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Indeterminacy of rational expectations equilibria in sequential financial markets

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Abstract

We provide a general characterisation of the structure of rational expectations equilibria of any degree of revelation for pure exchange, sequential economies, with finitely many states of private information, an incomplete financial market and nominal assets. We estimate the dimension of the rational expectations equilibria for any degree of revelation. Then, we show how a central bank, by deciding on the money supply, may affect the revelation of information at equilibrium. JEL Classification: D52; D80; D82; E52.

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Bibliographic Info

Paper provided by European Central Bank in its series Working Paper Series with number 262.

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Length: 46 pages
Date of creation: Sep 2003
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Handle: RePEc:ecb:ecbwps:20030262

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Keywords: Incomplete markets; indeterminacy; information revelation; monetary policy.;

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  1. Pietra, Tito & Siconolfi, Paolo, 1998. "Fully revealing equilibria in sequential economies with asset markets," Journal of Mathematical Economics, Elsevier, vol. 29(2), pages 211-223, March.
  2. James Tobin, 1956. "Liquidity Preference as Behavior Towards Risk," Cowles Foundation Discussion Papers 14, Cowles Foundation for Research in Economics, Yale University.
  3. John Geanakoplos & Andreu Mas-Colell, 1985. "Real Indeterminacy with Financial Assets," Cowles Foundation Discussion Papers 770R, Cowles Foundation for Research in Economics, Yale University, revised Oct 1985.
  4. Citanna, Alessandro & Villanacci, Antonio, 2000. "Existence and regularity of partially revealing rational expectations equilibrium in finite economies," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 1-26, August.
  5. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-92, May.
  6. Balasko, Yves & Cass, David, 1989. "The Structure of Financial Equilibrium with Exogenous Yields: The Case of Incomplete Markets," Econometrica, Econometric Society, vol. 57(1), pages 135-62, January.
  7. Rahi,Rohit, 1992. "Partially revealing rational expectations equilibria with nominal assets," Discussion Paper Serie A 387, University of Bonn, Germany.
  8. Roy Radner, 1997. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Levine's Working Paper Archive 1594, David K. Levine.
  9. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
  10. Cass, David, 2006. "Competitive equilibrium with incomplete financial markets," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 384-405, August.
  11. Stahn, Hubert, 2000. "A remark on rational expectation equilibria with incomplete markets and real assets," Journal of Mathematical Economics, Elsevier, vol. 33(4), pages 441-448, May.
  12. Polemarchakis, H M & Siconolfi, P, 1993. "Asset Markets and the Information Revealed by Prices," Economic Theory, Springer, vol. 3(4), pages 645-61, October.
  13. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-78, May.
  14. Polemarchakis, H. M. & Seccia, G., 2000. "A Role for Monetary Policy when Prices Reveal Information: An Example," Journal of Economic Theory, Elsevier, vol. 95(1), pages 107-115, November.
  15. Hirshleifer, Jack, 1971. "The Private and Social Value of Information and the Reward to Inventive Activity," American Economic Review, American Economic Association, vol. 61(4), pages 561-74, September.
  16. Werner, Jan, 1990. "Structure of financial markets and real indeterminacy of equilibria," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 217-232.
  17. Pietra, T., 1991. "The structure of the set of sunspot equilibria in economies with incomplete financial markets," CORE Discussion Papers 1991032, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  18. 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.
  19. K. Mischel & H.M. Polemarchakis & P. Siconolfi, 1989. "Noninformative Rational Expectations Equilibria When Assets are Nominal: An Example," Discussion Paper Serie A 260, University of Bonn, Germany.
  20. Pietra, Tito & Siconolfi, Paolo, 1996. "Equilibrium in Economies with Financial Markets: Uniqueness of Expectations and Indeterminacy," Journal of Economic Theory, Elsevier, vol. 71(1), pages 183-208, October.
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Cited by:
  1. Guido Ascari & Neil Rankin, 2004. "Perpetual youth and endogenous labour supply: a problem and a possible solution," Working Paper Series 346, European Central Bank.

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