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Potentials in cooperative TU-games

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  • Calvo, Emilio
  • Santos, Juan Carlos

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  • Calvo, Emilio & Santos, Juan Carlos, 1997. "Potentials in cooperative TU-games," Mathematical Social Sciences, Elsevier, vol. 34(2), pages 175-190, October.
  • Handle: RePEc:eee:matsoc:v:34:y:1997:i:2:p:175-190
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    References listed on IDEAS

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    1. Calvo, E. & Lasaga, J. & van den Nouweland, C.G.A.M., 1995. "Probabilistic graphs in cooperative games : A model inspired by voting situations," Discussion Paper 1995-95, Tilburg University, Center for Economic Research.
    2. Gilles, Robert P & Owen, Guillermo & van den Brink, Rene, 1992. "Games with Permission Structures: The Conjunctive Approach," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(3), pages 277-293.
    3. Stef Tijs & Anne van den Nouweland & Bhaskar Dutta, 1998. "Link formation in cooperative situations," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 245-256.
    4. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
    5. Derks, Jean & Peters, Hans, 1993. "A Shapley Value for Games with Restricted Coalitions," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(4), pages 351-360.
    6. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
    7. repec:cdl:ucsbec:5-92 is not listed on IDEAS
    8. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
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    Citations

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    Cited by:

    1. Emilio Calvo, 2008. "Random marginal and random removal values," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(4), pages 533-563, December.
    2. van den Brink, J.R. & van der Laan, G., 1999. "Potentials and Reduced Games for Share Functions," Discussion Paper 1999-41, Tilburg University, Center for Economic Research.
    3. Casajus, André & Yokote, Koji, 2017. "Weak differential marginality and the Shapley value," Journal of Economic Theory, Elsevier, vol. 167(C), pages 274-284.
    4. Yan-An Hwang & Yu-Hsien Liao, 2008. "Potentializability and consistency for multi-choice solutions," Spanish Economic Review, Springer;Spanish Economic Association, vol. 10(4), pages 289-301, December.
    5. Emilio Calvo & Esther Gutiérrez-López, 2015. "The value in games with restricted cooperation," Discussion Papers in Economic Behaviour 0115, University of Valencia, ERI-CES.
    6. 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.
    7. Calvo, Emilio & Santos, Juan Carlos, 2000. "A value for multichoice games," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 341-354, November.
    8. Carreras, Francesc, 2005. "A decisiveness index for simple games," European Journal of Operational Research, Elsevier, vol. 163(2), pages 370-387, June.
    9. Francesc Carreras, 2004. "α -Decisiveness In Simple Games," Theory and Decision, Springer, vol. 56(1), pages 77-91, April.
    10. Carreras, Francesc & Giménez, José Miguel, 2010. "Semivalues: power,potential and multilinear extensions," MPRA Paper 27620, University Library of Munich, Germany.
    11. Annick Laruelle & Federico Valenciano, 2008. "Potential, value, and coalition formation," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 73-89, July.
    12. Casajus, André & Huettner, Frank, 2015. "Potential, value, and the multilinear extension," Economics Letters, Elsevier, vol. 135(C), pages 28-30.
    13. Casajus, André, 2014. "Potential, value, and random partitions," Economics Letters, Elsevier, vol. 125(2), pages 164-166.
    14. 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.
    15. 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.
    16. Luigi Montrucchio & Patrizia Semeraro, 2008. "Refinement Derivatives and Values of Games," Mathematics of Operations Research, INFORMS, vol. 33(1), pages 97-118, February.
    17. Federico Valenciano & Annick Laruelle, 2003. "Potential, Value And Probability," Working Papers. Serie AD 2003-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    18. 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.
    19. 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;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 505-523, October.

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