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Sharing the surplus in games with externalities within and across issues

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  • Effrosyni Diamantoudi
  • Inés Macho-Stadler
  • David Pérez-Castrillo
  • Licun Xue

Abstract

We consider environments in which agents can cooperate on multiple issues and externalities are present both within and across issues. We propose a way to extend (Shapley) values that have been put forward to deal with externalities within issues to games where there are externalities within and across issues. We characterize our proposal through axioms that extend the Shapley axioms to our more general environment.

Suggested Citation

  • Effrosyni Diamantoudi & Inés Macho-Stadler & David Pérez-Castrillo & Licun Xue, 2011. "Sharing the surplus in games with externalities within and across issues," UFAE and IAE Working Papers 880.11, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  • Handle: RePEc:aub:autbar:880.11
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    Citations

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    Cited by:

    1. Messan Agbaglah, 2017. "Overlapping coalitions, bargaining and networks," Theory and Decision, Springer, vol. 82(3), pages 435-459, March.
    2. Ines Macho-Stadler & David Perez-Castrillo & David Wettstein, 2017. "Extensions Of The Shapley Value For Environments With Externalities," Working Papers 1716, Ben-Gurion University of the Negev, Department of Economics.
    3. Gayer, Gabrielle & Persitz, Dotan, 2016. "Negotiation across multiple issues," Theoretical Economics, Econometric Society, vol. 11(3), September.
    4. Sokolov, Denis, 2022. "Shapley value for TU-games with multiple memberships and externalities," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 76-90.
    5. Andrea Caggese & Ander Pérez-Orive, 2017. "Capital Misallocation and Secular Stagnation," Finance and Economics Discussion Series 2017-009, Board of Governors of the Federal Reserve System (U.S.).
    6. Heinrich H. Nax, 2014. "A Note on the Core of TU-cooperative Games with Multiple Membership Externalities," Games, MDPI, vol. 5(4), pages 1-13, October.
    7. Mikel Álvarez-Mozos & Inés Macho-Stadler & David Pérez-Castrillo, 2024. "Sequential Creation of Surplus and the Shapley Value," Working Papers 1427, Barcelona School of Economics.
    8. Dollinger, Jérôme & Mauleon, Ana & Vannetelbosch, Vincent, 2023. "R&D and Market Sharing Agreements," LIDAM Discussion Papers CORE 2023004, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. J. M. Alonso-Meijide & M. Álvarez-Mozos & M. G. Fiestras-Janeiro & A. Jiménez-Losada, 2022. "On convexity in cooperative games with externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(1), pages 265-292, July.

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    More about this item

    Keywords

    externalities; cooperative game theory; Shapley value; linked issues.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

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