Back to Fundamentals: Equilibrium in Abstract Economies

Michael Richter and Ariel Rubinstein ()

No 275833, Foerder Institute for Economic Research Working Papers from Tel-Aviv University > Foerder Institute for Economic Research

Abstract: We propose a new abstract definition of equilibrium in the spirit of competitive equilibrium: a profile of alternatives and a public ordering (expressing prestige, price or a social norm), such that each agent prefers his assigned alternative to all lower-ranked ones. The equilibrium operates in an abstract setting built upon a concept of convexity borrowed from Convex Geometry. We apply the concept to a variety of convex economies and relate it to Pareto optimality. The "magic" of linear equilibrium prices is put into perspective by establishing an analogy between linear functions in the standard convexity and "primitive orderings" in the abstract convexity.

Keywords: Financial Economics; Research Methods/ Statistical Methods (search for similar items in EconPapers)
Pages: 31
Date: 2015
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Citations: View citations in EconPapers (27)

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Persistent link: https://EconPapers.repec.org/RePEc:ags:isfiwp:275833

DOI: 10.22004/ag.econ.275833

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