On Demand Responsiveness in Additive Cost Sharing
We propose two new axioms of demand responsiveness for additive cost sharing with variable demands. Group Monotonicity requires that if a group of agents increase their demands, not all of them pay less. Solidarity says that if agent i demands more, j should not pay more if k pays less. We explore their impact on the so-called full responsibility theory, postulating the standard Separability axiom, and on the partial responsibility theory postulating Strong Ranking, the requirement that the ranking of cost shares should never contradict that of demands. Under Separability, neither the Aumann-Shapley nor the Shapley-Shubik method is group monotonic; on the other hand, convex combinations of "nearby" fixed-path methods are group-monotonic: the subsidy-free serial method is the main example. No separable method meets Solidarity, yet restricting the axiom to submodular cost functions and adding the standard Monotonicity characterizes the fixed-flow methods, containing the Shapley-Shubik and serial methods. The combination of Strong Ranking (partial responsibility), Solidarity and Monotonicity characterizes the quasi-proportional methods, under which cost shares are proportional to 'rescaled' demands.
|Date of creation:||Oct 2003|
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- Sprumont, Y., 1996.
"Ordinal Cost Sharing,"
Cahiers de recherche
9624, Universite de Montreal, Departement de sciences economiques.
- Antonio Villar Notario & Carmen Herrero Blanco & Michael Maschler, 1996.
"Individual rights and collective responsibility: The rights-egalitarian solution,"
Working Papers. Serie AD
1996-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Herrero, Carmen & Maschler, Michael & Villar, Antonio, 1999. "Individual rights and collective responsibility: the rights-egalitarian solution," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 59-77, January.
- Moulin, Herve & Sprumont, Yves, 2006.
"Responsibility and cross-subsidization in cost sharing,"
Games and Economic Behavior,
Elsevier, vol. 55(1), pages 152-188, April.
- Moulin, Herve & Sprumont, Yves, 2002. "Responsibility and Cross-Subsidization in Cost Sharing," Working Papers 2002-05, Rice University, Department of Economics.
- Hervé MOULIN & Yves SPRUMONT, 2002. "Responsibility And Cross-Subsidization In Cost Sharing," Cahiers de recherche 19-2002, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- MOULIN, Hervé & SPRUMONT, Yves., 2002. "Responsibility and Cross-Subsidization in Cost Sharing," Cahiers de recherche 2002-19, Universite de Montreal, Departement de sciences economiques.
- William Thomson, 1999. "Welfare-domination under preference-replacement: A survey and open questions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(3), pages 373-394.
- Martin Shubik, 1961.
"Incentives, Decentralized Control, the Assignment of Joint Costs and Internal Pricing,"
Cowles Foundation Discussion Papers
112, Cowles Foundation for Research in Economics, Yale University.
- Martin Shubik, 1962. "Incentives, Decentralized Control, the Assignment of Joint Costs and Internal Pricing," Management Science, INFORMS, vol. 8(3), pages 325-343, April.
- Moulin, Herve, 1995.
"On Additive Methods to Share Joint Costs,"
Mathematical Social Sciences,
Elsevier, vol. 30(1), pages 98-99, August.
- Moulin, Herve & Sprumont, Yves, 2003.
"On Demand Responsiveness in Additive Cost Sharing,"
2003-10, Rice University, Department of Economics.
- Sprumont, Yves, 2000.
"Coherent Cost-Sharing Rules,"
Games and Economic Behavior,
Elsevier, vol. 33(1), pages 126-144, October.
- Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-1037, September.
- Wang, YunTong, 1999. "The additivity and dummy axioms in the discrete cost sharing model," Economics Letters, Elsevier, vol. 64(2), pages 187-192, August.
- Calvo, Emilio & Santos, Juan Carlos, 2000. "A value for multichoice games," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 341-354, November.
- Eric Friedman & Moulin, Herve, 1995.
"Three Methods to Share Joint Costs or Surplus,"
95-38, Duke University, Department of Economics.
- Moulin Herve & Shenker Scott, 1994. "Average Cost Pricing versus Serial Cost Sharing: An Axiomatic Comparison," Journal of Economic Theory, Elsevier, vol. 64(1), pages 178-201, October.
- Moulin, Herve & Stong, Richard, 2001. "Fair Queuing and Other Probabilistic Allocation Methods," Working Papers 2000-09, Rice University, Department of Economics.
- Sprumont, Yves & Zhou, Lin, 1999. "Pazner-Schmeidler rules in large societies," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 321-339, April.
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