IDEAS home Printed from https://ideas.repec.org/a/ucp/jlstud/doi10.1086-685940.html
   My bibliography  Save this article

Multiple Causation, Apportionment, and the Shapley Value

Author

Listed:
  • Samuel Ferey
  • Pierre Dehez

Abstract

Multiple causation is one of the most intricate issues in contemporary tort law. Apportioning a loss suffered by a victim among multiple tortfeasors is indeed difficult, and courts do not always follow clear and consistent principles. Here, we argue that the axiomatic approach provided by the theory of cooperative games can be used to clarify that issue. We previously considered the question from a purely game-theoretic point of view. Here we analyze it from a legal perspective. We consider in particular the difficult case of successive causation to which we associate a general class of games called sequential liability games. We show that our model rationalizes the two-step process proposed by Restatement (Third) of Torts, apportionment by causation and apportionment by responsibility. More precisely, we show that the weighted Shapley value is the legal counterpart of this two-step process.

Suggested Citation

  • 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.
  • Handle: RePEc:ucp:jlstud:doi:10.1086/685940
    DOI: 10.1086/685940
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1086/685940
    Download Restriction: Access to the online full text or PDF requires a subscription.

    File URL: http://dx.doi.org/10.1086/685940
    Download Restriction: Access to the online full text or PDF requires a subscription.

    File URL: https://libkey.io/10.1086/685940?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. Dehez, Pierre & Ferey, Samuel, 2013. "How to share joint liability: A cooperative game approach," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 44-50.
    2. Hindriks, Jean & Myles, Gareth D., 2013. "Intermediate Public Economics," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262018691, December.
    3. 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.
    4. Parisi Francesco & Singh Ram, 2010. "The Efficiency of Comparative Causation," Review of Law & Economics, De Gruyter, vol. 6(2), pages 219-245, September.
    5. Allan M. Feldman & Ram Singh, 2009. "Comparative Vigilance," American Law and Economics Review, American Law and Economics Association, vol. 11(1), pages 134-161.
    6. 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.
    7. 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).
    8. Fujita,Masahisa & Thisse,Jacques-François, 2013. "Economics of Agglomeration," Cambridge Books, Cambridge University Press, number 9781107001411.
    9. Young Robert & Faure Michael & Fenn Paul, 2007. "Multiple Tortfeasors: An Economic Analysis," Review of Law & Economics, De Gruyter, vol. 3(1), pages 111-132, May.
    10. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    11. Singh, Ram, 2007. "‘Causation-consistent’ liability, economic efficiency and the law of torts," International Review of Law and Economics, Elsevier, vol. 27(2), pages 179-203.
    12. 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.
    13. HASSENE, Aissi & MAHJOUB, A. Ridha & McCORMICK, S. Thomas & QUEYRANNE, Maurice, 2015. "Strongly polynomial bounds for multiobjective and parametric global minimum cuts in graphs and hypergraphs," LIDAM Discussion Papers CORE 2015004, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Fleurbaey, Marc & Maniquet, François, 2015. "Optimal taxation theory and principles of fairness," LIDAM Discussion Papers CORE 2015005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. NESTEROV, Yurii, 2015. "Complexity bounds for primal-dual methods minimizing the model of objective function," LIDAM Discussion Papers CORE 2015003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    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. Dehez, Pierre, 2023. "Sharing a collective probability of success," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 122-127.
    2. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2023. "Axiomatic analysis of liability problems with rooted-tree networks in tort law," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 229-258, January.
    3. Julien Jacob & Eve-Angéline Lambert & Emmanuel Peterle, 2022. "Several liability with sequential care: an experiment," European Journal of Law and Economics, Springer, vol. 54(2), pages 283-326, October.
    4. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2016. "An Axiomatic Analysis of Joint Liability Problems with Rooted -Tree Structure," Tinbergen Institute Discussion Papers 16-042/II, Tinbergen Institute.
    5. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2018. "The Tort Law and the Nucleolus for Generalized Joint Liability Problems," Discussion Papers 37, Meisei University, School of Economics.
    6. Welter, Dominik & Napel, Stefan, 2016. "Responsibility-based allocation of cartel damages," VfS Annual Conference 2016 (Augsburg): Demographic Change 145886, Verein für Socialpolitik / German Economic Association.
    7. Jens Gudmundsson & Jens Leth Hougaard & Chiu Yu Ko, 2020. "Sharing sequentially triggered losses," IFRO Working Paper 2020/05, University of Copenhagen, Department of Food and Resource Economics.
    8. Kim, Jeong-Yoo & Lee, Seewoo, 2019. "Apportionment of liability by the stochastic Shapley value," International Review of Law and Economics, Elsevier, vol. 60(C).
    9. Eric Langlais & Maxime Charreire, 2020. "Should environment be a concern for competition policy when firms face environmental liability ?," EconomiX Working Papers 2020-25, University of Paris Nanterre, EconomiX.
    10. Lando, Henrik & Schweizer, Urs, 2021. "Causation and the incentives of multiple injurers," International Review of Law and Economics, Elsevier, vol. 68(C).
    11. Marie Obidzinski & Yves Oytana, 2022. "Advisory algorithms and liability rules," Working Papers hal-04222291, HAL.
    12. Maxime Charreire & Eric Langlais, 2021. "Should environment be a concern for competition policy when firms face environmental liability ?," Post-Print hal-03208691, HAL.
    13. Stefan Napel & Dominik Welter, 2021. "Simple Voting Games and Cartel Damage Proportioning," Games, MDPI, vol. 12(4), pages 1-18, October.
    14. 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.
    15. Charreire, Maxime & Langlais, Eric, 2021. "Should environment be a concern for competition policy when firms face environmental liability?," International Review of Law and Economics, Elsevier, vol. 67(C).
    16. Kevin Techer, 2023. "Hazardous waste transportation: a cost allocation analysis," Working Papers hal-04099139, HAL.
    17. Marie Obidzinski & Yves Oytana, 2022. "Prediction, human decision and liability rules, CRED Working paper No 2022-06," Working Papers hal-04034871, HAL.
    18. Mittelstaedt, Christian & Baumgärtner, Stefan, 2022. "Attribution of Collective Causal Responsibility to Individual Actors in a Stochastic System," VfS Annual Conference 2022 (Basel): Big Data in Economics 264051, Verein für Socialpolitik / German Economic Association.

