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Monotonic allocation schemes in clan games

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  • Voorneveld, M.

    (Tilburg University)

  • Tijs, S.H.

    (Tilburg University)

  • Grahn, S.

Abstract

Total clan games are characterized using monotonicity, veto power of the clan members, and a concavity condition reflecting the decreasing marginal contribution of non-clan members to growing coalitions.This decreasing marginal contribution is incorporated in the notion of a bi-monotonic allocation scheme, where the value of each coalition is divided over its members in such a way that the clan members receive a higher, and the non-clan members a lower share as the coalitions grow larger.Each core element of a total clan game can be extended to both a population monotonic and a bi-monotonic allocation scheme.In total clan games where the clan consists of a single member (the so-called big boss) the use of the nucleolus as an allocation mechanism gives rise to a bi-monotonic allocation scheme.

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Bibliographic Info

Paper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-91573.

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Date of creation: 2003
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Publication status: Published in Mathematical Methods of Operations Research (2003) v.56, p.439-449
Handle: RePEc:ner:tilbur:urn:nbn:nl:ui:12-91573

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Web page: http://www.tilburguniversity.edu/

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Cited by:
  1. Rodica Branzei & Dinko Dimitrov & Stef Tijs, 2008. "Convex Games Versus Clan Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 363-372.
  2. Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Big Boss Interval Games," Discussion Paper 2008-47, Tilburg University, Center for Economic Research.
  3. Tijs, S.H. & Brânzei, R. & Muto, S. & Ishihara, S. & Fukuda, E., 2002. "Fuzzy Clan Games and Bi-monotonic Allocation Rules," Discussion Paper 2002-115, Tilburg University, Center for Economic Research.
  4. Brânzei, R. & Solymosi, T. & Tijs, S.H., 2007. "Type monotonic allocation schemes for multi-glove games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-195190, Tilburg University.
  5. Moretti, S. & Norde, H.W. & Pham Do, K.H. & Tijs, S.H., 2001. "Connection Problems in Mountains and Monotonic Allocation Schemes," Discussion Paper 2001-12, Tilburg University, Center for Economic Research.
  6. Rodica Branzei & Dinko Dimitrov & Stef Tijs, 2005. "Convex games, clan games, and their marginal games," Working Papers 368, Bielefeld University, Center for Mathematical Economics.
  7. Brânzei, R. & Scotti, F. & Tijs, S.H. & Torre, A., 2002. "Discretization of Information Collecting Situations and Continuity of Compensation Rules," Discussion Paper 2002-18, Tilburg University, Center for Economic Research.
  8. Timmer, J.B., 2001. "Cooperative Behaviour, Uncertainty and Operations Research," Open Access publications from Tilburg University urn:nbn:nl:ui:12-86973, Tilburg University.
  9. Jesus Fco. Getan Olivan & Jesus Montes & Carlos Rafels Pallarola, 2006. "On the monotonic core," Working Papers in Economics 155, Universitat de Barcelona. Espai de Recerca en Economia.
  10. José M. Jiménez Gómez & Josep Enric Peris Ferrando, 2012. "A proportional approach to bankruptcy. Problems with a guaranteed minimum," Working Papers. Serie AD 2012-11, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  11. William Thomson, 2013. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: an update," RCER Working Papers 578, University of Rochester - Center for Economic Research (RCER).
  12. Moretti, Stefano, 2008. "Cost Allocation Problems Arising from Connection Situations in an Interactive Cooperative Setting," Economics Papers from University Paris Dauphine 123456789/4874, Paris Dauphine University.
  13. Tijs, S.H. & Moretti, S. & Brânzei, R. & Norde, H.W., 2005. "The Bird Core for Minimum Cost Spanning Tree problems Revisited: Monotonicity and Additivity Aspects," Discussion Paper 2005-3, Tilburg University, Center for Economic Research.
  14. Josep Maria Izquierdo Aznar, 2003. "Regular Population Monotonic Allocation Schemes and the Core," Working Papers in Economics 110, Universitat de Barcelona. Espai de Recerca en Economia.

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