An Axiomatic Analysis of Joint Liability Problems with Rooted -Tree Structure
For joint liability problems concerning tort law, a legal compensation scheme may be based on lower and upper bounds of compensation for injury and on case-system consistency. Introducing several properties inspired from this observation, we analyze compensation schemes axiomatically under the situation where causation of the cumulative injury appears in multiple sequences of wrongful acts. The situation underlying the model is described by a rooted-tree graph. We show that there is a unique compensation scheme that satisfies three axioms, one about lower bounds of individual compensations, one about upper bounds of individual compensations, and one about case-system consistency. This unique compensation scheme is the nucleolus of an associated liability game.
|Date of creation:||31 May 2016|
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- René Brink & P. Herings & Gerard Laan & A. Talman, 2015.
"The Average Tree permission value for games with a permission tree,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 99-123, January.
- Rene van den Brink & Jean-Jacques Herings & Gerard van der Laan & Dolf Talman, 2012. "The Average Tree Permission Value for Games with a Permission Tree," Tinbergen Institute Discussion Papers 13-023/II, Tinbergen Institute.
- van den Brink, R. & van der Laan, G. & Herings, P.J.J. & Talman, A.J.J., 2015. "The Average Tree permission value for games with a permission tree," Other publications TiSEM 97042492-4b03-4e72-b88d-d, Tilburg University, School of Economics and Management.
- van den Brink, J.R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The average tree permission value for games with a permission tree," Research Memorandum 001, Maastricht University, Graduate School of Business and Economics (GSBE).
- van den Brink, R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The Average Tree Permission Value for Games with a Permission Tree," Discussion Paper 2013-001, Tilburg University, Center for Economic Research.
- Oishi, Takayuki & Nakayama, Mikio & Hokari, Toru & Funaki, Yukihiko, 2016. "Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 44-53.
- Gilles, Robert P & Owen, Guillermo & van den Brink, Rene, 1992. "Games with Permission Structures: The Conjunctive Approach," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(3), pages 277-293.
- Gilles, R.P. & Owen, G. & van den Brink, J.R., 1991. "Games with permission structures : The conjunctive approach," Discussion Paper 1991-14, Tilburg University, Center for Economic Research.
- Gilles, R.P. & Owen, G. & van den Brink, J.R., 1991. "Games with permission structures : The conjunctive approach," Research Memorandum FEW 473, Tilburg University, School of Economics and Management.
- Rodica Brânzei & Tamás Solymosi & Stef Tijs, 2005. "Strongly essential coalitions and the nucleolus of peer group games," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(3), pages 447-460, September.
- Brânzei, R. & Solymosi, T. & Tijs, S.H., 2003. "Strongly Essential Coalitions and the Nucleolus of Peer Group Games," Discussion Paper 2003-19, Tilburg University, Center for Economic Research.
- 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.
- Ferey, S. & Dehez, P., 2015. "Multiple causation, apportionment and the Shapley value," CORE Discussion Papers 2015016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Dehez, Pierre & Ferey, Samuel, 2013. "How to share joint liability: A cooperative game approach," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 44-50.
- DEHEZ, Pierre & FEREY, Samuel, "undated". "How to share joint liability: a cooperative game approach," CORE Discussion Papers RP 2473, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- Takayuki Oishi & Mikio Nakayama, 2009. "Anti-Dual Of Economic Coalitional Tu Games," The Japanese Economic Review, Japanese Economic Association, vol. 60(4), pages 560-566. Full references (including those not matched with items on IDEAS)
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