    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. 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.
    2. Dehez, Pierre & Ferey, Samuel, 2013. "How to share joint liability: A cooperative game approach," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 44-50.
    3. 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.
    4. Godin, M. & Hindriks, J., 2015. "A Review of Critical Issues on Tax Design and Tax Administration in a Global Economy and Developing Countries," LIDAM Discussion Papers CORE 2015028, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Pestieau, Pierre & Ponthiere, Gregory, 2016. "Longevity Variations And The Welfare State," Journal of Demographic Economics, Cambridge University Press, vol. 82(2), pages 207-239, June.
    6. Yukihiro Nishimura & Pierre Pestieau, 2016. "Efficient taxation with differential risks of dependence and mortality," Economics Bulletin, AccessEcon, vol. 36(1), pages 52-57.
    7. Jean Hindriks & Yukihiro Nishimura, 2017. "Equilibrium leadership in tax competition models with capital ownership: a rejoinder," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 24(2), pages 338-349, April.
    8. Christian M. Hafner & Hans Manner & Léopold Simar, 2018. "The “wrong skewness” problem in stochastic frontier models: A new approach," Econometric Reviews, Taylor & Francis Journals, vol. 37(4), pages 380-400, April.
    9. Gabszewicz, J.J. & Marini, M. & Tarola, O., 2015. "Alliance Formation in a Vertically Differentiated Market," LIDAM Discussion Papers CORE 2015030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Queyranne, M. & Wolsey, L.A., 2015. "Tight MIP Formulations for Bounded Up/Down Times and Interval-Dependent Start-Ups," LIDAM Discussion Papers CORE 2015036, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Mouchart, M. & Wunsch, G. & Russo, F., 2015. "The issue of control in multivariate systems, A contribution of structural modelling," LIDAM Discussion Papers ISBA 2015019, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    12. Madani, M. & Van Vyve, M., 2015. "A MIP framework for non-convex uniform price day-ahead electricity auctions," LIDAM Discussion Papers CORE 2015017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2023. "Axiomatic analysis of liability problems with rooted-tree networks in tort law," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 229-258, January.
    14. Dufays, A. & Rombouts, V., 2015. "Sparse Change-Point Time Series Models," LIDAM Discussion Papers CORE 2015032, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. Balandraud, Eric & Queyranne, Maurice & Tardella, Fabio, 2015. "Largest minimally inversion-complete and pair-complete sets of permutations," LIDAM Discussion Papers CORE 2015009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. Mouchart, M. & Wunsch, G. & Russo, F., 2015. "The issue of control in multivariate systems A contribution of structural modelling," LIDAM Discussion Papers CORE 2015029, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    17. Vrins, F. & Jeanblanc, M., 2015. "The [phi]-Martingale," LIDAM Discussion Papers CORE 2015022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. Lando, Henrik & Schweizer, Urs, 2021. "Causation and the incentives of multiple injurers," International Review of Law and Economics, Elsevier, vol. 68(C).
    19. Tamas Solymosi & Balazs Sziklai, 2015. "Universal Characterization Sets for the Nucleolus in Balanced Games," CERS-IE WORKING PAPERS 1512, Institute of Economics, Centre for Economic and Regional Studies.
    20. Meinhardt, Holger Ingmar, 2021. "Disentangle the Florentine Families Network by the Pre-Kernel," MPRA Paper 106482, University Library of Munich, Germany.

    More about this item

    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:ucp:jlstud:doi:10.1086/685940. 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: Journals Division (email available below). General contact details of provider: https://www.journals.uchicago.edu/JLS .

    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.