Market failures and equilibria in Banach lattices

Jean-Marc Bonnisseau and Matías Fuentes
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Matías Fuentes: UNSAM - Universidad Nacional de San Martin, Centro de Investigacion en Economia Teorica y Matematica Aplicada EEyN - UNSAM - Universidad Nacional de San Martin

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: In this paper, we consider an economy with infinitely many commodities and market failures such as increasing returns to scale and external effects or other regarding preferences. The commodity space is a Banach lattice possibly without interior points in the positive cone in order to include most of the relevant spaces in economics. We propose a new definition of the marginal pricing rule through a new tangent cone to the production set at a point of its (non-smooth)-boundary. The major contribution is the unification of many previous works with convex or non-convex production sets, smooth or non-smooth, for the competitive equilibria or for the marginal pricing equilibria, with or without external effects, in finite dimensional spaces as well as in infinite dimensional spaces. In order to prove the existence of a marginal pricing equilibria, we also provide a new properness condition on technologies.

Keywords: Marginal pricing rule; Banach lattices; Market failures; Properness; General equilibrium; Tarification marginale; lattices de Banach; imperfections de marché; propreté; équilibre général (search for similar items in EconPapers)
Date: 2024-08
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01960874v2
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Published in 2024

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Related works:
Working Paper: Market failures and equilibria in Banach lattices (2024)
Working Paper: Market failures and equilibria in Banach lattices (2018)
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