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A Stroll with Alexia

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  • Lohmann, E.R.M.A.
  • Borm, P.E.M.
  • Quant, M.

    (Tilburg University, Center for Economic Research)

Abstract

This paper revisits the Alexia value, a recent solution concept for cooperative transferable utility games. We introduce the dual Alexia value and show that it coincides with the Alexia value for several classes of games. We demonstrate the importance of the notion of compromise stability for characterizing the Alexia value.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2007-52.

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Date of creation: 2007
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Handle: RePEc:dgr:kubcen:200752

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Web page: http://center.uvt.nl

Related research

Keywords: Alexia value; dual Alexia value; compromise stability; bankruptcy;

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References

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  1. Quant, M. & Borm, P.E.M. & Hendrickx, R.L.P. & Zwikker, P., 2006. "Compromise solutions based on bankruptcy," Open Access publications from Tilburg University urn:nbn:nl:ui:12-193649, Tilburg University.
  2. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Velzen, S. van, 2005. "The core cover in relation to the nucleolus and the Weber set," Open Access publications from Tilburg University urn:nbn:nl:ui:12-173775, Tilburg University.
  3. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
  4. Reijnierse, J.H. & Maschler, M.B. & Potters, J.A.M. & Tijs, S.H., 1996. "Simple flow games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-72932, Tilburg University.
  5. Pradeep Dubey & Robert J. Weber, 1977. "Probabilistic Values for Games," Cowles Foundation Discussion Papers 471, Cowles Foundation for Research in Economics, Yale University.
  6. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June.
  7. Tijs, S.H. & Lipperts, F.A.S., 1982. "The hypercube and the core cover of N-person cooperative games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154285, Tilburg University.
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Cited by:
  1. Tijs, Stef & Borm, Peter & Lohmann, Edwin & Quant, Marieke, 2011. "An average lexicographic value for cooperative games," European Journal of Operational Research, Elsevier, vol. 213(1), pages 210-220, August.

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