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The demand bargaining set: general characterization and application to majority games

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  • Morelli, Massimo
  • Montero, Maria

Abstract

The cooperative solution concept introduced here, the demand bargaining set, contains the core and is included in the Zhou bargaining set, eliminating the “dominated” coalition structures. The demand vectors belonging to the demand bargaining set are self-stable. In the class of constant-sum homogeneous weighted majority games the demand bargaining set is non-empty and predicts a unique demand vector, namely a proportional distribution within minimal winning coalitions. The noncooperative implementation of the demand bargaining set is obtained for all the games that satisfy the one-stage property.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 42 (2003)
Issue (Month): 1 (January)
Pages: 137-155

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Handle: RePEc:eee:gamebe:v:42:y:2003:i:1:p:137-155

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Web page: http://www.elsevier.com/locate/inca/622836

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References

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  1. Massimo Morelli & Maria Montero, 2001. "The Stable Demand Set General Characterization and Application to Majority Games," Working Papers 01-03, Ohio State University, Department of Economics.
  2. Perez-Castrillo, David & Wettstein, David, 2000. "Implementation of Bargaining Sets via Simple Mechanisms," Games and Economic Behavior, Elsevier, vol. 31(1), pages 106-120, April.
  3. Zhou Lin, 1994. "A New Bargaining Set of an N-Person Game and Endogenous Coalition Formation," Games and Economic Behavior, Elsevier, vol. 6(3), pages 512-526, May.
  4. Peter Sudhölter & Jos A. M. Potters, 2001. "The semireactive bargaining set of a cooperative game," International Journal of Game Theory, Springer, vol. 30(1), pages 117-139.
  5. Daniel Granot & Michael Maschler, 1997. "The Reactive Bargaining Set: Structure, Dynamics and Extension to NTU Games," International Journal of Game Theory, Springer, vol. 26(1), pages 75-95.
  6. Maschler, Michael, 1992. "The bargaining set, kernel, and nucleolus," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 18, pages 591-667 Elsevier.
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Citations

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Cited by:
  1. Lazarova, E.A. & Borm, P.E.M. & Montero, M.P. & Reijnierse, J.H., 2006. "A Bargaining Set Based on External and Internal Stability and Endogenous Coalition Formation," Discussion Paper 2006-16, Tilburg University, Center for Economic Research.
  2. Montero, M.P., 1999. "Noncooperative Bargaining in Apex Games and the Kernel," Discussion Paper 1999-61, Tilburg University, Center for Economic Research.
  3. Emiliya Lazarova & Peter Borm & Maria Montero & Hans Reijnierse, 2011. "A bargaining set for monotonic simple games based on external and internal stability," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 19(1), pages 54-66, July.
  4. Roberto Serrano, 2004. "Fifty Years of the Nash Program, 1953-2003," Working Papers 2004-20, Brown University, Department of Economics.
  5. Montero, Maria & Vidal-Puga, Juan J., 2011. "Demand bargaining and proportional payoffs in majority games," Games and Economic Behavior, Elsevier, vol. 71(2), pages 395-408, March.
  6. Frechette, Guillaume & Kagel, John H. & Morelli, Massimo, 2005. "Nominal bargaining power, selection protocol, and discounting in legislative bargaining," Journal of Public Economics, Elsevier, vol. 89(8), pages 1497-1517, August.
  7. Maria Montero & Juan Vidal-Puga, 2005. "Demand commitment in legislative bargaining," Game Theory and Information 0511005, EconWPA.
  8. Emiliya Lazarova & Peter Borm & Bas Velzen, 2011. "Coalitional games and contracts based on individual deviations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 19(2), pages 507-520, December.
  9. Joosung Lee, 2013. "Bargaining and Buyout," 2013 Papers ple701, Job Market Papers.
  10. Guillaume Fréchette & John H. Kagel & Massimo Morelli, 2005. "Behavioral Identification in Coalitional Bargaining: An Experimental Analysis of Demand Bargaining and Alternating Offers," Econometrica, Econometric Society, vol. 73(6), pages 1893-1937, November.

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