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Implementing Arrow-Debreu Equilibria by Trading Infinitely-Lived Securities

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  • Kevin X. D. Huang

    (University of Utah)

  • Jan Werner

    (University of Minnesota)

Abstract

We study the question of implementing Arrow-Debreu equilibrium allocations in infinite-time economy under uncertainty by sequential trading of infinitely-lived securities. The crucial aspect of implementation is the choice of feasibility constraints on agents' portfolio strategies. The main difficulty lies in the possibility of price bubbles in security markets. We derive an exact relation between Arrow-Debreu equilibrium allocations and sequential equilibrium allocations in security markets under two portfolio feasibility constraints: the wealth constraint, and the bounded borrowing constraint. We show that sequential equilibria with price bubbles correspond to Arrow-Debreu equilibria with income transfers.

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Bibliographic Info

Paper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 1708.

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Date of creation: 01 Aug 2000
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Handle: RePEc:ecm:wc2000:1708

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  1. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-81, September.
  2. Magill, Michael & Quinzii, Martine, 1994. "Infinite Horizon Incomplete Markets," Econometrica, Econometric Society, vol. 62(4), pages 853-80, July.
  3. Montrucchio, Luigi & Privileggi, Fabio, 2001. "On Fragility of Bubbles in Equilibrium Asset Pricing Models of Lucas-Type," Journal of Economic Theory, Elsevier, vol. 101(1), pages 158-188, November.
  4. David K. Levine & William R. Zame, 1993. "Debt Constraints and Equilibrium in Infinite Horizon Economies with Incomplete Markets," UCLA Economics Working Papers 703, UCLA Department of Economics.
  5. Magill, Michael & Quinzii, Martine, 1996. "Incomplete markets over an infinite horizon: Long-lived securities and speculative bubbles," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 133-170.
  6. Peleg, Bezalel & Yaari, Menahem E, 1970. "Markets with Countably Many Commodities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 11(3), pages 369-77, October.
  7. Kocherlakota, N.R., 1990. "Bubbles and Constraints on Debt Accumulation," Working Papers 90-29, University of Iowa, Department of Economics.
  8. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
  9. Manuel S. Santos & Michael Woodford, 1993. "Rational Asset Pricing Bubbles," Working Papers 9304, Centro de Investigacion Economica, ITAM.
  10. Monique Florenzano & Pascal Gourdel, 1996. "Incomplete Markets In Infinite Horizon: Debt Constraints Versus Node Prices," Mathematical Finance, Wiley Blackwell, vol. 6(2), pages 167-196.
  11. Duffie, J Darrell & Huang, Chi-fu, 1985. "Implementing Arrow-Debreu Equilibria by Continuous Trading of Few Long-lived Securities," Econometrica, Econometric Society, vol. 53(6), pages 1337-56, November.
  12. Donald J. Brown & Charalambos Aliprantis & Owen Burkinshaw, 1985. "Edgeworth Equilibria," Cowles Foundation Discussion Papers 756R, Cowles Foundation for Research in Economics, Yale University.
    • Aliprantis, Charalambos D & Brown, Donald J & Burkinshaw, Owen, 1987. "Edgeworth Equilibria," Econometrica, Econometric Society, vol. 55(5), pages 1109-37, September.
  13. L. Wade, 1988. "Review," Public Choice, Springer, vol. 58(1), pages 99-100, July.
  14. Kandori, Michihiro, 1988. "Equivalent Equilibria," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(3), pages 401-17, August.
  15. Kevin X.D. Huang & Jan Werner, 2000. "Asset price bubbles in Arrow-Debreu and sequential equilibrium," Economic Theory, Springer, vol. 15(2), pages 253-278.
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Cited by:
  1. Marco Bassetto & Thomas J Sargent, 2006. "Politics and Efficiency of Separating Capital and Ordinary Government Budgets," The Quarterly Journal of Economics, MIT Press, vol. 121(4), pages 1167-1210, November.
  2. BLOISE, Gaetano & DRÈZE, Jacques & POLEMARCHAKIS, Heracles, 2002. "Money and indeterminacy over an infinite horizon," CORE Discussion Papers 2002021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Patarick Leoni, 2006. "Market Power, Survival and Accuracy of Predictions in Financial Markets," Economics, Finance and Accounting Department Working Paper Series n1701106, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.

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