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Multiplicity in general financial equilibrium with portfolio constraints

  • Basak, Suleyman
  • Cass, David
  • Licari, Juan Manuel
  • Pavlova, Anna

This paper explores the role of portfolio constraints in generating multiplicity of equilibrium. We present a simple financial market economy with two goods and two households, households who face constraints on their ability to take unbounded positions in risky stocks. Absent such constraints, equilibrium allocation is unique and is Pareto efficient. With one portfolio constraint in place, the efficient equilibrium is still possible; however, additional inefficient equilibria in which the constraint is binding may emerge. We show further that with portfolio constraints cum incomplete markets, there may be a continuum of equilibria; adding incomplete markets may lead to real indeterminacy.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 142 (2008)
Issue (Month): 1 (September)
Pages: 100-127

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Handle: RePEc:eee:jetheo:v:142:y:2008:i:1:p:100-127
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  1. Gadi Barlevy & Pietro Veronesi, 2000. "Rational Panics and Stock Market Crashes," CRSP working papers 483, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  2. Gennotte, Gerard & Leland, Hayne, 1990. "Market Liquidity, Hedging, and Crashes," American Economic Review, American Economic Association, vol. 80(5), pages 999-1021, December.
  3. Cass, David & Pavlova, Anna, 2004. "On trees and logs," Journal of Economic Theory, Elsevier, vol. 116(1), pages 41-83, May.
  4. 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.
  5. Geanakoplos, J. & Magill, M. & Quinzii, M. & Dreze, J., 1990. "Generic inefficiency of stock market equilibrium when markets are incomplete," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 113-151.
  6. Peter M. Demarzo & Ron Kaniel & Ilan Kremer, 2004. "Diversification as a Public Good: Community Effects in Portfolio Choice," Journal of Finance, American Finance Association, vol. 59(4), pages 1677-1716, 08.
  7. 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.
  8. 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.
  9. Pavlova, Anna & Rigobon, Roberto, 2005. "Wealth Transfers, Contagion and Portfolio Constraints," CEPR Discussion Papers 5117, C.E.P.R. Discussion Papers.
  10. Harrison Hong & Jeremy C. Stein, 2003. "Differences of Opinion, Short-Sales Constraints, and Market Crashes," Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 487-525.
  11. Detemple, Jerome & Murthy, Shashidhar, 1997. "Equilibrium Asset Prices and No-Arbitrage with Portfolio Constraints," Review of Financial Studies, Society for Financial Studies, vol. 10(4), pages 1133-74.
  12. Jérôme B. Detemple & Shashidhar Murthy, 1997. "Equilibrium Asset Prices and No-Arbitrage with Portfolio Constraints," CIRANO Working Papers 97s-12, CIRANO.
  13. Basak, Suleyman & Cuoco, Domenico, 1998. "An Equilibrium Model with Restricted Stock Market Participation," Review of Financial Studies, Society for Financial Studies, vol. 11(2), pages 309-41.
  14. Jérôme Detemple & Angel Serrat, 2003. "Dynamic Equilibrium with Liquidity Constraints," Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 597-629.
  15. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  16. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
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