equilibrium in a production economy\nwith infinitely many commodities and a measure space of agents whose\npreferences are price dependent. We employ a saturated measure space for the\nset of agents and apply recent results for an infinite dimensional separable\nBanach space such as Lyapunov's convexity theorem and an exact Fatou's lemma to\nobtain the result.\n

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