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Potentials in cooperative TU-games

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  • Calvo, Emilio
  • Santos, Juan Carlos

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File URL: http://www.sciencedirect.com/science/article/B6V88-3SX1KV4-D/2/90e3b1b9572115903e6ef855ba3f7049
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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 34 (1997)
Issue (Month): 2 (October)
Pages: 175-190

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Handle: RePEc:eee:matsoc:v:34:y:1997:i:2:p:175-190

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Web page: http://www.elsevier.com/locate/inca/505565

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References

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  1. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
  2. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
  3. Derks, Jean & Peters, Hans, 1993. "A Shapley Value for Games with Restricted Coalitions," International Journal of Game Theory, Springer, vol. 21(4), pages 351-60.
  4. Dutta, B. & Nouweland, C.G.A.M. van den & Tijs, S.H., 1998. "Link formation in cooperative situations," Open Access publications from Tilburg University urn:nbn:nl:ui:12-77112, Tilburg University.
  5. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
  6. Calvo, E. & Lasaga, J. & Nouweland, C.G.A.M. van den, 1995. "Probabilistic graphs in cooperative games: A model inspired by voting situations," Discussion Paper 1995-95, Tilburg University, Center for Economic Research.
  7. repec:fth:calaec:5-92 is not listed on IDEAS
  8. Gilles, R.P. & Owen, G. & Brink, J.R. van den, 1991. "Games with permission structures: The conjunctive approach," Discussion Paper 1991-14, Tilburg University, Center for Economic Research.
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Citations

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Cited by:
  1. Yan-An Hwang & Yu-Hsien Liao, 2009. "Equivalence theorem, consistency and axiomatizations of a multi-choice value," Computational Optimization and Applications, Springer, vol. 45(4), pages 597-613, December.
  2. Emilio Calvo, 2008. "Random marginal and random removal values," International Journal of Game Theory, Springer, vol. 37(4), pages 533-563, December.
  3. Yan-An Hwang & Yu-Hsien Liao, 2008. "Potentializability and consistency for multi-choice solutions," Spanish Economic Review, Springer, vol. 10(4), pages 289-301, December.
  4. Federico Valenciano & Annick Laruelle, 2003. "Potential, Value And Probability," Working Papers. Serie AD 2003-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  5. Carreras, Francesc & Freixas, Josep & Puente, Maria Albina, 2003. "Semivalues as power indices," European Journal of Operational Research, Elsevier, vol. 149(3), pages 676-687, September.
  6. Carreras, Francesc & Giménez, José Miguel, 2011. "Power and potential maps induced by any semivalue: Some algebraic properties and computation by multilinear extensions," European Journal of Operational Research, Elsevier, vol. 211(1), pages 148-159, May.
  7. Carreras, Francesc, 2005. "A decisiveness index for simple games," European Journal of Operational Research, Elsevier, vol. 163(2), pages 370-387, June.
  8. Calvo, Emilio & Santos, Juan Carlos, 2000. "A value for multichoice games," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 341-354, November.
  9. Annick Laruelle & Federico Valenciano, 2008. "Potential, value, and coalition formation," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 16(1), pages 73-89, July.
  10. Carreras, Francesc & Giménez, José Miguel, 2010. "Semivalues: power,potential and multilinear extensions," MPRA Paper 27620, University Library of Munich, Germany.
  11. Hwang, Yan-An & Liao, Yu-Hsien, 2008. "Potential approach and characterizations of a Shapley value in multi-choice games," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 321-335, November.
  12. Luigi Montrucchio & Patrizia Semeraro, 2006. "Refinement Derivatives and Values of Games," Carlo Alberto Notebooks 9, Collegio Carlo Alberto.
  13. Rafael Amer & José Giménez & Antonio Magaña, 2013. "Reconstructing a simple game from a uniparametric family of allocations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 21(3), pages 505-523, October.

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