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Cooperation by Asymmetric Agents in a Joint Project

Author

Listed:
  • Brânzei, R.

    (Tilburg University, School of Economics and Management)

  • Inarra, E.
  • Tijs, S.H.

    (Tilburg University, School of Economics and Management)

  • Zarzuelo, J.

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.
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Suggested Citation

  • Brânzei, R. & Inarra, E. & Tijs, S.H. & Zarzuelo, J., 2002. "Cooperation by Asymmetric Agents in a Joint Project," Other publications TiSEM ca06979b-f8a0-4bb7-8fd2-6, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:ca06979b-f8a0-4bb7-8fd2-68c275b18007
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    References listed on IDEAS

    as
    1. Potters, Jos & Sudholter, Peter, 1999. "Airport problems and consistent allocation rules," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 83-102, July.
    2. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Aadland, David & Kolpin, Van, 1998. "Shared irrigation costs: An empirical and axiomatic analysis," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 203-218, March.
    4. Driessen, T.S.H. & Tijs, S.H., 1985. "The t-value, the core and semiconvex games," Other publications TiSEM 016b6b5d-a476-44ca-bd05-7, Tilburg University, School of Economics and Management.
    5. 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.
    6. Peyton Young, H., 1998. "Cost allocation, demand revelation, and core implementation," Mathematical Social Sciences, Elsevier, vol. 36(3), pages 213-228, December.
    7. 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.
    8. S. C. Littlechild, 1975. "Common Costs, Fixed Charges, Clubs and Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(1), pages 117-124.
    9. Hervé Moulin, 1994. "Serial Cost-Sharing of Excludable Public Goods," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(2), pages 305-325.
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    Cited by:

    1. Peter Borm & Herbert Hamers & Ruud Hendrickx, 2001. "Operations research games: A survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 9(2), pages 139-199, December.
    2. Ryusuke Shinohara, 2014. "Participation and demand levels for a joint project," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 925-952, December.
    3. Tijs, S.H. & Brânzei, R., 2004. "Cases in Cooperation and Cutting the Cake," Discussion Paper 2004-108, Tilburg University, Center for Economic Research.
    4. Tijs, S.H. & Brânzei, R., 2004. "Cases in Cooperation and Cutting the Cake," Other publications TiSEM f9573808-10b5-4a9e-a835-2, Tilburg University, School of Economics and Management.
    5. Brânzei, R. & Inarra, E. & Tijs, S.H. & Zarzuelo, J., 2003. "An Algorithm for the Nucleolus of Airport Profit Problems," Other publications TiSEM 51710630-9fcc-49ea-ba26-b, Tilburg University, School of Economics and Management.

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