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Cooperation by Asymmetric Agents in a Joint Project

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  • R. BRANZEI
  • E. INARRA
  • S. TIJS
  • J. M. ZARZUELO

Abstract

The object of study is cooperation in joint projects where agents may have different desired sophistication levels for the project and where some of the agents may have low budgets. In this context, questions concerning the optimal realizable sophistication level and the distribution of the related costs among the participants are tackled. A related cooperative game, the enterprise game, and a non-cooperative game, the contribution game, are both helpful. It turns out that there is an interesting relation between the core of the convex enterprise game and the set of strong Nash equilibria of the contribution game. Special attention is paid to a new rule inspired by the Baker-Thompson rule in the airport landing fee literature. For this rule, the project is split up in a sequence of subprojects where the involved participants pay amounts which are, roughly speaking, equal, but not more than their budgets allow. The resulting payoff distribution turns out to be a core element of the related enterprise game. Copyright 2005 Blackwell Publishing Inc..

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Bibliographic Info

Article provided by Association for Public Economic Theory in its journal Journal of Public Economic Theory.

Volume (Year): 7 (2005)
Issue (Month): 4 (October)
Pages: 623-640

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Handle: RePEc:bla:jpbect:v:7:y:2005:i:4:p:623-640

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  1. S.C. Littlechild & G.F. Thompson, 1977. "Aircraft Landing Fees: A Game Theory Approach," Bell Journal of Economics, The RAND Corporation, vol. 8(1), pages 186-204, Spring.
  2. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
  3. Moulin, Herve, 1994. "Serial Cost-Sharing of Excludable Public Goods," Review of Economic Studies, Wiley Blackwell, vol. 61(2), pages 305-25, April.
  4. Potters, Jos & Sudholter, Peter, 1999. "Airport problems and consistent allocation rules," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 83-102, July.
  5. Aadland, David & Kolpin, Van, 1998. "Shared irrigation costs: An empirical and axiomatic analysis," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 203-218, March.
  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.
  7. Littlechild, Stephen C, 1975. "Common Costs, Fixed Charges, Clubs and Games," Review of Economic Studies, Wiley Blackwell, vol. 42(1), pages 117-24, January.
  8. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-37, September.
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Cited by:
  1. Borm, P.E.M. & Hamers, H.J.M. & Hendrickx, R.L.P., 2001. "Operations research games: A survey," Open Access publications from Tilburg University urn:nbn:nl:ui:12-305110, Tilburg University.
  2. Tijs, S.H. & Brânzei, R., 2004. "Cases in Cooperation and Cutting the Cake," Discussion Paper 2004-108, Tilburg University, Center for Economic Research.

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