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Rationalizable Information Equilibria

Author

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  • Alexander Zimper

    (Department of Economics, University of Pretoria, Pretoria, South Africa and Kiel Institute for the World Economy)

Abstract

Rational expectations equilibria (REE) assume that the ex post equilibrium price function is able to reveal ex ante information. This paper drops the assumption of information revealing prices and instead constructs an internal reasoning process through which highly rational price-takers can infer information from other market participants under the assumption that their utility maximization problems are common knowledge. Based on this reasoning process, we introduce the novel competitive equilibrium concept of rationalizable information equilibria (RIE). Our formal analysis establishes that (i) the RIE concept amounts to a refinement of the (generalized) REE concept whereby (ii) REE with interior net-trades are generically RIE.

Suggested Citation

  • Alexander Zimper, 2017. "Rationalizable Information Equilibria," Working Papers 201745, University of Pretoria, Department of Economics.
    • Handle: RePEc:pre:wpaper:201745
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    References listed on IDEAS

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    1. Battigalli, Pierpaolo & Bonanno, Giacomo, 1999. "Recent results on belief, knowledge and the epistemic foundations of game theory," Research in Economics, Elsevier, vol. 53(2), pages 149-225, June.
    2. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
    3. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    4. Allen, Beth E, 1981. "Generic Existence of Completely Revealing Equilibria for Economies with Uncertainty when Prices Convey Information," Econometrica, Econometric Society, vol. 49(5), pages 1173-1199, September.
    5. Albert S. Kyle, 1989. "Informed Speculation with Imperfect Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(3), pages 317-355.
    6. Moulin, Herve, 1984. "Dominance solvability and cournot stability," Mathematical Social Sciences, Elsevier, vol. 7(1), pages 83-102, February.
    7. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    8. Sanford J. Grossman, 1981. "An Introduction to the Theory of Rational Expectations Under Asymmetric Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(4), pages 541-559.
    9. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    10. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    11. Geanakoplos, John, 1990. "An introduction to general equilibrium with incomplete asset markets," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 1-38.
    12. Frank Heinemann, 1997. "Rationalizable expectations and sunspot equilibria in an overlapping-generations economy," Journal of Economics, Springer, vol. 65(3), pages 257-277, October.
    13. Sanford J. Grossman, 1977. "The Existence of Futures Markets, Noisy Rational Expectations and Informational Externalities," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 431-449.
    14. Zimper, Alexander, 2006. "Uniqueness conditions for strongly point-rationalizable solutions to games with metrizable strategy sets," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 729-751, September.
    15. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    16. Dybvig, Philip H. & Ross, Stephen A., 2003. "Arbitrage, state prices and portfolio theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 10, pages 605-637, Elsevier.
    17. Heraklis M. Polemarchakis, 1990. "Competitive Allocations when the Asset Market is Incomplete," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 15(1), pages 5-16, March.
    18. Beth Allen & James S. Jordan, 1998. "The existence of rational expectations equilibrium: a retrospective," Staff Report 252, Federal Reserve Bank of Minneapolis.
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    More about this item

    Keywords

    General Equilibrium; Asset Exchange Economies; Asymmetric Information; Rational Expectations; Generalized Rational Expectations; Rationalizability;
    All these keywords.

    JEL classification:

    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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