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A topological invariant for competitive markets

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  • Chichilnisky, Graciela

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  • Chichilnisky, Graciela, 1997. "A topological invariant for competitive markets," Journal of Mathematical Economics, Elsevier, vol. 28(4), pages 445-469, November.
    • Handle: RePEc:eee:mateco:v:28:y:1997:i:4:p:445-469
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    1. Chichilnisky, G. & Heal, G.M., 1992. "Arbitrage and Equilibrium in Economies with Infinitely Many Securities and Commodities," Papers 92-29, Columbia - Graduate School of Business.
    2. Chichilnisky, Graciela, 1995. "Limited Arbitrage Is Necessary and Sufficient for the Existence of a Competitive Equilibrium with or without Short Sales," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 79-108, January.
    3. Chichilnisky, G., 1993. "Intersecting Families of Sets and the Topology of Cones in Economics," Papers 93-17, Columbia - Graduate School of Business.
    4. Graciela Chichilnisky, 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," International Economic Association Series, in: Kenneth J. Arrow & Amartya Sen & Kotaro Suzumura (ed.), Social Choice Re-examined, chapter 6, pages 121-174, Palgrave Macmillan.
    5. Lars Tyge Nielsen, 1989. "Asset Market Equilibrium with Short-Selling," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(3), pages 467-473.
    6. Graciela Chichilnisky, 1996. "Markets And Games: A Simple Equivalence Among The Core, Equilibrium And Limited Arbitrage," Metroeconomica, Wiley Blackwell, vol. 47(3), pages 266-280, October.
    7. Chichilnisky, G., 1992. "Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium," Papers 93-14, Columbia - Graduate School of Business.
    8. Chichilnisky, Graciela, 1986. "Topological complexity of manifolds of preferences," MPRA Paper 8119, University Library of Munich, Germany.
    9. Werner, Jan, 1987. "Arbitrage and the Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1403-1418, November.
    10. Chichilnisky Graciela & Heal Geoffrey M., 1993. "Competitive Equilibrium in Sobolev Spaces without Bounds on Short Sales," Journal of Economic Theory, Elsevier, vol. 59(2), pages 364-384, April.
    11. Hart, Oliver D., 1974. "On the existence of equilibrium in a securities model," Journal of Economic Theory, Elsevier, vol. 9(3), pages 293-311, November.
    12. Chichilnisky, G, 1996. "Limited Arbitrage and Uniqueness of Equilibrium in Stricly Regular Economies," Papers 96-17, Columbia - Graduate School of Business.
    13. Hammond, Peter J., 1983. "Overlapping expectations and Hart's conditions for equilibrium in a securities model," Journal of Economic Theory, Elsevier, vol. 31(1), pages 170-175, October.
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    Cited by:

    1. Le Van, Cuong & Truong Xuan, Duc Ha, 2001. "Asset market equilibrium in Lp spaces with separable utilities," Journal of Mathematical Economics, Elsevier, vol. 36(3), pages 241-254, December.
    2. Dana, Rose-Anne & Le Van, Cuong & Magnien, Francois, 1999. "On the Different Notions of Arbitrage and Existence of Equilibrium," Journal of Economic Theory, Elsevier, vol. 87(1), pages 169-193, July.
    3. Graciela Chichilnisky, 1998. "The knowledge revolution," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 7(1), pages 39-54.
    4. PageJr., Frank H. & Wooders, Myrna H. & Monteiro, Paulo K., 2000. "Inconsequential arbitrage," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 439-469, December.
    5. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, September.
    6. Norman Schofield, 2013. "The “probability of a fit choice”," Review of Economic Design, Springer;Society for Economic Design, vol. 17(2), pages 129-150, June.
    7. Thai Ha-Huy & Cuong Le Van & Myrna Wooders, 2024. "Existence of Equilibrium in Finite Dimensional Asset Markets," Working Papers hal-04131008, HAL.
    8. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.

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