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Reduced equivalent form of a financial structure

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  • Aouani, Zaier
  • Cornet, Bernard

Abstract

We consider the two-date model of a financial exchange economy (E,F), with agents’ portfolio restrictions either represented by finitely many linear inequality constraints or satisfying Hart’s (1974) Weak No Market Arbitrage condition. The economy (E,F) is shown to have the same consumption equilibria as a reduced economy (E,F′), for which the set of admissible portfolio allocations is bounded. Building upon the equilibrium existence result for reduced financial economies (E,F′) (Aouani and Cornet, 2009), we then deduce the existence of equilibra of (E,F), under standard assumptions on the consumption side and under the aforementioned assumption on the financial side.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 47 (2011)
Issue (Month): 3 ()
Pages: 318-327

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Handle: RePEc:eee:mateco:v:47:y:2011:i:3:p:318-327

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Web page: http://www.elsevier.com/locate/jmateco

Related research

Keywords: Restricted participation; Portfolio constraints; Financial exchange economy; Reduced financial structure; Equivalent financial structure; Arbitrage-free prices; Consumption equilibrium;

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References

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  1. Helmut Elsinger & Martin Summer, 2001. "Arbitrage and Optimal Portfolio Choice with Financial Constraints," Working Papers 49, Oesterreichische Nationalbank (Austrian Central Bank).
  2. 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.
  3. Duffie, Darrell & Shafer, Wayne, 1985. "Equilibrium in incomplete markets: I : A basic model of generic existence," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 285-300, June.
  4. Polemarchakis, H. M. & Siconolfi, P., 1997. "Generic existence of competitive equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 28(3), pages 289-311, October.
  5. repec:hal:cesptp:halshs-00441873 is not listed on IDEAS
  6. Cass, David, 2006. "Competitive equilibrium with incomplete financial markets," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 384-405, August.
  7. Duffie, Darrell & Shafer, Wayne, 1986. "Equilibrium in incomplete markets: II : Generic existence in stochastic economies," Journal of Mathematical Economics, Elsevier, vol. 15(3), pages 199-216, June.
  8. Bernard Cornet & Ramu Gopalan, 2009. "Arbitrage and equilibrium with portofolio constraints," Documents de travail du Centre d'Economie de la Sorbonne 09077, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  9. 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.
  10. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
  11. Duffie, Darrell, 1987. "Stochastic equilibria with incomplete financial markets," Journal of Economic Theory, Elsevier, vol. 41(2), pages 405-416, April.
  12. 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.
  13. 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.
  14. Geanakoplos, John & Shafer, Wayne, 1990. "Solving systems of simultaneous equations in economics," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 69-93.
  15. Philippe Bich & Bernard Cornet, 2004. "Fixed-point-like theorems on subspaces," Cahiers de la Maison des Sciences Economiques b04064, Université Panthéon-Sorbonne (Paris 1).
  16. Balasko, Yves & Cass, David & Siconolfi, Paolo, 1990. "The structure of financial equilibrium with exogenous yields : The case of restricted participation," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 195-216.
  17. repec:hal:cesptp:halshs-00426399 is not listed on IDEAS
  18. Bernard Cornet & Philippe Bich, 2009. "Existence of pseudo-equilibria in a financial economy," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200910, University of Kansas, Department of Economics, revised Dec 2009.
  19. 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.
  20. Werner, Jan, 1985. "Equilibrium in economies with incomplete financial markets," Journal of Economic Theory, Elsevier, vol. 36(1), pages 110-119, June.
  21. 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.
  22. 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.
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Citations

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Cited by:
  1. Bernard Cornet & Zaier Aouani, 2009. "Existence of financial equilibria with restricted participation," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200909, University of Kansas, Department of Economics, revised Dec 2009.
  2. 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.
  3. Víctor Pérez Fernández & Juan Pablo Torres-Martínez, 2012. "Incomplete Financial Participation: Exclusive Markets, Investment Clubs, and Credit Risk," Working Papers wp363, University of Chile, Department of Economics.
  4. 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.
  5. Cea-Echenique, Sebastián & Torres-Martínez, Juan Pablo, 2014. "General Equilibrium with Endogenous Trading Constraints," MPRA Paper 55359, University Library of Munich, Germany.

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