Partitioning Sequencing Situations and Games

CentER Discussion Paper Series No. 2007-40

16 Pages Posted: 13 Jun 2007

See all articles by Marloes Gerichhausen

Marloes Gerichhausen

Tilburg University - Department of Econometrics & Operations Research

Herbert Hamers

Tilburg University - Center for Economic Research (CentER); Tilburg University - Department of Econometrics & Operations Research

Date Written: June 2007

Abstract

The research that studies the interaction between sequencing situations and cooperative games, that started with the paper of Curiel et al. (1989), has become an established line of research. This paper introduces a new model in this field: partitioning sequencing situations and games. The characteristic of partitioning sequencing situations is that the jobs arrive in batches, and those jobs that arrive in earlier batches have some privileges over jobs in later arrived batches. For partitioning sequencing situations we introduce and characterise the partitioning equal gain splitting rule. Next, we define cooperative games that arise from these partitioning sequencing situations. It is shown that these games are convex. Moreover, we present a game independent expression for the Shapley value. Finally, it is shown that the partitioning equal gain splitting rule can be used to generate a core allocation and can be viewed as the average of two specific marginal vectors.

Keywords: Sequencing situations, sequencing games

JEL Classification: C71

Suggested Citation

Gerichhausen, Marloes and Hamers, Herbert, Partitioning Sequencing Situations and Games (June 2007). CentER Discussion Paper Series No. 2007-40, Available at SSRN: https://ssrn.com/abstract=993401 or http://dx.doi.org/10.2139/ssrn.993401

Marloes Gerichhausen

Tilburg University - Department of Econometrics & Operations Research ( email )

Tilburg, 5000 LE
Netherlands

Herbert Hamers (Contact Author)

Tilburg University - Center for Economic Research (CentER) ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands
+31 13 4666 2660 (Phone)

Tilburg University - Department of Econometrics & Operations Research

Tilburg, 5000 LE
Netherlands

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