Béal, Sylvain and Rémila, Eric and Solal, Philippe (2012): The sequential equal surplus division for sharing a river.
Download (316Kb) | Preview
We introduce the sequential equal surplus division for sharing the total welfare resulting form the cooperation of agents along a river with a delta. This allocation rule can be seen as a generalization of the contribution vectors introduced by Ju, Borm and Ruys (2007) in the context of TU-games. We provide two axiomatic characterizations of the sequential equal surplus division.
|Item Type:||MPRA Paper|
|Original Title:||The sequential equal surplus division for sharing a river|
|Keywords:||Amalgamation ; Consistency ; Fairness ; Sequential Equal Surplus Division ; Sharing a river|
|Subjects:||D - Microeconomics > D6 - Welfare Economics > D63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games
D - Microeconomics > D7 - Analysis of Collective Decision-Making > D74 - Conflict; Conflict Resolution; Alliances
Q - Agricultural and Natural Resource Economics; Environmental and Ecological Economics > Q5 - Environmental Economics > Q56 - Environment and Development; Environment and Trade; Sustainability; Environmental Accounts and Accounting; Environmental Equity; Population Growth
Q - Agricultural and Natural Resource Economics; Environmental and Ecological Economics > Q2 - Renewable Resources and Conservation > Q25 - Water
|Depositing User:||Sylvain Béal|
|Date Deposited:||14. Mar 2012 12:12|
|Last Modified:||20. Feb 2013 01:12|
Aadland, D, and Kolpin, Van (1998) Shared irrigation costs: An empirical and axiomatic analysis. Mathematical Social Sciences 35:203-218.
Albizuri, M.J. (2001) An axiomatization of the modified Banzhaf Coleman index. International Journal of Game Theory 30:167-176.
Albizuri, M. J., and Aurrekoetxea J. (2006) Coalition configurations and the Banzhaf index. Social Choice and Welfare 26:571-596.
Ambec, S. and Sprumont, Y. (2002) Sharing a river. Journal of Economic Theory 107:453-462.
Ansink, E. and Weikard, H.-P. (2012) Sequential sharing rules for river sharing problems. Social Choice and Welfare 38:187-210.
Béal, S., Rémila, E. and Solal, P. (2010) Rooted-tree Solutions for Tree Games. European Journal of Operational Research 203:404-408.
Béal, S., Rémila, E. and Solal, P. (2012) Weighted component fairness for forest games. Forthcoming in Mathematical Social Sciences.
van den Brink, R. (2009) Comparable axiomatizations of the Myerson value, the restricted Banzhaf value, hierarchical outcomes and the average tree solution for cycle-free graph restricted games. Tinbergen Institute Research Paper, 2009-108/1, VU University of Amsterdam and Tinbergen Institute.
van den Brink, R., van der Laan, G. and Moes, N. (2012) Fair agreements for sharing international rivers with multiple springs and externalities. Forthcoming in Journal of Environmental Economics and Management.
van den Brink, R., van der Laan, G. and Vasil'ev, V. (2007) Component efficient solutions in line-graph games with applications. Economic Theory 33:349-364.
Demange, G. (2004) On group stability in hierarchies and networks. Journal of Political Economy 112:754-778.
Haller, H. (1994) Collusion properties of values. International Journal of Game Theory 23:261-281.
Herings, J.J, van der Laan, G., and Talman, D. (2008) The average tree solution for cycle-free graph games. Games and Economic Behavior 62:77-92.
Ju, Y., Borm, P. and Ruys, P. (2007) The consensus value: a new solution concept for cooperative games. Social Choice and Welfare 28:685-703.
Khmelnitskaya, A.B. (2010) Values for rooted-tree and sink-tree digraph games and sharing a river. Theory and Decision 69:657-669.
Khmelnitskaya, A.B. and Talman, D. (2010) Tree-type values for cycle-free directed graph games. CentER Discussion Paper 2010-113, Tilburg University, The Netherlands.
Kilgour, D.M., and Dinar, D. (1995) Are stable agreements for sharing international river water now possible? Policy Research Working Paper 1474, World Bank, Washington.
Lehrer, E. (1988) An axiomatization of the Banzhaf value. International Journal of Game Theory 17:89-99.
Myerson, R. (1977) Graphs and cooperation in games. Mathematics of Operations Research 2:225-229.
Shapley, L.S. (1953) A value for n-person games, in Kuhn, H.W. and Tucker, A.W. (eds.), Contributions to the Theory of Games II, Annals of Mathematics Studies, Vol.28, Princeton University Press, Princeton, 307-317.
Thomson W. (2011) Consistency and its converse: an introduction. Review of Economic Design 15:257-291.
Wolf, A.T. (1999) Criteria for equitable allocations: the heart of international water conflict. National Resources Forum 23:3-30.