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Functional rational expectations equilibria in market games

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  • Jamsheed Shorish

Abstract

The rational expectations equilibrium has been criticized as an equilibrium concept in market game environments. Such an equilibrium may not exist generically, or it may introduce unrealistic assumptions about an economic agent's knowledge or computational ability. We define a rational expectations equilibrium as a probability measure over uncertain states of nature which exploits all available information in a market game, and which exists for almost all economies. Furthermore, if retrading is allowed, it is possible for agents to compute such a 'functional rational expectations equilibrium' using straightforward numerical fixed point algorithms.
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  • Jamsheed Shorish, 2010. "Functional rational expectations equilibria in market games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(3), pages 351-376, June.
    • Handle: RePEc:spr:joecth:v:43:y:2010:i:3:p:351-376
    DOI: 10.1007/s00199-009-0451-3
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    1. James Peck & Matthew O. Jackson, 1999. "Asymmetric information in a competitive market game: Reexamining the implications of rational expectations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(3), pages 603-628.
    2. M. Shubik & N.J. Vriend, 1998. "A Behavioral Approach to a Strategic Market Game," Working Papers 395, Queen Mary University of London, School of Economics and Finance.
    3. Pradeep Dubey & John Geanakoplos & Martin Shubik, 1982. "Revelation of Information in Strategic Market Games: A Critique of Rational Expectations," Cowles Foundation Discussion Papers 634R, Cowles Foundation for Research in Economics, Yale University, revised Nov 1985.
    4. 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.
    5. Dubey, P. & Rogawski, J. D., 1990. "Inefficiency of smooth market mechanisms," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 285-304.
    6. Ghosal, Sayantan & Morelli, Massimo, 2004. "Retrading in market games," Journal of Economic Theory, Elsevier, vol. 115(1), pages 151-181, March.
    7. Dubey, Pradeep & Sahi, Siddharta & Shubik, Martin, 1993. "Repeated trade and the velocity of money," Journal of Mathematical Economics, Elsevier, vol. 22(2), pages 125-137.
    8. Thomas Brenner, 1999. "Modelling Learning in Economics," Books, Edward Elgar Publishing, number 1815.
    9. Dionysius Glycopantis & Allan Muir & Nicholas Yannelis, 2009. "On non-revealing rational expectations equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 351-369, February.
    10. Spear, Stephen E., 1988. "Existence and local uniqueness of functional rational expectations equilibria in dynamic economic models," Journal of Economic Theory, Elsevier, vol. 44(1), pages 124-155, February.
    11. Grandmont, Jean-Michel, 1993. "Temporary general equilibrium theory," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 19, pages 879-922, Elsevier.
    12. Erik Balder & Nicholas Yannelis, 2009. "Bayesian–Walrasian equilibria: beyond the rational expectations equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 385-397, February.
    13. Dubey, Pradeep & Geanakoplos, John & Shubik, Martin, 1987. "The revelation of information in strategic market games : A critique of rational expectations equilibrium," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 105-137, April.
    14. Dionysius Glycopantis & Allan Muir & Nicholas Yannelis, 2005. "Non-implementation of rational expectations as a perfect Bayesian equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 765-791, November.
    15. Dubey, Pradeep, 1980. "Nash equilibria of market games: Finiteness and inefficiency," Journal of Economic Theory, Elsevier, vol. 22(2), pages 363-376, April.
    16. Kelly, David L. & Shorish, Jamsheed, 2000. "Stability of Functional Rational Expectations Equilibria," Journal of Economic Theory, Elsevier, vol. 95(2), pages 215-250, December.
    17. Townsend, Robert M, 1983. "Forecasting the Forecasts of Others," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 546-588, August.
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    Cited by:

    1. Anna Bayona, 2018. "The social value of information with an endogenous public signal," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 1059-1087, December.

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    More about this item

    Keywords

    Market game; Rational expectations equilibrium; Bayesian updating; Learning; Computation; G12; D83; C63;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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