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The Ex Ante Incentive Compatible Core in Exchange Economies with and without Indivisibilities

  • Francoise Forges

The ex ante incentive compatible core of an exchange economy with private information is the (standard) core of a socially designed characteristic function, which expresses the fact that coalitions allocate goods by means of random incentive compatible mechanisms. We first survey some results in the case of perfectly divisible goods. Examples then show that the ex ante incentive compatible core can be empty, even if utility functions are quasi-linear. If, in addition to quasi-linearity, further assumptions are made (like independent private values), the non-emptiness of the core follows nevertheless from d’Aspremont and Gérard-Varet’s construction of incentive compatible, ex post efficient mechanisms. We also introduce a private information version of Shapley and Scarf’s economies with indivisible goods, and prove that the ex ante incentive compatible core is always non-empty in this framework.

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Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 1686.

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Date of creation: 2006
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Handle: RePEc:ces:ceswps:_1686
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  1. Rajiv Vohra & Bhaskar Dutta, 2003. "Incomplete Information, Credibility and the Core," Working Papers 2003-21, Brown University, Department of Economics.
  2. d'ASPREMONT , C. & GERARD VARET, L.-A., . "Bayesian incentive compatible beliefs," CORE Discussion Papers RP 481, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Myerson Roger B., 1995. "Sustainable Matching Plans with Adverse Selection," Games and Economic Behavior, Elsevier, vol. 9(1), pages 35-65, April.
  4. Johnson, Scott & Pratt, John W & Zeckhauser, Richard J, 1990. "Efficiency Despite Mutually Payoff-Relevant Private Information: The Finite Case," Econometrica, Econometric Society, vol. 58(4), pages 873-900, July.
  5. Atila Abdulkadiroglu & Tayfun Sonmez, 1998. "Random Serial Dictatorship and the Core from Random Endowments in House Allocation Problems," Econometrica, Econometric Society, vol. 66(3), pages 689-702, May.
  6. Bengt Holmstrom & Roger B. Myerson, 1981. "Efficient and Durable Decision Rules with Incomplete Information," Discussion Papers 495, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  7. de CLIPPEL, Geoffroy & MINELLI, Enrico, 2002. "Two-person bargaining with verifiable information," CORE Discussion Papers 2002063, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University.
  9. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
  10. Garratt, Rod & Qin, Cheng-Zhong, 1996. "Cores and Competitive Equilibria with Indivisibilities and Lotteries," Journal of Economic Theory, Elsevier, vol. 68(2), pages 531-543, February.
  11. Rajiv Vohra, 1997. "Incomplete Information, Incentive Compatibility and the Core," Working Papers 97-11, Brown University, Department of Economics.
  12. Francoise Forges & Jean-Francois Mertens & Rajiv Vohra, 2002. "The Ex Ante Incentive Compatible Core in the Absence of Wealth Effects," Econometrica, Econometric Society, vol. 70(5), pages 1865-1892, September.
  13. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-97, November.
  14. Forges, Françoise, 2004. "The ex ante incentive compatible core of the assignement game," Economics Papers from University Paris Dauphine 123456789/169, Paris Dauphine University.
  15. Forges, Françoise & Minelli, Enrico, 2001. "A note on the incentive compatible core," Economics Papers from University Paris Dauphine 123456789/5452, Paris Dauphine University.
  16. d ASPREMONT, Claude & CRÉMER, Jacques & GÉRARD-VARET, Louis-André, 2003. "Correlation, independence, and Bayesian incentives," CORE Discussion Papers 2003045, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  17. Hylland, Aanund & Zeckhauser, Richard, 1979. "The Efficient Allocation of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 293-314, April.
  18. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October.
  19. Alkan, Ahmet & Gale, David, 1990. "The core of the matching game," Games and Economic Behavior, Elsevier, vol. 2(3), pages 203-212, September.
  20. d'Aspremont, Claude & Cremer, Jacques & Gerard-Varet, Louis-Andre, 1990. "Incentives and the existence of Pareto-optimal revelation mechanisms," Journal of Economic Theory, Elsevier, vol. 51(2), pages 233-254, August.
  21. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-61, March.
  22. Martine Quinzii, 1982. "Core and Competitive Equilibria with Indivisibilities," Cowles Foundation Discussion Papers 644, Cowles Foundation for Research in Economics, Yale University.
  23. 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.
  24. Wilson, Robert B, 1978. "Information, Efficiency, and the Core of an Economy," Econometrica, Econometric Society, vol. 46(4), pages 807-16, July.
  25. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February.
  26. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-57, November.
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