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Tree-connected Peer Group Situations and Peer Group Games

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Author Info
Brânzei, R.
Fragnelli, V.
Tijs, S.H. (Tilburg University, Center for Economic Research)

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Abstract

A class of cooperative games is introduced which arises from situations in which a set of agents is hierarchically structured and where potential individual economic abilities interfere with the behavioristic rules induced by the organization structure.These games form a cone generated by a specific class of unanimity games, namely those based on coalitions called peer groups. Different economic situations like auctions, communication situations, sequencing situations and flow situations are related to peer group games.For peer group games classical solution concepts have nice properties.

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Publisher Info
Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2000-117.

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Date of creation: 2000
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Handle: RePEc:dgr:kubcen:2000117

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Vincent Feltkamp & Javier Arin, 1997. "The Nucleolus and Kernel of Veto-Rich Transferable Utility Games," International Journal of Game Theory, Springer, vol. 26(1), pages 61-73.
  2. Ehud Kalai & Eitan Zemel, 1980. "On Totally Balanced Games and Games of Flow," Discussion Papers 413, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  3. Jean Derks & Hans Haller & Hans Peters, 2000. "The selectope for cooperative games," International Journal of Game Theory, Springer, vol. 29(1), pages 23-38. [Downloadable!] (restricted)
  4. Borm, P. & Nouweland, A. van den & Tijs, S., 1994. "Cooperation and communication restrictions: a survey," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154189, Tilburg University. [Downloadable!]
  5. Robert J. Weber, 1977. "Probabilistic Values for Games," Cowles Foundation Discussion Papers 471R, Cowles Foundation, Yale University. [Downloadable!]
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  6. Borm, P. & Nouweland, A. van den & Tijs, S.H., 1994. "Cooperation and communication restrictions: a survey," Open Access publications from Tilburg University urn:nbn:nl:ui:12-148574, Tilburg University. [Downloadable!]
  7. Gilles, Robert P & Owen, Guillermo & van den Brink, Rene, 1992. "Games with Permission Structures: The Conjunctive Approach," International Journal of Game Theory, Springer, vol. 20(3), pages 277-93.
  8. Derks, Jean & Haller, Hans & Peters, Hans, 2000. "The selectope for cooperative games," Open Access publications from Maastricht University urn:nbn:nl:ui:27-12221, Maastricht University. [Downloadable!]
  9. Roger B. Myerson, 1978. "Conference Structures and Fair Allocation Rules," Discussion Papers 363, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  10. Roger B. Myerson, 1976. "Graphs and Cooperation in Games," Discussion Papers 246, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. René van den Brink, 2004. "Null or Zero Players: The Difference between the Shapley Value and the Egalitarian Solution," Tinbergen Institute Discussion Papers 04-127/1, Tinbergen Institute. [Downloadable!]
  2. Algaba, A. & Bilbao, J.M. & Brink, J.R. van den & Jiménez-Losada, A., 2001. "Axiomatizations of the Shapley Value for Cooperative Games on Antimatroids," Discussion Paper 2001-99, Tilburg University, Center for Economic Research. [Downloadable!]
  3. René Brink, 2008. "Vertical wage differences in hierarchically structured firms," Social Choice and Welfare, Springer, vol. 30(2), pages 225-243, February. [Downloadable!] (restricted)
  4. Brânzei, R. & Solymosi, T. & Tijs, S.H., 2003. "Strongly Essential Coalitions and the Nucleolus of Peer Group Games," Discussion Paper 2003-19, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  5. René van den Brink & Gerard van der Laan & Vitaly Pruzhansky, 2004. "Harsanyi Power Solutions for Graph-restricted Games," Tinbergen Institute Discussion Papers 04-095/1, Tinbergen Institute. [Downloadable!]
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