论文信息 - Multi-stage sequencing situations

Multi-stage sequencing situations

This paper introduces the idea of dynamics in cooperative games. The concrete case of multi-stage sequencing situations and the difficulties involved in defining stable cost savings allocations for the games arising from these situations is studied. The MEGS-rule is defined and proven to yield stable allocations. A characterization for the MEGS-rule is given.

Imma J. Curiel | I. Curiel

[1] L. Shapley. Cores of convex games , 1971 .

[2] Herbert Hamers,et al. On a New Class of Parallel Sequencing Situations and Related Games , 2002, Ann. Oper. Res..

[3] Hans Peters,et al. Chapters in Game Theory , 2004 .

[4] Stef Tijs,et al. Sequencing and Cooperation , 1994, Oper. Res..

[5] Herbert Hamers,et al. Sequencing games : A survey , 2002 .

[6] Herbert Hamers,et al. The split core of sequencing games , 1996 .

[7] Herbert Hamers,et al. On the balancedness of multiple machine sequencing games , 1999, Eur. J. Oper. Res..

[8] Imma Curiel,et al. Cooperative Combinatorial Games , 2008 .

[9] P. Pardalos,et al. Pareto optimality, game theory and equilibria , 2008 .

[10] Rajendra Prasad,et al. Cooperation in one machine scheduling , 1993, ZOR Methods Model. Oper. Res..

[11] M. Slikker. Relaxed sequencing games have a nonempty core , 2006 .

[12] Hans Reijnierse,et al. Γ-component additive games , 1995 .

[13] Wenzhong Li,et al. Solution of and bounding in a linearly constrained optimization problem with convex, polyhedral objective function , 1995, Math. Program..

[14] Herbert Hamers,et al. On games corresponding to sequencing situations with ready times , 1995, Math. Program..