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Processing games with restricted capacities

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Author Info
Meertens, M.
Borm, P.E.M.
Reijnierse, J.H.
Quant, M. (Tilburg University, Center for Economic Research)

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Abstract

This paper analyzes processing problems and related cooperative games. In a processing problem there is a finite set of jobs, each requiring a specific amount of effort to be completed, whose costs depend linearly on their completion times. There are no restrictions whatsoever on the processing schedule. The main feature of the model is a capacity restriction, i.e., there is a maximum amount of effort per time unit available for handling jobs. Assigning to each job a player and letting each player have an individual capacity for handling jobs, each coalition of cooperating players in fact faces a processing problem with the coalitional capacity being the sum of the individual capacities of the members. The corresponding processing game summarizes the minimal joint costs for every coalition. It turns out that processing games are totally balanced. An explicit core element is constructed.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 83.

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Date of creation: 2004
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Handle: RePEc:dgr:kubcen:200483

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Find related papers by JEL classification:
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Borm, P. & Hamers, H. & Hendrickx,, 2001. "Operations research games : a survey," Discussion Paper 45, Tilburg University, Center for Economic Research. [Downloadable!]
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  2. Legut J. & Potters J. A. M. & Tijs S. H., 1994. "Economies with Land--A Game Theoretical Approach," Games and Economic Behavior, Elsevier, vol. 6(3), pages 416-430, May. [Downloadable!] (restricted)
  3. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June. [Downloadable!] (restricted)
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  1. Quant, M. & Meertens, M. & Reijnierse, J.H., 2004. "Processing games with shared interest," Discussion Paper 126, Tilburg University, Center for Economic Research. [Downloadable!]
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