IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-01377926.html
   My bibliography  Save this paper

Balanced collective contributions, the equal allocation of non-separable costs and application to data sharing games

Author

Listed:
  • Sylvain Béal

    (CRESE - Centre de REcherches sur les Stratégies Economiques (UR 3190) - UFC - Université de Franche-Comté - UBFC - Université Bourgogne Franche-Comté [COMUE])

  • Marc Deschamps

    (GREDEG - Groupe de Recherche en Droit, Economie et Gestion - UNS - Université Nice Sophia Antipolis (1965 - 2019) - CNRS - Centre National de la Recherche Scientifique - UniCA - Université Côte d'Azur, BETA - Bureau d'Économie Théorique et Appliquée - INRA - Institut National de la Recherche Agronomique - UNISTRA - Université de Strasbourg - UL - Université de Lorraine - CNRS - Centre National de la Recherche Scientifique)

  • Philippe Solal

    (GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique)

Abstract

The axiom of Balanced collective contributions is introduced as a collective variant of the axiom of Balanced contributions proposed by Myerson (1980). It requires that the identical average impact of the withdrawal of any agent from a game on the remaining population. It turns out that Balanced collective contributions and the classical axiom of Efficiency characterize the equal allocation of non-separable costs, an allocation rule which is extensively used in cost allocation problems and in accounting. For instance, the equal allocation of non-separable costs coincides with the Nucleolus on the class of data sharing games within the European REACH legislation. While our result does not hold on data sharing games, we provide comparable characterizations of the equal allocation of non-separable costs and the Shapley value.

Suggested Citation

  • Sylvain Béal & Marc Deschamps & Philippe Solal, 2014. "Balanced collective contributions, the equal allocation of non-separable costs and application to data sharing games," Working Papers hal-01377926, HAL.
    • Handle: RePEc:hal:wpaper:hal-01377926
    Note: View the original document on HAL open archive server: https://hal.science/hal-01377926
    as

    Download full text from publisher

    File URL: https://hal.science/hal-01377926/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. repec:cor:louvrp:-2481 is not listed on IDEAS
    2. Pierre Dehez & Daniela Tellone, 2013. "Data Games: Sharing Public Goods with Exclusion," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 15(4), pages 654-673, August.
    3. Sylvain Béal & Marc Deschamps, 2016. "On compensation schemes for data sharing within the European REACH legislation," European Journal of Law and Economics, Springer, vol. 41(1), pages 157-181, February.
    4. Theo Driessen & Anna Khmelnitskaya & Jordi Sales, 2012. "1-concave basis for TU games and the library game," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(3), pages 578-591, October.
    5. Herings, P. Jean Jacques & van der Laan, Gerard & Talman, Dolf, 2008. "The average tree solution for cycle-free graph games," Games and Economic Behavior, Elsevier, vol. 62(1), pages 77-92, January.
    6. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Sylvain Béal & Marc Deschamps, 2014. "On Compensation Schemes for Data Sharing within the European REACH Legislation," Post-Print halshs-01083135, HAL.
    8. Stef Tijs & Judith Timmer & Rodica Brânzei, 2006. "Compensations in Information Collecting Situations: A Cooperative Approach," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(2), pages 181-191, May.
    9. Sylvain Béal & Marc Deschamps, 2014. "On compensation schemes for data sharing within the european REACH legislation," Working Papers hal-01377925, HAL.
    10. William Thomson, 2001. "On the axiomatic method and its recent applications to game theory and resource allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(2), pages 327-386.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2016. "Axiomatic characterizations under players nullification," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 47-57.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nabila Arfaoui & Eric Brouillat & Maïder Saint Jean, 2015. "The Impact of REACH on Eco-Innovation: How Perception Misfits on Policy Stringency Matter," Working Papers hal-02147096, HAL.
    2. Pierre Dehez, 2013. "Cooperative provision of indivisible public goods," Theory and Decision, Springer, vol. 74(1), pages 13-29, January.
    3. Michel Grabisch, 2013. "The core of games on ordered structures and graphs," Annals of Operations Research, Springer, vol. 204(1), pages 33-64, April.
    4. Sylvain Béal & Marc Deschamps, 2016. "On compensation schemes for data sharing within the European REACH legislation," European Journal of Law and Economics, Springer, vol. 41(1), pages 157-181, February.
    5. Tobias Hiller, 2021. "Hierarchy and the size of a firm," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 68(3), pages 389-404, September.
    6. Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2018. "The proportional Shapley value and applications," Games and Economic Behavior, Elsevier, vol. 108(C), pages 93-112.
    7. Pierre Dehez, 2017. "On Harsanyi Dividends and Asymmetric Values," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 1-36, September.
    8. Dehez Pierre & Poukens Sophie, 2014. "The Shapley Value as a Guide to FRAND Licensing Agreements," Review of Law & Economics, De Gruyter, vol. 10(3), pages 265-284, November.
    9. Sylvain Béal & Eric Rémila & Philippe Solal, 2012. "Compensations in the Shapley value and the compensation solutions for graph games," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 157-178, February.
    10. repec:hal:pseose:hal-00803233 is not listed on IDEAS
    11. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Hao Sun, 2019. "Procedural and optimization implementation of the weighted ENSC value," Theory and Decision, Springer, vol. 87(2), pages 171-182, September.
    12. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.
    13. Jan Bok & Martin Černý, 2024. "1-convex extensions of incomplete cooperative games and the average value," Theory and Decision, Springer, vol. 96(2), pages 239-268, March.
    14. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Hao Sun, 2018. "Procedural and Optimization Implementation of the Weighted ENSC Value," GREDEG Working Papers 2018-20, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    15. Sylvain Béal & Eric Rémila & Philippe Solal, 2019. "Coalitional desirability and the equal division value," Theory and Decision, Springer, vol. 86(1), pages 95-106, February.
    16. Teresa Estañ & Natividad Llorca & Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "On how to allocate the fixed cost of transport systems," Annals of Operations Research, Springer, vol. 301(1), pages 81-105, June.
    17. Dehez, Pierre, 2021. "1-convex transferable utility games, a reappraisal," LIDAM Discussion Papers CORE 2021016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, March.
    19. Xun-Feng Hu & Gen-Jiu Xu & Deng-Feng Li, 2019. "The Egalitarian Efficient Extension of the Aumann–Drèze Value," Journal of Optimization Theory and Applications, Springer, vol. 181(3), pages 1033-1052, June.
    20. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Hao Sun, 2018. "Procedural and Optimization Implementation of the Weighted ENSC value," Working Papers halshs-01930832, HAL.
    21. Satoshi Masuya & Masahiro Inuiguchi, 2016. "A fundamental study for partially defined cooperative games," Fuzzy Optimization and Decision Making, Springer, vol. 15(3), pages 281-306, September.

    More about this item

    Keywords

    Balanced collective contributions; Balanced contributions; Equal allocation of non-separable costs; Shapley value; Data games;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • K32 - Law and Economics - - Other Substantive Areas of Law - - - Energy, Environmental, Health, and Safety Law
    • L65 - Industrial Organization - - Industry Studies: Manufacturing - - - Chemicals; Rubber; Drugs; Biotechnology; Plastics

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:hal-01377926. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.