Independence of dummy units and Shapley-Shubik methods in cost sharing problems with technological cooperation
In the discrete cost sharing model with technological cooperation (Bahel and Trudeau (IJGT, 2013)), we study the implications of a number of properties that strengthen the well-known Dummy axiom. Our main axiom, which requires that costless units of demands do not affect the cost shares, is used to characterize two classes of rules. Combined with anonymity and a specific stability property, this requirement picks up sharing methods that allow the full compensation of at most one technological contribution. If instead we strengthen the well-known Dummy property to include agents whose technological contribution is offset by the cost of their demand, we are left with an adaptation of the Shapley-Shubik method that treats technologies as private and rewards their contributions. Our results provide two interesting axiomatizations for the adaptations of the Shapley-Shubik rule to our framework.
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- Sprumont, Yves, 1998.
"Ordinal Cost Sharing,"
Journal of Economic Theory,
Elsevier, vol. 81(1), pages 126-162, July.
- 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 & Sprumont, Yves, 2003.
"On Demand Responsiveness in Additive Cost Sharing,"
2003-10, Rice University, Department of Economics.
- Yves Sprumont, 2008.
"Nearly serial sharing methods,"
International Journal of Game Theory,
Springer;Game Theory Society, vol. 37(2), pages 155-184, June.
- SPRUMONT, Yves, 2004. "Nearly Serial Sharing Methods," Cahiers de recherche 17-2004, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- SPRUMONT, Yves, 2004. "Nearly Serial Sharing Methods," Cahiers de recherche 2004-14, Universite de Montreal, Departement de sciences economiques.
- Eric Bahel & Christian Trudeau, 2011.
"A Discrete Cost Sharing Model with Technological Cooperation,"
e07-28, Virginia Polytechnic Institute and State University, Department of Economics.
- Eric Bahel & Christian Trudeau, 2013. "A discrete cost sharing model with technological cooperation," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 439-460, May.
- Moulin, Herve, 1995.
"On Additive Methods to Share Joint Costs,"
Mathematical Social Sciences,
Elsevier, vol. 30(1), pages 98-99, August.
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