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Efficient trading with nonlinear utility

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  • Lu, Hu
  • Wang, Yuntong

Abstract

In an environment in which agents have nonlinear utility and sufficiently asymmetric initial endowments, we show that efficient trading is achievable. This result is in contrast with Myerson and Satterthwaite (1983), which shows efficient trading is not possible if agents have linear utility and asymmetric initial endowments. Our result is also different from Cramton et al. (1987), in which they maintain the linear utility assumption as in Myerson and Satterthwaite but assume that traders' initial endowments are relatively symmetric.

Suggested Citation

  • Lu, Hu & Wang, Yuntong, 2010. "Efficient trading with nonlinear utility," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 595-606, July.
    • Handle: RePEc:eee:mateco:v:46:y:2010:i:4:p:595-606
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    References listed on IDEAS

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    1. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    2. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    3. Cramton, Peter & Gibbons, Robert & Klemperer, Paul, 1987. "Dissolving a Partnership Efficiently," Econometrica, Econometric Society, vol. 55(3), pages 615-632, May.
    4. Lu, Hu & Robert, Jacques, 2001. "Optimal Trading Mechanisms with Ex Ante Unidentified Traders," Journal of Economic Theory, Elsevier, vol. 97(1), pages 50-80, March.
    5. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    6. Gresik, Thomas A. & Satterthwaite, Mark A., 1989. "The rate at which a simple market converges to efficiency as the number of traders increases: An asymptotic result for optimal trading mechanisms," Journal of Economic Theory, Elsevier, vol. 48(1), pages 304-332, June.
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    Cited by:

    1. Hu Lu & Yuntong Wang, 2014. "Efficient trading on a network with incomplete information," Working Papers 1405, University of Windsor, Department of Economics.
    2. Suh, Eunju & Tsai, Henry, 2013. "Examining the relationship between poker and the gaming volumes of Las Vegas hotel casinos," Journal of Business Research, Elsevier, vol. 66(9), pages 1651-1658.

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