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The Shapley Value

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  • Roth,Alvin E.

Abstract

Composed in honour of the sixty-fifth birthday of Lloyd Shapley, this volume makes accessible the large body of work that has grown out of Shapley's seminal 1953 paper. Each of the twenty essays concerns some aspect of the Shapley value. Three of the chapters are reprints of the 'ancestral' papers: Chapter 2 is Shapley's original 1953 paper defining the value; Chapter 3 is the 1954 paper by Shapley and Shubik applying the value to voting models; and chapter 19 is Shapley's 1969 paper defining a value for games without transferable utility. The other seventeen chapters were contributed especially for this volume. The first chapter introduces the subject and the other essays in the volume, and contains a brief account of a few of Shapley's other major contributions to game theory. The other chapters cover the reformulations, interpretations and generalizations that have been inspired by the Shapley value, and its applications to the study of coalition formulation, to the organization of large markets, to problems of cost allocation, and to the study of games in which utility is not transferable.

Suggested Citation

  • Roth,Alvin E. (ed.), 1989. "The Shapley Value," Cambridge Books, Cambridge University Press, number 9780521361774, January.
    • Handle: RePEc:cup:cbooks:9780521361774
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    Cited by:

    1. Florig, Michael, 2001. "Hierarchic competitive equilibria," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 515-546, July.
    2. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    3. Youngsub Chun & Boram Park, 2012. "Population solidarity, population fair-ranking, and the egalitarian value," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 255-270, May.
    4. Goyal, Sanjeev & Vega-Redondo, Fernando, 2005. "Network formation and social coordination," Games and Economic Behavior, Elsevier, vol. 50(2), pages 178-207, February.
    5. Bendel, Dan & Haviv, Moshe, 2018. "Cooperation and sharing costs in a tandem queueing network," European Journal of Operational Research, Elsevier, vol. 271(3), pages 926-933.
    6. Fernando Vega-Redondo, 2003. "Building Up Social Capital in a Changing World: A Network Approach," Working Papers 2003.53, Fondazione Eni Enrico Mattei.
    7. Vega-Redondo, Fernando, 2006. "Building up social capital in a changing world," Journal of Economic Dynamics and Control, Elsevier, vol. 30(11), pages 2305-2338, November.
    8. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    9. Gabriela Zapata-Román, 2021. "The role of skills and tasks in changing employment trends and income inequality in Chile," WIDER Working Paper Series wp-2021-48, World Institute for Development Economic Research (UNU-WIDER).
    10. Joon Song, 2012. "Futures market: contractual arrangement to restrain moral hazard in teams," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 163-189, September.
    11. Andrea Galeotti & Miguel Meléndez, 2004. "Exploitation and Cooperation in Networks," Tinbergen Institute Discussion Papers 04-076/1, Tinbergen Institute.
    12. Andrea Galeotti, 2006. "One-way flow networks: the role of heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 163-179, September.
    13. Ostroy, Joseph & Song, Joon, 2006. "Correlated Equilibrium and the Pricing of Public Goods," Economics Discussion Papers 8905, University of Essex, Department of Economics.

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