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Multiplicity in General Financial Equilibrium with Portfolio Constraints, Second Version

Author

Listed:
  • Suleyman Basak

    () (London Business School and CEPR, Institute of Finance and Accounting)

  • David Cass

    () (Department of Economics, University of Pennsylvania)

  • Juan Manuel Licari

    () (Department of Economics, University of Pennsylvania)

  • Anna Pavlova

    () (London Business School and CEPR, Institute of Finance and Accounting)

Abstract

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.

Suggested Citation

  • Suleyman Basak & David Cass & Juan Manuel Licari & Anna Pavlova, 2006. "Multiplicity in General Financial Equilibrium with Portfolio Constraints, Second Version," PIER Working Paper Archive 06-020, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 17 Jul 2006.
  • Handle: RePEc:pen:papers:06-020
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    File URL: http://economics.sas.upenn.edu/system/files/working-papers/06-020.pdf
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    References listed on IDEAS

    as
    1. 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 309-341.
    2. 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.
    3. 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.
    4. 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, August.
    5. Cass, David & Pavlova, Anna, 2004. "On trees and logs," Journal of Economic Theory, Elsevier, vol. 116(1), pages 41-83, May.
    6. Barlevy, Gadi & Veronesi, Pietro, 2003. "Rational panics and stock market crashes," Journal of Economic Theory, Elsevier, vol. 110(2), pages 234-263, June.
    7. Pavlova, Anna & Rigobon, Roberto, 2005. "Wealth Transfers, Contagion and Portfolio Constraints," CEPR Discussion Papers 5117, C.E.P.R. Discussion Papers.
    8. Gennotte, Gerard & Leland, Hayne, 1990. "Market Liquidity, Hedging, and Crashes," American Economic Review, American Economic Association, vol. 80(5), pages 999-1021, December.
    9. Jérôme B. Detemple & Shashidhar Murthy, 1997. "Equilibrium Asset Prices and No-Arbitrage with Portfolio Constraints," CIRANO Working Papers 97s-12, CIRANO.
    10. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    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 1133-1174.
    12. Jérôme Detemple & Angel Serrat, 2003. "Dynamic Equilibrium with Liquidity Constraints," Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 597-629.
    13. 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.
    14. 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.
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    More about this item

    Keywords

    Multiple equilibria; asset pricing; portfolio constraints; indeterminacy; financial equilibrium;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

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