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A New Class of Welfare Maximizing Stable Sharing Rules for Partition Function Games with Externalities

  • Eyckmans, Johan
  • Finus, Michael
  • Mallozziy, Lina

We propose a class of sharing rules for the distribution of the gains from cooperation for partition function games with externalities. We show that this class of sharing rules is characterized by three axioms: coalitional efficiency, additivity and anonimity which are adapted to the context of partition function games. The sharing rules stabilize, in the sense of d'Aspremont et al. (1983), the coalition which generates the highest global welfare among the set of potentially internally stable coalitions. The new class of sharing rules is particularly powerful for economic problems that are characterized by positive externalities from coalition formation (outsiders benefit from the expansion of the coalition) and which therefore often suffer from free-riding.

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Paper provided by University of Bath, Department of Economics in its series Department of Economics Working Papers with number 32513.

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Date of creation: Oct 2012
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Handle: RePEc:eid:wpaper:32513
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  1. Matthew McGinty, 2007. "International environmental agreements among asymmetric nations," Oxford Economic Papers, Oxford University Press, vol. 59(1), pages 45-62, January.
  2. Hans-Peter Weikard & Michael Finus & Juan-Carlos Altamirano-Cabrera, 2006. "The impact of surplus sharing on the stability of international climate agreements," Oxford Economic Papers, Oxford University Press, vol. 58(2), pages 209-232, April.
  3. Sang-Seung, Yi, 1996. "Endogenous formation of customs unions under imperfect competition: open regionalism is good," Journal of International Economics, Elsevier, vol. 41(1-2), pages 153-177, August.
  4. Debraj Ray & Rajiv Vohra, 2001. "Coalitional Power and Public Goods," Journal of Political Economy, University of Chicago Press, vol. 109(6), pages 1355-1384, December.
  5. Kolpin, Van, 1996. "Multi-Product Serial Cost Sharing: An Incompatibility with the Additivity Axiom," Journal of Economic Theory, Elsevier, vol. 69(1), pages 227-233, April.
  6. Michel Grabisch & Yukihiko Funaki, 2008. "A coalition formation value for games with externalities," Documents de travail du Centre d'Economie de la Sorbonne b08076, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
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  8. Fuentes Albero Cristina & Rubio Jorge Santiago J., 2008. "Can International Environmental Cooperation Be Bought?," Working Papers 2010101, Fundacion BBVA / BBVA Foundation.
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  10. Salant, Stephen W & Switzer, Sheldon & Reynolds, Robert J, 1983. "Losses from Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, MIT Press, vol. 98(2), pages 185-99, May.
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  12. Claude d'Aspremont & Alexis Jacquemin & Jean Jaskold Gabszewicz & John A. Weymark, 1983. "On the Stability of Collusive Price Leadership," Canadian Journal of Economics, Canadian Economics Association, vol. 16(1), pages 17-25, February.
  13. Hans-Peter Weikard, 2009. "Cartel Stability Under An Optimal Sharing Rule," Manchester School, University of Manchester, vol. 77(5), pages 575-593, 09.
  14. Poyago-Theotoky, Joanna, 1995. "Equilibrium and Optimal Size of a Research Joint Venture in an Oligopoly with Spillovers," Journal of Industrial Economics, Wiley Blackwell, vol. 43(2), pages 209-26, June.
  15. Geoffroy de Clippel & Roberto Serrano, 2007. "Marginal contributions and externalities in the value," Working Papers 2007-04, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
  16. Yi, Sang-Seung & Shin, Hyukseung, 2000. "Endogenous formation of research coalitions with spillovers," International Journal of Industrial Organization, Elsevier, vol. 18(2), pages 229-256, February.
  17. Marion Kohler, 1999. "Coalition formation in international monetary policy games," Bank of England working papers 92, Bank of England.
  18. repec:cup:cbooks:9780521542548 is not listed on IDEAS
  19. Maarten F. Cornet, 2003. "Partition function bargaining with public demands," Economic Theory, Springer, vol. 22(4), pages 845-862, November.
  20. René Brink & Yukihiko Funaki, 2009. "Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games," Theory and Decision, Springer, vol. 67(3), pages 303-340, September.
  21. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
  22. Bolger, E M, 1989. "A Set of Axioms for a Value for Partition Function Games," International Journal of Game Theory, Springer, vol. 18(1), pages 37-44.
  23. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2007. "Sharing the surplus: An extension of the Shapley value for environments with externalities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 339-356, July.
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