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Efficient Combinatorial Exchanges

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  • Hitoshi Matsushima

    (Faculty of Economics, University of Tokyo)

Abstract

We investigate combinatorial exchanges as a generalization of combinatorial auctions and bilateral trades, where the multiple commodities to be traded are possessed by participants and a central planner as endowments. Private values, risk neutrality, and independent types are assumed. Efficiency, Bayesian Incentive Compatibility, and Interim Individual Rationality are required. We characterize the least upper bound of the central planner's expected revenue. We introduce a stability notion, namely, the marginal core, to the assumption that the central planner's endowment is unprotected. We show that the central planner has a deficit in expectation if and only if the marginal core is non-empty.

Suggested Citation

  • Hitoshi Matsushima, 2011. "Efficient Combinatorial Exchanges," CARF F-Series CARF-F-258, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  • Handle: RePEc:cfi:fseres:cf258
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    1. Aytek Erdil & Paul Klemperer, 2010. "A New Payment Rule for Core-Selecting Package Auctions," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 537-547, 04-05.
    2. Sushil Bikhchandani & Shurojit Chatterji & Ron Lavi & Ahuva Mu'alem & Noam Nisan & Arunava Sen, 2006. "Weak Monotonicity Characterizes Deterministic Dominant-Strategy Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1109-1132, July.
    3. Lawrence M. Ausubel, 2006. "An Efficient Dynamic Auction for Heterogeneous Commodities," American Economic Review, American Economic Association, vol. 96(3), pages 602-629, June.
    4. Lawrence M. Ausubel, 2004. "An Efficient Ascending-Bid Auction for Multiple Objects," American Economic Review, American Economic Association, vol. 94(5), pages 1452-1475, December.
    5. Bikhchandani, Sushil & Mamer, John W., 1997. "Competitive Equilibrium in an Exchange Economy with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 74(2), pages 385-413, June.
    6. 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 345-361, March.
    7. Aoyagi, Masaki, 1998. "Correlated Types and Bayesian Incentive Compatible Mechanisms with Budget Balance," Journal of Economic Theory, Elsevier, vol. 79(1), pages 142-151, March.
    8. Robert Day & Paul Milgrom, 2008. "Core-selecting package auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 393-407, March.
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