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Irrelevance of private information in two-period economies with more goods than states of nature

Author

Listed:
  • Joao Correia-da-Silva

    (CEFUP e Faculdade de Economia, Universidade do Porto)

  • Carlos Hervés-Beloso

    (RGEA, Facultad de Económicas, Universidad de Vigo)

Abstract

We introduce a two-period economy with asymmetric information about the state of nature that occurs in the second period. Each agent is endowed with an information structure that describes her (incomplete) ability to prove whether or not a state has occurred. We show that if the number of states of nature is not greater than the number of goods, then, generically, the equilibria of the associated full information economy are also equilibria of the asymmetric information economy. The information structures of the agents are, in that sense, irrelevant.

Suggested Citation

  • Joao Correia-da-Silva & Carlos Hervés-Beloso, 2012. "Irrelevance of private information in two-period economies with more goods than states of nature," FEP Working Papers 473, Universidade do Porto, Faculdade de Economia do Porto.
    • Handle: RePEc:por:fepwps:473
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    References listed on IDEAS

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    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    2. Correia-da-Silva, João, 2012. "General equilibrium in markets for lemons," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 187-195.
    3. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    4. João Correia-da-Silva & Carlos Hervés-Beloso, 2009. "Prudent expectations equilibrium in economies with uncertain delivery," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(1), pages 67-92, April.
    5. Carlos Hervés-Beloso & V. Martins-da-Rocha & Paulo Monteiro, 2009. "Equilibrium theory with asymmetric information and infinitely many states," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 295-320, February.
    6. E. Malinvaud, 1972. "Prices for Individual Consumption, Quantity Indicators for Collective Consumption," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(4), pages 385-405.
    7. João Correia-da-Silva & Carlos Hervés-Beloso, 2012. "General equilibrium in economies with uncertain delivery," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 729-755, November.
    8. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
    9. Belen Jerez, 2005. "Incentive Compatibility and Pricing under Moral Hazard," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(1), pages 28-47, January.
    10. Correia-da-Silva, João & Hervés-Beloso, Carlos, 2008. "Subjective expectations equilibrium in economies with uncertain delivery," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 641-650, July.
    11. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    12. Alberto Bisin & Piero Gottardi, 2006. "Efficient Competitive Equilibria with Adverse Selection," Journal of Political Economy, University of Chicago Press, vol. 114(3), pages 485-516, June.
    13. 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.
    14. Yannelis, Nicholas C, 1991. "The Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 183-197, April.
    15. Prescott, Edward C & Townsend, Robert M, 1984. "Pareto Optima and Competitive Equilibria with Adverse Selection and Moral Hazard," Econometrica, Econometric Society, vol. 52(1), pages 21-45, January.
    16. Debreu, Gerard, 1972. "Smooth Preferences," Econometrica, Econometric Society, vol. 40(4), pages 603-615, July.
    17. Aldo Rustichini & Paolo Siconolfi, 2008. "General equilibrium in economies with adverse selection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 1-29, October.
    18. Bisin, Alberto & Gottardi, Piero, 1999. "Competitive Equilibria with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 87(1), pages 1-48, July.
    19. Mas-Colell, Andreu, 1974. "Continuous and smooth consumers: Approximation theorems," Journal of Economic Theory, Elsevier, vol. 8(3), pages 305-336, July.
    20. K. J. Arrow, 1964. "The Role of Securities in the Optimal Allocation of Risk-bearing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(2), pages 91-96.
    21. Luciano Castro & Marialaura Pesce & Nicholas Yannelis, 2011. "Core and equilibria under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 519-548, October.
    22. Dierker, Egbert, 1993. "Regular economies," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 17, pages 795-830, Elsevier.
    23. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
    24. Townsend, Robert M., 1979. "Optimal contracts and competitive markets with costly state verification," Journal of Economic Theory, Elsevier, vol. 21(2), pages 265-293, October.
    25. Dionysius Glycopantis & Carlos Hervés-Beloso & Konrad Podczeck, 2009. "Symposium on: equilibria with asymmetric information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 217-219, February.
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    Cited by:

    1. João Correia-da-Silva, 2015. "Two-period economies with price-contingent deliveries," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(3), pages 509-525, August.
    2. Aristotelis Boukouras & Kostas Koufopoulos, 2017. "Efficient allocations in economies with asymmetric information when the realized frequency of types is common knowledge," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(1), pages 75-98, June.
    3. De Castro, Luciano & Yannelis, Nicholas C., 2018. "Uncertainty, efficiency and incentive compatibility: Ambiguity solves the conflict between efficiency and incentive compatibility," Journal of Economic Theory, Elsevier, vol. 177(C), pages 678-707.
    4. Luciano I. Castro & Marialaura Pesce & Nicholas C. Yannelis, 2020. "A new approach to the rational expectations equilibrium: existence, optimality and incentive compatibility," Annals of Finance, Springer, vol. 16(1), pages 1-61, March.
    5. He, Wei & Yannelis, Nicholas C., 2015. "Equilibrium theory under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 86-95.
    6. Sebastián Cea-Echenique & Carlos Hervés-Beloso & Juan Pablo Torres-Martínez, 2017. "Endogenous differential information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 51-72, January.
    7. Maria Gabriella Graziano & Maria Romaniello, 2016. "Stable sets of allocations and the provision of public goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 15-42, June.
    8. Carlos Hervés-Beloso & Monica Patriche, 2014. "A Fixed-Point Theorem and Equilibria of Abstract Economies with Weakly Upper Semicontinuous Set-Valued Maps," Journal of Optimization Theory and Applications, Springer, vol. 163(3), pages 719-736, December.

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    More about this item

    Keywords

    General equilibrium; Asymmetric information; Private state-verification; Two-period economies; Generic existence of equilibrium; Generic efficiency;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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