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Decentralizability of efficient allocations with heterogeneous forecasts

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  • Chatterji, Shurojit
  • Kajii, Atsushi

Abstract

Do price forecasts of rational economic agents need to coincide in intertemporal perfectly competitive complete markets in order for markets to allocate resources efficiently? To address this question, we define an efficient temporary equilibrium (ETE) within the framework of a two period economy. Although an ETE allocation is intertemporally efficient and is obtained by perfect competition, it can arise without the agents' forecasts being coordinated on a perfect foresight price. With time-separable utilities, we show that there is a one dimensional set of ETE allocations for generic endowments. Moreover, these efficient allocations can be supported by forecasts that disagree up to one degree of freedom. Thus, strong as efficiency and perfect competition may appear, they do not imply perfect foresight, but they do add explanatory power to temporary equilibrium, since they select a small subset out of the Pareto efficient allocations, which generally have higher dimension.

Suggested Citation

  • Chatterji, Shurojit & Kajii, Atsushi, 2023. "Decentralizability of efficient allocations with heterogeneous forecasts," Journal of Economic Theory, Elsevier, vol. 207(C).
  • Handle: RePEc:eee:jetheo:v:207:y:2023:i:c:s002205312200182x
    DOI: 10.1016/j.jet.2022.105592
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    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    2. George W. Evans & Seppo Honkapohja & Kaushik Mitra, 2022. "Expectations, Stagnation, And Fiscal Policy: A Nonlinear Analysis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(3), pages 1397-1425, August.
    3. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    4. Ho-Mou Wu & Mordecai Kurz, 1996. "Endogenous uncertainty in a general equilibrium model with price contingent contracts (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(3), pages 461-488.
    5. Klaus Adam & Albert Marcet & Juan Pablo Nicolini, 2016. "Stock Market Volatility and Learning," Journal of Finance, American Finance Association, vol. 71(1), pages 33-82, February.
    6. Adam, Klaus & Marcet, Albert, 2011. "Internal rationality, imperfect market knowledge and asset prices," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1224-1252, May.
    7. 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.
    8. Roger Guesnerie & Pedro Jara-Moroni, 2011. "Expectational coordination in simple economic contexts," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(2), pages 205-246, June.
    9. Dávila Julio, 2016. "The Rationality of Expectations Formation," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 16(2), pages 515-543, June.
    10. Yves Balasko, 2009. "The Equilibrium Manifold: Postmodern Developments in the Theory of General Economic Equilibrium," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262026546, April.
    11. Shurojit Chatterji & Sayantan Ghosal, 2012. "Contracting over Prices," Working Papers 36-2012, Singapore Management University, School of Economics.
    12. Michael Woodford, 2013. "Macroeconomic Analysis Without the Rational Expectations Hypothesis," Annual Review of Economics, Annual Reviews, vol. 5(1), pages 303-346, May.
    13. Polemarchakis, Heraklis M, 1983. "Expectations, Demand, and Observability," Econometrica, Econometric Society, vol. 51(3), pages 565-574, May.
    14. Bray, Margaret, 1982. "Learning, estimation, and the stability of rational expectations," Journal of Economic Theory, Elsevier, vol. 26(2), pages 318-339, April.
    15. Chatterji, Shurojit & Ghosal, Sayantan, 2004. "Local coordination and market equilibria," Journal of Economic Theory, Elsevier, vol. 114(2), pages 255-279, February.
    16. Blume, L. E. & Bray, M. M. & Easley, D., 1982. "Introduction to the stability of rational expectations equilibrium," Journal of Economic Theory, Elsevier, vol. 26(2), pages 313-317, April.
    17. Green, Jerry R, 1973. "Temporary General Equilibrium in a Sequential Trading Model with Spot and Futures Transactions," Econometrica, Econometric Society, vol. 41(6), pages 1103-1123, November.
    18. Woodford, Michael & Xie, Yinxi, 2022. "Fiscal and monetary stabilization policy at the zero lower bound: Consequences of limited foresight," Journal of Monetary Economics, Elsevier, vol. 125(C), pages 18-35.
    19. Dubey, Pradeep, 1982. "Price-Quantity Strategic Market Games," Econometrica, Econometric Society, vol. 50(1), pages 111-126, January.
    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. Balasko, Yves, 1992. "The set of regular equilibria," Journal of Economic Theory, Elsevier, vol. 58(1), pages 1-8, October.
    22. 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.
    23. Atsushi Kajii, 1997. "On the Role of Options in Sunspot Equilibria," Econometrica, Econometric Society, vol. 65(4), pages 977-986, July.
    24. Shurojit Chatterji & Atsushi Kajii & Huaxia Zeng, 2018. "Intertemporal effiiency does not imply a common price forecast," KIER Working Papers 999, Kyoto University, Institute of Economic Research.
    25. Svensson, Lars E. O., 1976. "Sequences of temporary equilibria, stationary point expectations, and Pareto efficiency," Journal of Economic Theory, Elsevier, vol. 13(2), pages 169-183, October.
    26. Mordecai Kurz, 2011. "Symposium: on the role of market belief in economic dynamics, an introduction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(2), pages 189-204, June.
    27. Shurojit Chatterji & Atsushi Kajii & Huaxia Zeng, 2018. "Intertemporal efficiency does not imply a common price forecast: a leading example," KIER Working Papers 992, Kyoto University, Institute of Economic Research.
    28. Feldman, Mark, 1987. "Bayesian learning and convergence to rational expectations," Journal of Mathematical Economics, Elsevier, vol. 16(3), pages 297-313, June.
    29. Svensson, Lars E O, 1981. "Efficiency and Speculation in a Model with Price-Contingent Contracts," Econometrica, Econometric Society, vol. 49(1), pages 131-151, January.
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    More about this item

    Keywords

    General equilibrium; Efficient temporary equilibrium; Endogenous price forecasts; Indeterminacy;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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