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Externalities, Potential, Value and Consistency

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  • DUTTA, Bhaskar
  • EHLERS, Lars
  • KAR, Anirban

Abstract

We provide new characterization results for the value of games in partition function form. In particular, we use the potential of a game to define the value. We also provide a characterization of the class of values which satisfies one form of reduced game consistency.

Suggested Citation

  • DUTTA, Bhaskar & EHLERS, Lars & KAR, Anirban, 2008. "Externalities, Potential, Value and Consistency," Cahiers de recherche 06-2008, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    • Handle: RePEc:mtl:montec:06-2008
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    References listed on IDEAS

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    2. Geoffroy de Clippel & Roberto Serrano, 2008. "Marginal Contributions and Externalities in the Value," Econometrica, Econometric Society, vol. 76(6), pages 1413-1436, November.
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    10. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2007. "Sharing the surplus: An extension of the Shapley value for environments with externalities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 339-356, July.
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    Cited by:

    1. Effrosyni Diamantoudi & Inés Macho-Stadler & David Pérez-Castrillo & Licun Xue, 2015. "Sharing the surplus in games with externalities within and across issues," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 315-343, October.
    2. van den Brink, René & van der Laan, Gerard & Moes, Nigel, 2012. "Fair agreements for sharing international rivers with multiple springs and externalities," Journal of Environmental Economics and Management, Elsevier, vol. 63(3), pages 388-403.
    3. René Brink & Dinko Dimitrov & Agnieszka Rusinowska, 2021. "Winning coalitions in plurality voting democracies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(3), pages 509-530, April.
    4. Borm, Peter & Ju, Yuan & Wettstein, David, 2015. "Rational bargaining in games with coalitional externalities," Journal of Economic Theory, Elsevier, vol. 157(C), pages 236-254.
    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. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, March.
    7. Mikel Alvarez-Mozos & José María Alonso-Meijide & María Gloria Fiestras-Janeiro, 2016. "The Shapley-Shubik Index in the Presence of Externalities," UB School of Economics Working Papers 2016/342, University of Barcelona School of Economics.
    8. Andr'e Casajus & Yukihiko Funaki & Frank Huettner, 2024. "Random partitions, potential, value, and externalities," Papers 2402.00394, arXiv.org, revised Jun 2024.
    9. Álvarez-Mozos, M. & Alonso-Meijide, J.M. & Fiestras-Janeiro, M.G., 2017. "On the externality-free Shapley–Shubik index," Games and Economic Behavior, Elsevier, vol. 105(C), pages 148-154.
    10. José María Alonso-Meijide & Mikel Álvarez-Mozos & María Gloria Fiestras-Janeiro, 2015. "Power Indices and Minimal Winning Coalitions in Simple Games with Externalities Abstract: We propose a generalization of simple games to situations with coalitional externalities. The main novelty of ," UB School of Economics Working Papers 2015/328, University of Barcelona School of Economics.
    11. Bloch, Francis & van den Nouweland, Anne, 2014. "Expectation formation rules and the core of partition function games," Games and Economic Behavior, Elsevier, vol. 88(C), pages 339-353.
    12. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2017. "Extensions of the Shapley value for Environments with Externalities," Working Papers 1002, Barcelona School of Economics.
    13. Macho-Stadler, Inés & Pérez-Castrillo, David & Wettstein, David, 2018. "Values for environments with externalities – The average approach," Games and Economic Behavior, Elsevier, vol. 108(C), pages 49-64.
    14. José María Alonso-Meijide & Mikel Alvarez-Mozos & María Gloria Fiestras-Janeiro & Andrés Jiménez-Losada, 2016. "Some structural properties of a lattice of embedded coalitions," UB School of Economics Working Papers 2016/349, University of Barcelona School of Economics.
    15. Mikel ÁLVAREZ-MOZOS & Lars EHLERS, 2017. "Externalities and the Nucleolus," Cahiers de recherche 08-2017, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    16. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2010. "Dividends and weighted values in games with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 177-184, March.
    17. Cheng-Cheng Hu & Yi-You Yang, 2010. "An axiomatic characterization of a value for games in partition function form," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 1(4), pages 475-487, September.
    18. Dominik Karos, 2013. "Bargaining and Power," Working Papers 2013.63, Fondazione Eni Enrico Mattei.
    19. Álvarez-Mozos, Mikel & Ehlers, Lars, 2024. "Externalities and the (pre)nucleolus in cooperative games," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 10-15.
    20. M. Álvarez-Mozos & O. Tejada, 2015. "The Banzhaf value in the presence of externalities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(4), pages 781-805, April.
    21. Frank Huettner & André Casajus, 2019. "Marginality, dividends, and the value in games with externalities," ESMT Research Working Papers ESMT-19-01, ESMT European School of Management and Technology.
    22. 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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