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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. L. Wade, 1988. "Review," Public Choice, Springer, vol. 58(1), pages 99-100, July.
  2. 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.
  3. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-81, September.
  4. Levine, David K. & Zame, William R., 1996. "Debt constraints and equilibrium in infinite horizon economies with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 103-131.
  5. Magill, Michael & Quinzii, Martine, 1994. "Infinite Horizon Incomplete Markets," Econometrica, Econometric Society, vol. 62(4), pages 853-80, July.
  6. 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.
  7. 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.
  8. Luigi Montrucchio & Fabio Privileggi, 2001. "On Fragility of Bubbles in Equilibrium Asset Pricing Models of Lucas-Type," ICER Working Papers - Applied Mathematics Series 05-2001, ICER - International Centre for Economic Research.
  9. 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.
  10. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
  11. Aliprantis, Charalambos D & Brown, Donald J & Burkinshaw, Owen, 1987. "Edgeworth Equilibria," Econometrica, Econometric Society, vol. 55(5), pages 1109-37, September.
  12. 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.
  13. 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. 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.
  3. G. Bloise & J.H. Dreze & H.M. Polemarchakis, 2002. "Money and Indeterminacy Over an Infinite Horizon," Working Papers 2002-12, Brown University, Department of Economics.

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