On the core of semi-infinite transportation games with divisible goods

Judith B. Timmer, Joaquin Sanchez-Soriano, Natividad Llorca, Stef Tijs

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

The core of games arising from semi-infinite transportation situations with infinitely divisible goods is studied. In these situations one aims at maximizing the profit from transporting a good from a finite number of suppliers to an infinite number of demanders. This good is infinitely divisible. It is shown that the underlying primal and dual infinite programs have no duality gap. Further, there always exist so-called -core elements in the corresponding cooperative game. Conditions are provided under which the core of the corresponding games is nonempty.
Original languageUndefined
Pages (from-to)463-475
Number of pages13
JournalEuropean journal of operational research
Volume142
Issue number3
DOIs
Publication statusPublished - 1 Nov 2002

Keywords

  • Infinite programs
  • Cooperative games
  • Core
  • IR-71695
  • EWI-17975
  • METIS-206673
  • Transportation situations

Cite this

Timmer, Judith B. ; Sanchez-Soriano, Joaquin ; Llorca, Natividad ; Tijs, Stef. / On the core of semi-infinite transportation games with divisible goods. In: European journal of operational research. 2002 ; Vol. 142, No. 3. pp. 463-475.
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author = "Timmer, {Judith B.} and Joaquin Sanchez-Soriano and Natividad Llorca and Stef Tijs",
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On the core of semi-infinite transportation games with divisible goods. / Timmer, Judith B.; Sanchez-Soriano, Joaquin; Llorca, Natividad; Tijs, Stef.

In: European journal of operational research, Vol. 142, No. 3, 01.11.2002, p. 463-475.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Timmer, Judith B.

AU - Sanchez-Soriano, Joaquin

AU - Llorca, Natividad

AU - Tijs, Stef

N1 - This author acknowledges financial support from the Netherlands Organization for Scientific Research (NWO) through project 613-304-059.

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KW - Infinite programs

KW - Cooperative games

KW - Core

KW - IR-71695

KW - EWI-17975

KW - METIS-206673

KW - Transportation situations

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