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Cost Sharing, Differential Games, and the Moulin-Shenker Rule

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Author Info
Koster, M. () (Universiteit van Amsterdam)

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Abstract

The Moulin-Shenker rule (Sprumont (1998)) is a nonlinear solution concept for solving heterogeneous cost sharing problems. The first part of the paper shows an axiomatic characterization of this solution using bounds on cost shares and consistency. The second part is devoted to differential games for heterogeneous production problems. It is shown for 2-player games that by an appropriate choice of the game dynamics there is essentially a unique Markov perfect Nash equilibrium. An axiomatic analysis follows for the appropriate game dynamics, which leads in turn to a strategic characterization of the Moulin-Shenker rule.

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File URL: http://www1.fee.uva.nl/cendef/publications/papers/moulinshenkerrule.pdf
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Paper provided by Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance in its series CeNDEF Working Papers with number 05-07.

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Date of creation: 2005
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Handle: RePEc:ams:ndfwpp:05-07

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  1. Moulin, Herve, 1996. "Cost Sharing under Increasing Returns: A Comparison of Simple Mechanisms," Games and Economic Behavior, Elsevier, vol. 13(2), pages 225-251, April. [Downloadable!] (restricted)
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  2. Friedman, Eric & Moulin, Herve, 1999. "Three Methods to Share Joint Costs or Surplus," Journal of Economic Theory, Elsevier, vol. 87(2), pages 275-312, August. [Downloadable!] (restricted)
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  3. Sprumont, Yves, 1998. "Ordinal Cost Sharing," Journal of Economic Theory, Elsevier, vol. 81(1), pages 126-162, July. [Downloadable!] (restricted)
  4. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-37, September. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Young, H.P., 1994. "Cost allocation," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 34, pages 1193-1235 Elsevier. [Downloadable!] (restricted)
  7. Moulin, Herve, 2002. "Axiomatic cost and surplus sharing," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 6, pages 289-357 Elsevier. [Downloadable!] (restricted)
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  8. Martin Shubik, 1961. "Incentives, Decentralized Control, the Assignment of Joint Costs and Internal Pricing," Cowles Foundation Discussion Papers 112, Cowles Foundation, Yale University. [Downloadable!]
  9. Maniquet, Francois, 1996. "Allocation Rules for a Commonly Owned Technology: The Average Cost Lower Bound," Journal of Economic Theory, Elsevier, vol. 69(2), pages 490-507, May. [Downloadable!] (restricted)
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