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The shapley value

In: Handbook of Game Theory with Economic Applications

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  • Winter, Eyal

Abstract

This chapter surveys some of the literature in game theory that has emerged from Shapley's seminal paper on the Value. The survey includes both contributions which offer different interpretations of the Shapley value as well as several different ways to characterize the value axiomatically. The chapter also surveys some of the literature that generalizes the notion of the value to situations in which a priori cooperation structure exists, as well as a different literature that discusses the relation between the Shapley value and models of non-cooperative bargaining. The chapter concludes with a discussion of the applied side of the Shapley value, primarily in the context of cost allocation and voting.

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This chapter was published in:

  • R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3, 00.
    This item is provided by Elsevier in its series Handbook of Game Theory with Economic Applications with number 3-53.

    Handle: RePEc:eee:gamchp:3-53

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    Cited by:
    1. Alan Kirman & Sheri Markose & Simone Giasante & Paolo Pin, 2007. "Marginal contribution, reciprocity and equity in segregated groups: Bounded rationality and self-organization in social networks," Economics Discussion Papers 629, University of Essex, Department of Economics.
    2. Justin Yifu Lin, 2007. "Development and Transition : Idea, Strategy, and Viability," Development Economics Working Papers 22709, East Asian Bureau of Economic Research.
    3. Jason Barr & Francesco Passarelli, . "Who Has the Power in the EU?," Working Papers Rutgers University, Newark 2004-005, Department of Economics, Rutgers University, Newark.
    4. Anirban Kar & Manipushpak Mitra & Suresh Mutuswami, 2005. "On the coincidence of the Prenucleolus and the Shapley Value," Economics Discussion Papers 599, University of Essex, Department of Economics.
    5. Conrado Manuel & Enrique Gonzalez-Aranguena & Rene van den Brink|, 2012. "Players Indifferent to Cooperate and Characterizations of the Shapley Value," Tinbergen Institute Discussion Papers 12-036/1, Tinbergen Institute.
    6. Di Giannatale, Paolo & Passarelli, Francesco, 2012. "Voting chances instead of voting weights," MPRA Paper 43059, University Library of Munich, Germany.
    7. Harald Wiese, 2012. "Values with exogenous payments," Theory and Decision, Springer, vol. 72(4), pages 485-508, April.
    8. Roberto Burguet & Ramon Caminal, 2010. "Simultaneous Nash Bargaining with Consistent Beliefs," Working Papers 521, Barcelona Graduate School of Economics.
    9. Wulf, Jochen & Limbach, Felix & Zarnekow, Rüdiger, 2010. "Analysis of QoS Platform Cooperation Strategies," 21st European Regional ITS Conference, Copenhagen 2010: Telecommunications at new crossroads - Changing value configurations, user roles, and regulation 39, International Telecommunications Society (ITS).

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