Forming and Dissolving Partnerships in Cooperative Game Situations
AbstractA group of players in a cooperative game are partners (e.g., as in the form of a union or a joint ownership) if the prospects for cooperation are restricted such that cooperation with players outside the partnership requires the accept of all the partners. The formation of such partnerships through binding agreements may change the game implying that players could have incentives to manipulate a game by forming or dissolving partnerships. The present paper seeks to explore the existence of allocation rules that are immune to this type of manipulation. An allocation rule that distributes the worth of the grand coalition among players, is called partnership formation-proof if it ensures that it is never jointly profitable for any group of players to form a partnership and partnership dissolution-proof if no group can ever profit from dissolving a partnership. The paper provides results on the existence of such allocation rules for general classes of games as well as more specific results concerning well known allocation rules.
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Bibliographic InfoPaper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 10-24.
Length: 28 pages
Date of creation: Jun 2009
Date of revision: Sep 2010
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More information through EDIRC
cooperative games; partnerships; partnership formation-proof; partnership dissolution-proof;
Other versions of this item:
- Trine Tornøe Platz & Lars Peter Østerdal, 2013. "Forming and Dissolving Partnerships in Cooperative Game Situations," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 15(2), pages 208-228, 04.
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Patrick Legros, 1987.
"Disadvantageous syndicates and stable cartels: the case of the nucleolus,"
ULB Institutional Repository
2013/7046, ULB -- Universite Libre de Bruxelles.
- Legros, Patrick, 1987. "Disadvantageous syndicates and stable cartels: The case of the nucleolus," Journal of Economic Theory, Elsevier, vol. 42(1), pages 30-49, June.
- Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June.
- Meinhardt, Holger, 1999. " Common Pool Games Are Convex Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(2), pages 247-70.
- Charnes, A. & Littlechild, S. C., 1975. "On the formation of unions in n-person games," Journal of Economic Theory, Elsevier, vol. 10(3), pages 386-402, June.
- Carreras, Francesc & Llongueras, Maria Dolors & Puente, María Albina, 2009. "Partnership formation and binomial semivalues," European Journal of Operational Research, Elsevier, vol. 192(2), pages 487-499, January.
- Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-35, May.
- Zhao, Jingang, 1999. "A necessary and sufficient condition for the convexity in oligopoly games," Mathematical Social Sciences, Elsevier, vol. 37(2), pages 189-204, March.
- Derks, J. & Tijs, S.H., 2000. "On merge properties of the Shapley value," Open Access publications from Tilburg University urn:nbn:nl:ui:12-86382, Tilburg University.
- Ilya Segal, 2003. "Collusion, Exclusion, and Inclusion in Random-Order Bargaining," Review of Economic Studies, Oxford University Press, vol. 70(2), pages 439-460.
- Lehrer, E, 1988. "An Axiomatization of the Banzhaf Value," International Journal of Game Theory, Springer, vol. 17(2), pages 89-99.
- Curiel, I. & Pederzoli, G. & Tijs, S.H., 1989. "Sequencing games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154243, Tilburg University.
- Driessen, Theo S.H. & Meinhardt, Holger I., 2005. "Convexity of oligopoly games without transferable technologies," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 102-126, July.
- Postlewaite, Andrew & Rosenthal, Robert W., 1974.
Journal of Economic Theory,
Elsevier, vol. 9(3), pages 324-326, November.
- Aumann, Robert J., 1973. "Disadvantageous monopolies," Journal of Economic Theory, Elsevier, vol. 6(1), pages 1-11, February.
- Andrew Postlewaite, 1974. "Disadvantageous Syndicates in Exchange Economies," Discussion Papers 105, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Shapley, Lloyd S & Shubik, Martin, 1969. "On the Core of an Economic System with Externalities," American Economic Review, American Economic Association, vol. 59(4), pages 678-84, Part I Se.
- Haller, Hans, 1994. "Collusion Properties of Values," International Journal of Game Theory, Springer, vol. 23(3), pages 261-81.
- Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
- Haviv, Moshe, 1995. "Consecutive amalgamations and an axiomatization of the Shapley value," Economics Letters, Elsevier, vol. 49(1), pages 7-11, July.
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