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

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Author Info
Sanches-Soriano, J.
Llorca, N.
Tijs, S.
Timmer, J.B. (Tilburg University, Center for Economic Research)
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 E-core elements in the corresponding cooperative game. Conditions are provided under which the core of the corresponding games is nonempty.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 89.

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Date of creation: 2000
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Handle: RePEc:dgr:kubcen:200089

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Related research
Keywords: 90D12; 90C05; 90C34;

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis

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  1. Llorca, N. & Tijs, S. & Timmer, J., 1999. "Semi-infinite assignment problems and related games," Discussion Paper 74, Tilburg University, Center for Economic Research. [Downloadable!]
  2. van Gellekom, J. R. G. & Potters, J. A. M. & Reijnierse, J. H. & Engel, M. C. & Tijs, S. H., 2000. "Characterization of the Owen Set of Linear Production Processes," Games and Economic Behavior, Elsevier, vol. 32(1), pages 139-156, July. [Downloadable!] (restricted)
  3. Sanchez-Soriano, J. & Llorca, N. & Tijs, S., 2000. "Semi-infinite assignment and transportation games," Discussion Paper 43, Tilburg University, Center for Economic Research. [Downloadable!]
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