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Sharing Nonconvex Costs

Author

Listed:
  • Evstigneev, I.V.
  • Flam, S.D.

Abstract

The paper analyses cooperative games with side payments. Each player facesa possibly non-convex optimization problem, interpreted as production planning, constrained by his resources or technology. Coalitions can aggreagate members' contributions. We discuss instances where such aggregation eliminates or reduces the lack of convexity. Core solutions are computed or approximated via dual programs associated to the grand coalition.

Suggested Citation

  • Evstigneev, I.V. & Flam, S.D., 2000. "Sharing Nonconvex Costs," Norway; Department of Economics, University of Bergen 1300, Department of Economics, University of Bergen.
  • Handle: RePEc:fth:bereco:1300
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    References listed on IDEAS

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    7. Nahum D. Melumad & Toshiyuki Shibano, 1991. "Communication in Settings with No. Transfers," RAND Journal of Economics, The RAND Corporation, vol. 22(2), pages 173-198, Summer.
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    9. Bolton, Patrick & Farrell, Joseph, 1990. "Decentralization, Duplication, and Delay," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 803-826, August.
    10. repec:bla:joares:v:25:y:1987:i::p:1-21 is not listed on IDEAS
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    Citations

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    Cited by:

    1. S. Flåm & L. Koutsougeras, 2010. "Private information, transferable utility, and the core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(3), pages 591-609, March.
    2. Borglin, Anders & Flåm, Sjur, 2007. "Risk Exchange as a Market or Production Game," Working Papers 2007:16, Lund University, Department of Economics.
    3. T. Ermolieva & Y. Ermoliev & M. Jonas & M. Obersteiner & F. Wagner & W. Winiwarter, 2014. "Uncertainty, cost-effectiveness and environmental safety of robust carbon trading: integrated approach," Climatic Change, Springer, vol. 124(3), pages 633-646, June.
    4. Sjur Didrik Flåm, 2002. "Pooling, Pricing and Trading of Risks," CESifo Working Paper Series 672, CESifo Group Munich.
    5. Flåm, S.D. & Godal, O., 2008. "Market clearing and price formation," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 956-977, March.
    6. Flåm, Sjur Didrik & Jongen, Hubertus Th. & Stein, Oliver, 2007. "Slopes of Shadow Prices and Lagrange Multipliers," Working Papers in Economics 05/07, University of Bergen, Department of Economics.
    7. S D Flåm & O Godal, 2005. "Affine Price Expectations and Equilibrium in Strategic Markets," The School of Economics Discussion Paper Series 0505, Economics, The University of Manchester.
    8. Flåm, Sjur Didrik, 2002. "Balanced Environmental Games," Working Papers in Economics 17/02, University of Bergen, Department of Economics.
    9. Flam, S.D. & Jourani, A., 2000. "Prices and Pareto Optima," Norway; Department of Economics, University of Bergen 0800, Department of Economics, University of Bergen.
    10. Flåm, S. D. & Ermoliev, Y. M., 2009. "Investment, uncertainty, and production games," Environment and Development Economics, Cambridge University Press, vol. 14(01), pages 51-66, February.
    11. Myrna Wooders, 2008. "Games with Many Players and Abstract Economies Permitting Differentiated Commodities, Clubs, and Public Goods," Vanderbilt University Department of Economics Working Papers 0813, Vanderbilt University Department of Economics.

    More about this item

    Keywords

    COOPERATIVE GAMES ; PRODUCTION GAMES ; CORE ALLOCATIONS ; LACK OF CONVEXITY;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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