Merging and Splitting in Cooperative Games: Some (Im-)Possibility Results
Solutions for cooperative games with side-payments can be manipulated by merging a coalition of players into a single player, or, conversely, splitting a player into a number of smaller players. This paper establishes some (im-)possibility results concerning merging- or splitting-proofness of core solutions of balanced and convex games.
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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.
- Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
- Jens Leth Hougaard & Bezalel Peleg & Lars Peter Østerdal, 2005.
"The Dutta-Ray Solution On The Class Of Convex Games: A Generalization And Monotonicity Properties,"
International Game Theory Review (IGTR),
World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 431-442.
- Jens Leth Hougaard & Bezalel Peleg & Lars Peter Østerdal, 2003. "The Dutta-Ray Solution on the Class of Convex Games: A Generalization and Monotonicity Properties," Discussion Papers 03-29, University of Copenhagen. Department of Economics.
- Ju, Biung-Ghi & Miyagawa, Eiichi & Sakai, Toyotaka, 2007. "Non-manipulable division rules in claim problems and generalizations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 1-26, January.
- 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;Game Theory Society, vol. 17(2), pages 89-99.
- Jens Leth Hougaard & Lars Thorlund-Petersen & Bezalel Peleg, 2001. "On the set of Lorenz-maximal imputations in the core of a balanced game," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 147-165.
- Maschler, Michael, 1976. "An advantage of the bargaining set over the core," Journal of Economic Theory, Elsevier, vol. 13(2), pages 184-192, October.
- Carreras, Francesc, 1996. "On the Existence and Formation of Partnerships," Games and Economic Behavior, Elsevier, vol. 12(1), pages 54-67, January.
- Andrew Postlewaite, 1974. "Disadvantageous Syndicates in Exchange Economies," Discussion Papers 105, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Derks, J. & Tijs, S.H., 2000. "On merge properties of the Shapley value," Other publications TiSEM f9a2d218-87e0-4dc7-af3f-a, Tilburg University, School of Economics and Management.
- Haviv, Moshe, 1995. "Consecutive amalgamations and an axiomatization of the Shapley value," Economics Letters, Elsevier, vol. 49(1), pages 7-11, July.
- Postlewaite, Andrew & Rosenthal, Robert W., 1974.
Journal of Economic Theory,
Elsevier, vol. 9(3), pages 324-326, November.
- Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
- Chun, Youngsub, 1988. "The proportional solution for rights problems," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 231-246, June.
- Hart, Sergiu, 1974. "Formation of cartels in large markets," Journal of Economic Theory, Elsevier, vol. 7(4), pages 453-466, April.
- Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-35, May.
- Biung-Ghi Ju, 2003. "Manipulation via merging and splitting in claims problems," Review of Economic Design, Springer;Society for Economic Design, vol. 8(2), pages 205-215, October.
- M. Angeles de Frutos, 1999. "Coalitional manipulations in a bankruptcy problem," Review of Economic Design, Springer;Society for Economic Design, vol. 4(3), pages 255-272.
- Haller, Hans, 1994. "Collusion Properties of Values," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(3), pages 261-81.
- Hougaard, Jens Leth & Østerdal, Lars Peter, 2010. "Monotonicity of social welfare optima," Games and Economic Behavior, Elsevier, vol. 70(2), pages 392-402, November.
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