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Implementation of the Levels Structure Value

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  • Juan Vidal-Puga

Abstract

We implement the levels structure value (Winter, 1989) for cooperative transfer utility games with a levels structure. The mechanism is a generalization of the bidding mechanism by Pérez-Castrillo and Wettstein (2001). Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • Juan Vidal-Puga, 2005. "Implementation of the Levels Structure Value," Annals of Operations Research, Springer, vol. 137(1), pages 191-209, July.
    • Handle: RePEc:spr:annopr:v:137:y:2005:i:1:p:191-209:10.1007/s10479-005-2255-6
    DOI: 10.1007/s10479-005-2255-6
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    1. Navarro, Noemí & Perea, Andrés, 2001. "Bargaining in networks and the myerson value," UC3M Working papers. Economics we016121, Universidad Carlos III de Madrid. Departamento de Economía.
    2. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
    3. Hart, Oliver & Moore, John, 1990. "Property Rights and the Nature of the Firm," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1119-1158, December.
    4. Evans, Robert A., 1996. "Value, Consistency, and Random Coalition Formation," Games and Economic Behavior, Elsevier, vol. 12(1), pages 68-80, January.
    5. Moldovanu, Benny & Winter, Eyal, 1994. "Core implementation and increasing returns to scale for cooperation," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 533-548, November.
    6. Winter, Eyal, 1989. "A Value for Cooperative Games with Levels Structure of Cooperation," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(2), pages 227-240.
    7. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
    8. Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October.
    9. Calvo, Emilio & Javier Lasaga, J. & Winter, Eyal, 1996. "The principle of balanced contributions and hierarchies of cooperation," Mathematical Social Sciences, Elsevier, vol. 31(3), pages 171-182, June.
    10. Winter, Eyal, 1994. "The Demand Commitment Bargaining and Snowballing Cooperation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 255-273, March.
    11. (*), Y. Stephen Chiu & Ani Dasgupta, 1998. "On implementation via demand commitment games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 161-189.
    12. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
    13. Roger B. Myerson, 1978. "Conference Structures and Fair Allocation Rules," Discussion Papers 363, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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    Cited by:

    1. Gustavo Bergantiños & Juan Vidal-Puga, 2004. "Realizing efficient outcomes in cost spanning problems," Game Theory and Information 0403001, University Library of Munich, Germany.
    2. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "A strategic implementation of the sequential equal surplus division rule for digraph cooperative games," Annals of Operations Research, Springer, vol. 253(1), pages 43-59, June.
    3. María Gómez-Rúa & Juan Vidal-Puga, 2011. "Balanced per capita contributions and level structure of cooperation," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 167-176, July.
    4. Xun-Feng Hu & Deng-Feng Li, 2021. "The Equal Surplus Division Value for Cooperative Games with a Level Structure," Group Decision and Negotiation, Springer, vol. 30(6), pages 1315-1341, December.

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    More about this item

    Keywords

    levels structure value; implementation; TU games;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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