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Strong monotonicity in surplus sharing


  • Eric Friedman



We consider three new axioms for surplus sharing problems. The first is strong monotonicity which says that workers should be rewarded for increases in productivity and the second says that productive workers should receive some compensation. The third requires that the surplus sharing rule should be well defined (and continuous on) the set of threshold functions. We show that none of the standard "equitable" mechanisms satisfy any of these axioms and then present a constructive characterization of mechanisms which do. Using this we construct several new mechanisms. These are the Almost Flat mechanism, the Spread Aumann-Shapley mechanism, and the Spread Serial mechanism, which have many desirable properties. Copyright Springer-Verlag Berlin/Heidelberg 2004

Suggested Citation

  • Eric Friedman, 2004. "Strong monotonicity in surplus sharing," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 643-658, March.
  • Handle: RePEc:spr:joecth:v:23:y:2004:i:3:p:643-658 DOI: 10.1007/s00199-003-0377-0

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    References listed on IDEAS

    1. Raymond RIEZMAN, 2013. "Customs Unions and the Core," World Scientific Book Chapters,in: International Trade Agreements and Political Economy, chapter 3, pages 33-43 World Scientific Publishing Co. Pte. Ltd..
    2. Jones, Ronald W, 1969. "Tariffs and Trade in General Equilibrium: Comment," American Economic Review, American Economic Association, vol. 59(3), pages 418-424, June.
    3. Kowalczyk, Carsten & Sjostrom, Tomas, 1994. "Bringing GATT into the Core," Economica, London School of Economics and Political Science, vol. 61(243), pages 301-317, August.
    4. Kowalczyk, Carsten & Sjostrom, Tomas, 2000. "Trade as transfers, GATT and the core," Economics Letters, Elsevier, vol. 66(2), pages 163-169, February.
    5. John Kennan & Raymond Riezman, 2013. "Optimal Tariff Equilibria with Customs Unions," World Scientific Book Chapters,in: International Trade Agreements and Political Economy, chapter 5, pages 53-66 World Scientific Publishing Co. Pte. Ltd..
    6. Earl L. Grinols & Kar-yiu Wong, 1991. "An Exact Measure of Welfare Change," Canadian Journal of Economics, Canadian Economics Association, vol. 24(2), pages 428-449, May.
    7. Carsten Kowalczyk & Raymond Riezman, 2009. "Trade Agreements," CESifo Working Paper Series 2660, CESifo Group Munich.
    8. John Kennan & Raymond Riezman, 2013. "Do Big Countries Win Tariff Wars?," World Scientific Book Chapters,in: International Trade Agreements and Political Economy, chapter 4, pages 45-51 World Scientific Publishing Co. Pte. Ltd..
    9. Kemp, Murray C. & Wan, Henry Jr., 1976. "An elementary proposition concerning the formation of customs unions," Journal of International Economics, Elsevier, vol. 6(1), pages 95-97, February.
    10. Constantinos Syropoulos, 2002. "Optimum Tariffs and Retaliation Revisited: How Country Size Matters," Review of Economic Studies, Oxford University Press, vol. 69(3), pages 707-727.
    11. Bond, Eric W. & Syropoulos, Constantinos, 1996. "The size of trading blocs Market power and world welfare effects," Journal of International Economics, Elsevier, vol. 40(3-4), pages 411-437, May.
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    Cited by:

    1. Leroux, Justin, 2005. "Strategyproof Profit Sharing: A Two-Agent Characterization," Working Papers 2005-04, Rice University, Department of Economics.
    2. Leroux, Justin, 2008. "Profit sharing in unique Nash equilibrium: Characterization in the two-agent case," Games and Economic Behavior, Elsevier, vol. 62(2), pages 558-572, March.
    3. Qiaohai (Joice) Hu & Leroy B. Schwarz & Nelson A. Uhan, 2012. "The Impact of Group Purchasing Organizations on Healthcare-Product Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 14(1), pages 7-23, January.
    4. Justin Leroux, 2007. "Cooperative production under diminishing marginal returns: interpreting fixed-path methods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(1), pages 35-53, July.


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