Nearly serial sharing methods
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A group of agents participate in a cooperative enterprise producing a single good. Each participant contributes a particular type of input; output is nondecreasing in the input profile. How should it be shared? We analyze the implications of the axiom of Group Monotonicity: if a group of agents simultaneously decrease their input, not all of them should receive a bigger share of output. We show that in combination with other more familiar axioms, this condition pins down a very small class of methods, which we dub nearly serial.
KeywordsSurplus sharing Cost sharing Group monotonicity Serial method
JEL ClassificationC71 D63
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- Aumann RJ and Shapley L (1974). Values of nonatomic games. Princeton University Press, Princeton Google Scholar
- Billera L and Heath D (1982). Allocation of shared costs: a set of axioms yielding a unique procedure. Math Oper Res 7: 32–39 Google Scholar
- Moulin H (2002). Axiomatic cost and surplus sharing. In: Arrow, KJ, Sen, A and Suzumura, K (eds) Handbook of social choice and welfare, pp 289–357. Elsevier, Amsterdam Google Scholar
- Moulin H and Sprumont Y (2007). Fair allocation of production externalities: recent results. Rev Econ Polit. 17: 7–37 Google Scholar
- Shapley L (1953) A value for n-Person games. In: Kuhn HW, Tucker W (eds) Contributions to the theory of games II. Ann Math Stud, vol 28. Princeton University Press, New JerseyGoogle Scholar
- Shubik M (1962). Incentives, decentralized control, the assignment of joint costs and internal pricing. Manage Sci 8: 325–343 Google Scholar
- Sprumont Y (2007) Nearly serial sharing methods. mimeo. http://www.sceco.umontreal.ca/liste_personnel/sprumont.htm.