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Coalitional games: Monotonicity and core

  • Arin, J.
  • Feltkamp, V.

We characterize a monotonic core solution defined on the class of veto balanced games. We also discuss what restricted versions of monotonicity are possible when selecting core allocations. We introduce a family of monotonic core solutions for veto balanced games and we show that, in general, the per capita nucleolus is not monotonic.

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Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 216 (2012)
Issue (Month): 1 ()
Pages: 208-213

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Handle: RePEc:eee:ejores:v:216:y:2012:i:1:p:208-213
Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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  1. Muto, S. & Nakayama, M. & Potters, J.A.M. & Tijs, S.H., 1988. "On big boss games," Other publications TiSEM 488a314a-179c-4628-91e6-7, Tilburg University, School of Economics and Management.
  2. MANIQUET, François, . "A characterization of the Shapley value in queueing problems," CORE Discussion Papers RP -1662, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-37, September.
  4. Muto, S. & Potters, J.A.M. & Tijs, S.H., 1989. "Information market games," Other publications TiSEM 2f3f1109-5579-4e6a-9482-e, Tilburg University, School of Economics and Management.
  5. J. Arin & V. Feltkamp, 2005. "Monotonicity properties of the nucleolus on the domain of veto balanced games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 13(2), pages 331-341, December.
  6. Moulin Herve & Shenker Scott, 1994. "Average Cost Pricing versus Serial Cost Sharing: An Axiomatic Comparison," Journal of Economic Theory, Elsevier, vol. 64(1), pages 178-201, October.
  7. repec:ner:tilbur:urn:nbn:nl:ui:12-154246 is not listed on IDEAS
  8. repec:ner:tilbur:urn:nbn:nl:ui:12-154244 is not listed on IDEAS
  9. Muto, Shigeo & Potters, Jos & Tijs, Stef, 1989. "Information Market Games," International Journal of Game Theory, Springer, vol. 18(2), pages 209-26.
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