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Seoul Journal of Economics - Vol. 14 , No. 2
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Seoul Journal of Economics - Vol. 14, No. 2, pp. 127-152
Abbreviation: SJE
ISSN: 1225-0279 (Print)
Print publication date 31 May 2001
Received 19 Jun 2001 Revised 18 Jan 2002

Competitive Equilibrium with Non-Concavifiable Preferences
Dongchul Won
Department of Industrial Information, Kongju National University, 527 Yesan, Choongnam, 340-800, South Korea, Tel: +82-41-331-0630, Fax: +82-41-332-2485 (dcwon@kongju.ac.kr)

JEL Classification : D5O, D5l, C62

Abstract

The no free lunch condition is neither necessary nor sufficient for the utility set to be closed and bounded in asset markets where the preferred sets do not have the same recession cone. This paper characterizes the utility set with non-concavifiable preferences and provides the existence of competitive equilibrium when the set of efficient allocations is not necessarily bounded.

Keywords: Competitive equilibrium, No free lunch, Non-concavifiable preferences
Acknowledgments

This paper is a substantial revision of the paper presented at the Econometric Society's 7th World Congress in Tokyo on August 1995. The author is grateful to two anonymous referees for valuable remarks and suggestions.

References
1. Brown, D., and Wernor J. “Arbitrage and Existence of Equilibrium in Infinite Asset Markets.” Review of Economic Studies 62 (1995): 101-14.
2. Conner, G. “A Unified Beta Pricing Theory.” Journal of Economic Theory 34 (1984): 13-31.
3. Dana, R. A., Le Van, C., and Magnien F. “On the Different Notion of Arbitrage and Existence of Equilibrium.” Journal of Economic Theory 87 (1999): 169-93.
4. Hart, O. D. “On the Existence of Equilibrium in a Securities Model.” Journal of Economic Theory 9 (1974): 293-311.
5. Luenberger, D, G. Microeconomic Theory. New York: McGraw-Hill, 1995.
6. Magill, M. “An Equilibrium Existence Theorem.” Journal of Mathematic Analysis and Applications 84 (1981): 162-9.
7. Malinvaud, E. Lectures on Microeconomic Theory. Amsterdam: North- Holland, 1985.
8. Mas-Colell, A. “The Price Equilibrium Existence Problem in Topological Vector Lattices.” Econometrica 54 (1986): 1039-53.
9. Milne, F. “Arbitrage and Diversification in a General Equilibrium Asset Economy.” Econometrica 56 (1988): 815-40.
10. Moore, J. “The Existence of Compensated Equilibrium and the Structure of the Pareto Efficiency Frontier.” International Economic Review 16 (1975): 267-300.
11. Negishi, T. “Welfare Economics and Existence of an Equilibrium for a Competitive Economy.” Metroeconomica 12 (1960): 92-7.
12. Nielsen, L. T. “Asset Market Equilibrium with Short-Selling.” Review of Economic Studies 56 (1989): 467-74.
13. Page, F. H. Jr., and Wooders, M. H. “A Necessary and Sufficient Condition for Compactness of Individually Rational and Feasible Outcomes and the Existence of an Equilibrium.” Economics Letters 52 (1996): 153-62.
14. Page, F. H. Jr., Wooders, M. H., and Monteiro, P. K. “Inconsequential Arbitrage.” Journal of Mathematical Economics 34 (2000): 439-69.
15. Rockafellar, R. T. Convex Analysis. Princeton. N. J.: Princeton University Press, 1970.
16. Ross, S. A. “A Simple Approach to the Valuation of Risky Stream.” Journal of Business 51 (1978): 453-75.
17. Werner, J. “Arbitrage and the Existence of Competitive Equilibrium.” Econometrica 55 (1987): 1403-18.
 

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