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A Unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice

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Abstract

Social diversity is central to resource allocation. People trade because they are different. Gains from trade and the scope for mutually advantageous reallocation depend on the diversity of the traders’ preferences and endowments. The market owes its existence to the diversity of those who make up the economy.

July 1994, revised June 1995 and August 1996. The main results in this paper appeared in ‘Markets, Arbitrage and Social Choice’, a paper presented at the conference ‘Columbia Celebrates Arrow’s Contributions’, Columbia University, New York, 23 October 1991, Invaluable editorial comments and intellectual input from Kenneth Arrow, Walt Heller, Ted Groves, Morris Hirsch and Wayne Shafer are gratefully acknowledged. Research support was provided by National Science Foundation Grants SBR 92-16028 and OMS 94-08798, and by the Sloan Foundation Project on Information Technology and Productivity.

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Chichilnisky, G. (1997). A Unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice. In: Arrow, K.J., Sen, A., Suzumura, K. (eds) Social Choice Re-examined. International Economic Association Series. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-25849-9_10

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