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On the core of a class of location games

Author

Listed:
  • Justo Puerto
  • Ignacio Garcı´a-Jurado
  • Francisco R. Fernández

Abstract

Ausgehend von kontinuierlichen 1-Standortproblemen wird in diesem Paper eine neue Klasse von kostenbasierten TU-Spielen eingeführt. Es werden einige hinreichende Bedingungen präsentiert unter denen ein Spiel in dieser Klasse einen nicht-leeren Kern hat. Weiterhin werden Zuordnungsregeln für die speziellen Teilklassen der Weber und Minimax Standortspiele vorgeschlagen und es wird untersucht unter welchen Bedingungen die eingeführten Regeln Zuordnungen aus dem Kern wählen. Copyright Springer-Verlag Berlin Heidelberg 2001

Suggested Citation

  • Justo Puerto & Ignacio Garcı´a-Jurado & Francisco R. Fernández, 2001. "On the core of a class of location games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 54(3), pages 373-385, December.
    • Handle: RePEc:spr:mathme:v:54:y:2001:i:3:p:373-385
    DOI: 10.1007/s001860100157
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    Citations

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    Cited by:

    1. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2021. "Cohesive efficiency in TU-games: axiomatizations of variants of the Shapley value, egalitarian values and their convex combinations," Annals of Operations Research, Springer, vol. 302(1), pages 23-47, July.
    2. Bergantiños, Gustavo & Gómez-Rúa, María & Llorca, Natividad & Pulido, Manuel & Sánchez-Soriano, Joaquín, 2020. "Allocating costs in set covering problems," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1074-1087.
    3. Corberán, Ángel & Landete, Mercedes & Peiró, Juanjo & Saldanha-da-Gama, Francisco, 2020. "The facility location problem with capacity transfers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 138(C).
    4. Perea, F. & Puerto, J. & Fernández, F.R., 2009. "Modeling cooperation on a class of distribution problems," European Journal of Operational Research, Elsevier, vol. 198(3), pages 726-733, November.

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