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A Topological Invariant for Competitive Markets

Chichilnisky, Graciela

I summarize and extend my results establishing that limited arbitrage is necessary and sufficient for the existence of a competitive equilibrium and for the compactness of the Pareto frontier [11] (announced in [14] and [8]). In response to a comment [36], I show that the authors misunderstood my results by focusing on brief announcements [14] and [8] which did not detail the hypothesis, rather than on the publication which contains the proofs [11]. The original results are extended here to encompass "mixed economies" based on [16]. They are used to define a topological invariant for a competitive market, which encodes exact information on its equilibria and on its social diversity, and predicts a failure of 'effective' demand.

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Academic Units
Economics
Publisher
Department of Economics, Columbia University
Series
Department of Economics Discussion Papers, 9596-15
Published Here
March 2, 2011

Notes

April 1996