On consistency of reward allocation rules in sequencing situations

J.P.M. Suijs, H.J.M. Hamers, S.H. Tijs

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Abstract

In this paper we consider the equal gain splitting rule and the split core. Both are solution concepts for sequencing situations and were introduced by Curiel, Pederzoli and Tijs (1989) and Hamers, Suijs, Tijs and Borm (1994) respectively. Our goal is a characterization of these solution concepts using consistency properties. However, to do this we need a more subtle look at the allocations assigned by both solution concepts. In the current definitions they assign aggregated allocations, i.e. only the total reward is assigned to each agent. To use consistency in sequencing situations, aggregated solution concepts do not provide sufficient information. What we need is a further specification of this total reward of an agent. Therefore we introduce so called non-aggregated solution concepts. A non-aggregated solution concept assigns a vector to each agent, in some way representing the specification of his total reward. Consequently, a non-aggregated solution concept assigns to each sequencing situation a matrix instead of a vector. In this paper we introduce the non-aggregated counter-parts of the equal gain splitting rule and the split core and characterize them using consistency.
Original languageEnglish
PublisherUnknown Publisher
Number of pages14
Volume9518
Publication statusPublished - 1995

Publication series

NameDiscussion Papers / CentER for Economic Research
Volume9518

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Keywords

  • Game Theory
  • Production Scheduling
  • operations research

Cite this

Suijs, J. P. M., Hamers, H. J. M., & Tijs, S. H. (1995). On consistency of reward allocation rules in sequencing situations. (Discussion Papers / CentER for Economic Research; Vol. 9518). Unknown Publisher.
Suijs, J.P.M. ; Hamers, H.J.M. ; Tijs, S.H. / On consistency of reward allocation rules in sequencing situations. Unknown Publisher, 1995. 14 p. (Discussion Papers / CentER for Economic Research).
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Suijs, JPM, Hamers, HJM & Tijs, SH 1995, On consistency of reward allocation rules in sequencing situations. Discussion Papers / CentER for Economic Research, vol. 9518, vol. 9518, Unknown Publisher.

On consistency of reward allocation rules in sequencing situations. / Suijs, J.P.M.; Hamers, H.J.M.; Tijs, S.H.

Unknown Publisher, 1995. 14 p. (Discussion Papers / CentER for Economic Research; Vol. 9518).

Research output: Book/ReportReportProfessional

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AB - In this paper we consider the equal gain splitting rule and the split core. Both are solution concepts for sequencing situations and were introduced by Curiel, Pederzoli and Tijs (1989) and Hamers, Suijs, Tijs and Borm (1994) respectively. Our goal is a characterization of these solution concepts using consistency properties. However, to do this we need a more subtle look at the allocations assigned by both solution concepts. In the current definitions they assign aggregated allocations, i.e. only the total reward is assigned to each agent. To use consistency in sequencing situations, aggregated solution concepts do not provide sufficient information. What we need is a further specification of this total reward of an agent. Therefore we introduce so called non-aggregated solution concepts. A non-aggregated solution concept assigns a vector to each agent, in some way representing the specification of his total reward. Consequently, a non-aggregated solution concept assigns to each sequencing situation a matrix instead of a vector. In this paper we introduce the non-aggregated counter-parts of the equal gain splitting rule and the split core and characterize them using consistency.

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Suijs JPM, Hamers HJM, Tijs SH. On consistency of reward allocation rules in sequencing situations. Unknown Publisher, 1995. 14 p. (Discussion Papers / CentER for Economic Research).