Competitive equilibrium for indivisible objects

Yi-You Yang

MPRA Paper from University Library of Munich, Germany

Abstract: We study an exchange economy with indivisible objects that may not be substitutes for each other, and we introduce the p-substitutability condition, a relaxation of the gross substitutes condition of Kelso and Crawford (1982), in which a parameter vector p is adopted to permit complicated types of complementarity. We prove that for any economy E, there exists a corresponding vector p^{E} such that the p^{E}-substitutability condition is sufficient to guarantee the existence of a competitive equilibrium, and that the largest competitive price of each object is equal to its contribution to the social welfare. Our approach relies on a classification result that partitions economies into disjoint similarity classes such that whenever a similarity class contains an economy with an equilibrium, each economy in this class also has an equilibrium.

Keywords: Indivisibility; equilibrium; gross substitutability; p-substitutability (search for similar items in EconPapers)
JEL-codes: D5 D51 (search for similar items in EconPapers)
Date: 2013-07-02, Revised 2014-07-28
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https://mpra.ub.uni-muenchen.de/57637/1/MPRA_paper_57637.pdf original version (application/pdf)
https://mpra.ub.uni-muenchen.de/58163/8/MPRA_paper_58163.pdf revised version (application/pdf)

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