IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v66y2013i1p44-50.html
   My bibliography  Save this article

How to share joint liability: A cooperative game approach

Author

Listed:
  • Dehez, Pierre
  • Ferey, Samuel

Abstract

Sharing damage that has been caused jointly by several tortfeasors is analyzed from a normative point of view. We show how damage can be apportioned on two distinct bases: causation and degree of misconduct. Our analysis uses the concept of potential damage on the basis of which we define a transferable utility game. Its core defines acceptable judgments as allocations of the total damage against which no group of tortfeasors can object. We show that weighted Shapley values define acceptable judgments and, vice versa, acceptable judgments reveal weights. Our paper illustrates how the cooperative approach may bring useful insights into legal questions. In particular, the Shapley value appears of special interest, being founded on axioms that are in line with fundamental principles of tort law.

Suggested Citation

  • Dehez, Pierre & Ferey, Samuel, 2013. "How to share joint liability: A cooperative game approach," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 44-50.
  • Handle: RePEc:eee:matsoc:v:66:y:2013:i:1:p:44-50
    DOI: 10.1016/j.mathsocsci.2013.02.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S016548961300019X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.mathsocsci.2013.02.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fleurbaey,Marc & Maniquet,François, 2011. "A Theory of Fairness and Social Welfare," Cambridge Books, Cambridge University Press, number 9780521715348, November.
    2. Monderer, Dov & Samet, Dov & Shapley, Lloyd S, 1992. "Weighted Values and the Core," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 27-39.
    3. Parisi Francesco & Singh Ram, 2010. "The Efficiency of Comparative Causation," Review of Law & Economics, De Gruyter, vol. 6(2), pages 219-245, September.
    4. Ambec, Stefan & Sprumont, Yves, 2002. "Sharing a River," Journal of Economic Theory, Elsevier, vol. 107(2), pages 453-462, December.
    5. Pierre Dehez, 2011. "Allocation Of Fixed Costs: Characterization Of The (Dual) Weighted Shapley Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 141-157.
    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. Duranton, Gilles & Martin, Philippe & Mayer, Thierry & Mayneris, Florian, 2010. "The Economics of Clusters: Lessons from the French Experience," OUP Catalogue, Oxford University Press, number 9780199592203.
    8. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    9. M. Maschler & B. Peleg & L. S. Shapley, 1979. "Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 303-338, November.
    10. repec:cor:louvrp:-2405 is not listed on IDEAS
    11. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
    12. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
    13. William Thomson, 2007. "Cost allocation and airport problems," RCER Working Papers 537, University of Rochester - Center for Economic Research (RCER).
    14. Gaertner,Wulf & Schokkaert,Erik, 2011. "Empirical Social Choice," Cambridge Books, Cambridge University Press, number 9781107013940, November.
    Full references (including those not matched with items on IDEAS)

    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. Samuel Ferey & Pierre Dehez, 2016. "Multiple Causation, Apportionment, and the Shapley Value," The Journal of Legal Studies, University of Chicago Press, vol. 45(1), pages 143-171.
    2. 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 1-20, November.
    3. Pierre Dehez, 2013. "Cooperative provision of indivisible public goods," Theory and Decision, Springer, vol. 74(1), pages 13-29, January.
    4. 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.
    5. Demuynck, Thomas & Rock, Bram De & Ginsburgh, Victor, 2016. "The transfer paradox in welfare space," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 1-4.
    6. Emilio Calvo, 2021. "Redistribution of tax resources: a cooperative game theory approach," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(4), pages 633-686, December.
    7. Dehez, Pierre, 2023. "Sharing a collective probability of success," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 122-127.
    8. 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).
    9. Dirk Van de gaer & Joost Vandenbossche & José Luis Figueroa, 2014. "Children's Health Opportunities and Project Evaluation: Mexico's Oportunidades Program," The World Bank Economic Review, World Bank, vol. 28(2), pages 282-310.
    10. Mendolicchio Concetta & Paolini Dimitri & Pietra Tito, 2012. "Asymmetric Information And Overeducation," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 12(1), pages 1-29, October.
    11. Claude, DASPREMONT & Rodolphe, DOS SANTOS FERREIRA & Jacques, THEPOT, 2007. "Hawks and doves in segmented markets : a formal approach to competitive aggressiveness," Discussion Papers (ECON - Département des Sciences Economiques) 2007039, Université catholique de Louvain, Département des Sciences Economiques.
    12. Bocart, Fabian Y.R.P. & Hafner, Christian M., 2015. "Fair Revaluation of Wine as an Investment," Journal of Wine Economics, Cambridge University Press, vol. 10(2), pages 190-203, November.
    13. Trudeau, Christian & Vidal-Puga, Juan, 2020. "Clique games: A family of games with coincidence between the nucleolus and the Shapley value," Mathematical Social Sciences, Elsevier, vol. 103(C), pages 8-14.
    14. Yokote, Koji & Funaki, Yukihiko & Kamijo, Yoshio, 2017. "Coincidence of the Shapley value with other solutions satisfying covariance," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 1-9.
    15. Caulier, Jean-François & Mauleon, Ana & Vannetelbosch, Vincent, 2015. "Allocation rules for coalitional network games," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 80-88.
    16. DEVOLDER, Olivier & GLINEUR, François & NESTEROV, Yurii, 2013. "First-order methods with inexact oracle: the strongly convex case," LIDAM Discussion Papers CORE 2013016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    17. Christophe Bravard & Sudipta Sarangi & ANA MAULEON & JOSE J. SEMPERE-MONERRIS & VINCENT VANNETELBOSCH, 2016. "Contractually Stable Alliances," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(2), pages 212-225, April.
    18. Thierry Bréchet & Carmen Camacho & Vladimir M. Veliov, 2012. "Adaptive Model-Predictive Climate Policies in a Multi-Country Setting," Documents de travail du Centre d'Economie de la Sorbonne 12029, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    19. NESTEROV, Yurii & NEMIROVSKI, Arkadi, 2012. "Finding the stationary states of Markov chains by iterative methods," LIDAM Discussion Papers CORE 2012058, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. Jacques Dreze, 2016. "Existence and multiplicity of temporary equilibria under nominal price rigidities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 279-298, June.

    More about this item

    JEL classification:

    • K13 - Law and Economics - - Basic Areas of Law - - - Tort Law and Product Liability; Forensic Economics
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    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:eee:matsoc:v:66:y:2013:i:1:p:44-50. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505565 .

    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.