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General equilibrium with private state verification

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Author Info
João Correia-da-Silva () (CEMPRE and Faculdade de Economia, Universidade do Porto, Portugal)
Carlos Hervés-Beloso () (RGEA and Facultad de Económicas, Universidad de Vigo, Spain)

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Abstract

We study general equilibrium with private and incomplete state verification. Trade is agreed ex ante, that is, before private information is received. It is useful to define a list of bundles as a derivative good that gives an agent the right to receive one of the bundles in the list. Enforceable trade agreements can be described by Pi-measurable plans of lists of bundles, instead of Pi-measurable plans of bundles as in Radner (1968). In equilibrium, the price of a list coincides with the price of the cheapest bundle in the list, and it is always the cheapest bundle of the list that is delivered. This property leads to a system of linear inequalities which are deliverability constraints on the choice set. We investigate existence of equilibrium in the case in which preferences are Pi-measurable. If there is a perfectly informed trader in the economy, existence of equilibrium is guaranteed.

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Publisher Info
Paper provided by Universidade do Porto, Faculdade de Economia do Porto in its series FEP Working Papers with number 269.

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Length: 57 pages
Date of creation: Mar 2008
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Handle: RePEc:por:fepwps:269

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Related research
Keywords: General equilibrium; Differential information; Verifiability; Uncertain delivery; Lists of bundles; Rational expectations;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

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  2. Edward Simpson Prescott & Robert M. Townsend, 2006. "Firms as Clubs in Walrasian Markets with Private Information," Journal of Political Economy, University of Chicago Press, vol. 114(4), pages 644-671, August. [Downloadable!] (restricted)
    Other versions:
  3. 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 1173-99, September. [Downloadable!] (restricted)
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  6. Forges, F. & Heifetz, A. & Minelli, E., 1999. "Incentive Compatible Core and Competitive Equilibria in Differential Information Economies," Papers 34-99, Tel Aviv.
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  7. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2005. "Default and Punishment in General Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 1-37, 01. [Downloadable!] (restricted)
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  8. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September. [Downloadable!] (restricted)
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  9. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-78, May. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
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  11. MINELLI, Enrico & POLEMARCHAKIS, Heracles & ,, 1999. "Nash-Walras equilibria of a large economy ," CORE Discussion Papers 1999043, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
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