Arbitrage and existence of equilibrium in infinite asset markets
AbstractThis paper develops a framework for a general equilibrium analysis of asset markets when the number of assets is infinite. The authors show that an equilibrium exists if there is a price system under which no investor has an arbitrage opportunity. For the case of infinite asset markets, they introduce a concept of sequential arbitrage opportunity that is a sequence of portfolios which increases an investor's utility indefinitely and has zero price in the limit. The authors show that a sequential arbitrage opportunity and an arbitrage portfolio are equivalent concepts in finite markets but not in their infinite counterpart. Copyright 1995 by The Review of Economic Studies Limited.
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Bibliographic InfoPaper provided by University of Bonn, Germany in its series Discussion Paper Serie A with number 344.
Date of creation: Jun 1991
Date of revision:
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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
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General equilibrium; Asset markets; Exchange economy; Arbitrage-free economy;
Other versions of this item:
- Brown, Donald J & Werner, Jan, 1995. "Arbitrage and Existence of Equilibrium in Infinite Asset Markets," Review of Economic Studies, Wiley Blackwell, vol. 62(1), pages 101-14, January.
- Brown, D.J. & Werner, J., 1992. "Arbitrage and Existence of Equilibrium in Finite Asset Markets," Papers 43, Stanford - Institute for Thoretical Economics.
- Brown, Donald & Werner, Jan, 1993. "Arbitrage and Existence of Equilibrium in Infinite Asset Markets," Working Papers 825, California Institute of Technology, Division of the Humanities and Social Sciences.
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