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Arbitrage and equilibrium with portofolio constraints

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Abstract

We consider a multiperiod financial exchange economy with nominal assets and restricted participation, where each agent's portfolio choice is restricted to a closed, convex set containing zero, as in Siconolfi (1989). Using an approach that dates back to Cass (1984, 2006) in the unconstrained case, we seek to isolate arbitrage-free asset prices that are aloso quasi-equilibrium or equilibrium asset prices. In the presence of such portfolio restrictions, we need to confine our attention to aggregate arbitrage-free asset prices, i.e., for which there is no arbitrage in the space of marketed portfolios. Our main result states that such asset prices are quasi-equilibrium prices under standard assumptions and then deduce that they are equilibrium prices under a suitable condition on the accessibility of payoffs by agents, i.e., every payoff that is attainable in the aggregate can be marketed through some agent's portfolio set. This latter result extends previous work by Martins-da-Rocha and Triki (2005).

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Bibliographic Info

Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 09077.

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Length: 21 pages
Date of creation: Oct 2009
Date of revision:
Handle: RePEc:mse:cesdoc:09077

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Keywords: Stochastic financial exchange economies; incomplete markets; financial equilibrium; constrained portfolios; multiperiod models; arbitrage-free asset prices.;

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  1. Radner, Roy & Rothschild, Michael, 1975. "On the allocation of effort," Journal of Economic Theory, Elsevier, vol. 10(3), pages 358-376, June.
  2. Werner, Jan, 1985. "Equilibrium in economies with incomplete financial markets," Journal of Economic Theory, Elsevier, vol. 36(1), pages 110-119, June.
  3. Bernard Cornet & Lionel Boisdeffre, 2009. "Elimination of arbitrage states in asymmetric information models," Economic Theory, Springer, vol. 38(2), pages 287-293, February.
  4. Leonidas Koutsougeras & Konstantinos Papadopoulos, 2004. "Arbitrage and equilibrium in strategic security markets," Economic Theory, Springer, vol. 23(3), pages 553-568, March.
  5. Hirsch, M. D. & Magill, M. & Mas-Colell, A., 1990. "A geometric approach to a class of equilibrium existence theorems," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 95-106.
  6. Philippe Bich & Bernard Cornet, 2009. "Existence of pseudo-equilibria in a financial economy," Documents de travail du Centre d'Economie de la Sorbonne 09060, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  7. Laura Angeloni & Bernard Cornet, 2005. "Existence Of Financial Equilibria In A Multiperiod Stochastic Economy," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200506, University of Kansas, Department of Economics, revised Feb 2005.
  8. Zaier Aouani & Bernard Cornet, 2009. "Existence of financial equilibria with restricted participation," Working Papers 001-09, International School of Economics at TSU, Tbilisi, Republic of Georgia.
  9. Cass, David, 1992. "Sunspots and Incomplete Financial Markets: The General Case," Economic Theory, Springer, vol. 2(3), pages 341-58, July.
  10. Gottardi, Piero & Hens, Thorsten, 1996. "The Survival Assumption and Existence of Competitive Equilibria When Asset Markets are Incomplete," Journal of Economic Theory, Elsevier, vol. 71(2), pages 313-323, November.
  11. Polemarchakis, H M & Siconolfi, P, 1993. "Asset Markets and the Information Revealed by Prices," Economic Theory, Springer, vol. 3(4), pages 645-61, October.
  12. Geanakoplos, John & Shafer, Wayne, 1990. "Solving systems of simultaneous equations in economics," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 69-93.
  13. Hart, Oliver D., 1975. "On the optimality of equilibrium when the market structure is incomplete," Journal of Economic Theory, Elsevier, vol. 11(3), pages 418-443, December.
  14. Hens, Thorsten & Jean-Jacques Herings, P. & Predtetchinskii, Arkadi, 2006. "Limits to arbitrage when market participation is restricted," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 556-564, August.
  15. repec:hal:cesptp:halshs-00426399 is not listed on IDEAS
  16. Cass, David & Siconolfi, Paolo & Villanacci, Antonio, 2001. "Generic regularity of competitive equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 61-76, September.
  17. repec:hal:cesptp:halshs-00426441 is not listed on IDEAS
  18. Geanakoplos, John & Mas-Colell, Andreu, 1989. "Real indeterminacy with financial assets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 22-38, February.
  19. Cornet, Bernard & De Boisdeffre, Lionel, 2002. "Arbitrage and price revelation with asymmetric information and incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 38(4), pages 393-410, December.
  20. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614 Elsevier.
  21. Florig, Michael & Meddeb, Moncef, 2007. "Slack in incomplete markets with nominal assets: A symmetric proof," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 640-655, June.
  22. Gale, D. & Mas-Colell, A., 1975. "An equilibrium existence theorem for a general model without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(1), pages 9-15, March.
  23. Pradeep Dubey & John Geanakoplos, 2006. "Determinacy with nominal assets and outside money," Economic Theory, Springer, vol. 27(1), pages 79-106, 01.
  24. Helmut Elsinger & Martin Summer, 2001. "Arbitrage and Optimal Portfolio Choice with Financial Constraints," Working Papers 49, Oesterreichische Nationalbank (Austrian Central Bank).
  25. V.F. Martins-da-Rocha & L. Triki, 2005. "Equilibria in exchange economies with financial constraints: Beyond the Cass Trick," Microeconomics 0503013, EconWPA.
  26. Balasko, Yves & Cass, David, 1989. "The Structure of Financial Equilibrium with Exogenous Yields: The Case of Incomplete Markets," Econometrica, Econometric Society, vol. 57(1), pages 135-62, January.
  27. Cass, David, 2006. "Competitive equilibrium with incomplete financial markets," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 384-405, August.
  28. Duffie, Darrell, 1987. "Stochastic equilibria with incomplete financial markets," Journal of Economic Theory, Elsevier, vol. 41(2), pages 405-416, April.
  29. Carosi, Laura & Gori, Michele & Villanacci, Antonio, 2009. "Endogenous restricted participation in general financial equilibrium," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 787-806, December.
  30. Philippe Bich & Bernard Cornet, 2004. "Fixed-point-like theorems on subspaces," Cahiers de la Maison des Sciences Economiques b04064, Université Panthéon-Sorbonne (Paris 1).
  31. Husseini, S. Y. & Lasry, J. -M. & Magill, M. J. P., 1990. "Existence of equilibrium with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 39-67.
  32. repec:hal:cesptp:halshs-00441895 is not listed on IDEAS
  33. Abdelkrim Seghir & Leila Triki & Stella Kanellopoulou, 2004. "On the survival and irreducibility assumptions for financial markets with nominal assets," Cahiers de la Maison des Sciences Economiques b04008, Université Panthéon-Sorbonne (Paris 1).
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Citations

