On the Balancedness of M-Sequencing Games

CentER Discussion Paper Series No. 1998-17

Posted: 2 Dec 1998

See all articles by Herbert Hamers

Herbert Hamers

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

Flip Klijn

Autonomous University of Barcelona - Department of Economics and Economic History

Jeroen Suijs

Erasmus University Rotterdam (EUR) - Erasmus School of Economics (ESE)

Date Written: 1998

Abstract

This paper studies m-sequencing games that arise from sequencing situations with m parallel and identical machines. These m-sequencing games, which involve n players, give rise to m-machine games, which involve m players. Here, n corresponds to the number of jobs in an m-sequencing situation, and m corresponds to the number of machines in the same m-sequencing situation. We prove that an m-sequening game is balanced if and only if the corresponding m-machine game is balanced. Furthermore, it is shown that m-sequencing games are balanced if m=1,2. Finally, if m>2, balancedness is established for two special classes of m-sequencing games.

JEL Classification: C71

Suggested Citation

Hamers, Herbert and Klijn, Flip and Suijs, Jeroen, On the Balancedness of M-Sequencing Games (1998). CentER Discussion Paper Series No. 1998-17. Available at SSRN: https://ssrn.com/abstract=137907

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

Flip Klijn

Autonomous University of Barcelona - Department of Economics and Economic History ( email )

Edifici B - Campus Bellaterra
Barcelona, 08193
Spain

Jeroen Suijs

Erasmus University Rotterdam (EUR) - Erasmus School of Economics (ESE) ( email )

P.O. Box 1738
3000 DR Rotterdam, NL 3062 PA
Netherlands

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