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Bargaining and Power

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  • Dominik Karos

    (Department of Economics and Statistics, Saarland University)

Abstract

Given a simple game, a power configuration specifies the power of each player in each winning coalition. We introduce a new power configuration which takes into account bargaining among players in coalitions. We show that under very weak conditions on a bargaining solution there is a power configuration which is stable with respect to renegotiations. We further show that given this power configuration there is a coalition which is both internally and Nash stable. We consider two different bargaining solutions on apex games and show under which conditions there are core stable coalitions. Finally, we investigate how infeasible coalition might affect the outcome and apply our model to the German parliament.

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Bibliographic Info

Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2013.63.

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Date of creation: Jun 2013
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Handle: RePEc:fem:femwpa:2013.63

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Keywords: Coalition Formation; Power; Bargaining;

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References

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  1. Dinko Dimitrov & Claus-Jochen Haake, 2006. "Government versus Opposition: Who Should be Who in the 16th German Bundestag?," Journal of Economics, Springer, vol. 89(2), pages 115-128, November.
  2. DUTTA, Bhaskar & EHLERS, Lars & KAR, Anirban, 2008. "Externalities, Potential, Value and Consistency," Cahiers de recherche 2008-06, Universite de Montreal, Departement de sciences economiques.
  3. Ehud Kalai, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Discussion Papers 179, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. Dinko Dimitrov & Claus-Jochen Haake, 2006. "A note on the paradox of smaller coalitions," Working Papers 386, Bielefeld University, Center for Mathematical Economics.
  5. Chun, Y. & Thomson, W., 1989. "Bargaining Problems With Claims," RCER Working Papers 189, University of Rochester - Center for Economic Research (RCER).
  6. 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.
  7. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  8. Dreze, J H & Greenberg, J, 1980. "Hedonic Coalitions: Optimality and Stability," Econometrica, Econometric Society, vol. 48(4), pages 987-1003, May.
  9. Igal Milchtaich & Eyal Winter, 2000. "Stability and Segregation in Group Formation," Discussion Paper Series dp263, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  10. Dominik Karos, 2012. "Coalition Formation in Generalized Apex Games," Working Papers 2012.38, Fondazione Eni Enrico Mattei.
  11. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  12. Dimitrov, Dinko & Haake, Claus-Jochen, 2008. "Stable governments and the semistrict core," Games and Economic Behavior, Elsevier, vol. 62(2), pages 460-475, March.
  13. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
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