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Cited by:
  1. Aouani, Zaier & Cornet, Bernard, 2009. "Existence of financial equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 772-786, December.
  2. Cea-Echenique, Sebastián & Torres-Martínez, Juan Pablo, 2014. "General Equilibrium with Endogenous Trading Constraints," MPRA Paper 55359, University Library of Munich, Germany.
  3. Jean-Marc Bonnisseau & Achis Chery, 2013. "Tackling the instability of growth: A Kaleckian model with autonomous demand expenditures," Documents de travail du Centre d'Economie de la Sorbonne 13029, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  4. Seghir, Abdelkrim & Torres-Martínez, Juan Pablo, 2011. "On equilibrium existence with endogenous restricted financial participation," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 37-42, January.
  5. Aouani, Zaier & Cornet, Bernard, 2011. "Reduced equivalent form of a financial structure," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 318-327.
  6. Jean-Marc Bonnisseau & Achis Chery, 2013. "Stability of marketable payoffs with long-term assets," Documents de travail du Centre d'Economie de la Sorbonne 13078, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  7. Pérez Fernández, Víctor & Torres-Martínez, Juan Pablo, 2012. "Incomplete financial participation: exclusive markets, investment clubs and credit risk," MPRA Paper 36624, University Library of Munich, Germany.
  8. Miguel A. Iraola & Juan Pablo Torres-Martinez, 2013. "Liquidity Contractions, Incomplete Financial Participation and the Prevalence of Negative Equity Non-Recourse Loans," Working Papers 2013-08, University of Miami, Department of Economics.
  9. Jean-Marc Bonnisseau & Achis Chery, 2013. "Stability of marketable payoffs with long-term assets," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00917638, HAL.
  10. Sebastián Cea-Echenique & Carlos Hervés-Beloso & Juan Pablo Torres-Martínez, 2012. "Endogenous Information: The Role of Sequential Trade and Financial Participation," Working Papers wp361, University of Chile, Department of Economics.
  11. repec:hal:journl:halshs-00659183 is not listed on IDEAS
  12. Jean-Marc Bonnisseau & Achis Chery, 2013. "Sensitivity of marketable payoffs with long-term assets," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00821094, HAL.

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