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Operations research games : a survey

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Author Info
Borm, P.
Hamers, H.
Hendrickx, (Tilburg University, Center for Economic Research)

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Abstract

This paper surveys the research area of cooperative games associated with several types of operations research problems in which various decision makers (players) are involved. Cooperating players not only face a joint optimisation problem in trying, e.g., to minimise total joint costs, but also face an additional allocation problem in how to distribute these joint costs back to the individual players. This interplay between optimisation and allocation is the main subject of the area of operations research games. It is surveyed on the basis of a distinction between the nature of the underlying optimisation problem: connection, routing, scheduling, production and inventory.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 45.

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Date of creation: 2001
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Handle: RePEc:dgr:kubcen:200145

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  1. Hamers, H. & Klijn, F. & Solymosi, T., 1999. "On the extreme points of the core of neighbour games and assignment games," Discussion Paper 43, Tilburg University, Center for Economic Research. [Downloadable!]
  2. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June. [Downloadable!] (restricted)
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  7. Koster, M. & Molina, E. & Sprumont, Y. & Tijs, S., 1998. "Sharing the cost of a network : core and core allocations," Discussion Paper 21, Tilburg University, Center for Economic Research. [Downloadable!]
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  8. Grahn, S., 2001. "Core and Bargaining Set of Shortest Path Games," Papers 2001:03, Uppsala - Working Paper Series.
  9. van Gellekom, J. R. G. & Potters, J. A. M. & Reijnierse, J. H. & Engel, M. C. & Tijs, S. H., 2000. "Characterization of the Owen Set of Linear Production Processes," Games and Economic Behavior, Elsevier, vol. 32(1), pages 139-156, July. [Downloadable!] (restricted)
  10. Hamers, H. & Borm, P. & Tijs, S., 1993. "A Games Corresponding to Sequencing Situations with Ready Times," Papers 9316, Tilburg - Center for Economic Research.
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  12. Sanchez-Soriano, Joaquin & Lopez, Marco A. & Garcia-Jurado, Ignacio, 2001. "On the core of transportation games," Mathematical Social Sciences, Elsevier, vol. 41(2), pages 215-225, March. [Downloadable!] (restricted)
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  14. Meca, A. & Timmer, J. & Garcia-Jurado, I., 1999. "Inventory games," Discussion Paper 53, Tilburg University, Center for Economic Research. [Downloadable!]
  15. Sasaki, Hiroo, 1995. "Consistency and Monotonicity in Assignment Problems," International Journal of Game Theory, Springer, vol. 24(4), pages 373-97.
  16. Meca, Ana & Timmer, Judith & Garcia-Jurado, Ignacio & Borm, Peter, 2004. "Inventory games," European Journal of Operational Research, Elsevier, vol. 156(1), pages 127-139, July. [Downloadable!] (restricted)
  17. Jean Derks & Jeroen Kuipers, 1997. "On the Core of Routing Games," International Journal of Game Theory, Springer, vol. 26(2), pages 193-205.
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  19. Hartman, Bruce C. & Dror, Moshe & Shaked, Moshe, 2000. "Cores of Inventory Centralization Games," Games and Economic Behavior, Elsevier, vol. 31(1), pages 26-49, April. [Downloadable!] (restricted)
  20. Aadland, David & Kolpin, Van, 1998. "Shared irrigation costs: An empirical and axiomatic analysis," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 203-218, March. [Downloadable!] (restricted)
  21. Hamers, Herbert & Borm, Peter & van de Leensel, Robert & Tijs, Stef, 1999. "Cost allocation in the Chinese postman problem," European Journal of Operational Research, Elsevier, vol. 118(1), pages 153-163, October. [Downloadable!] (restricted)
  22. Norde, H. & Moretti, S. & Tijs, S., 2001. "Minimum cost spanning tree games and population monotonic allocation schemes," Discussion Paper 18, Tilburg University, Center for Economic Research. [Downloadable!]
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  23. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August. [Downloadable!] (restricted)
  24. Bjorndal, E. & Koster, M. & Tijs, S., 1999. "Weighted allocation rules for standard fixed tree games," Discussion Paper 79, Tilburg University, Center for Economic Research. [Downloadable!]
  25. R. Branzei & E. Inarra & S. Tijs & J. M. Zarzuelo, 2005. "Cooperation by Asymmetric Agents in a Joint Project," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(4), pages 623-640, October. [Downloadable!] (restricted)
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  26. Daniel Granot & Michael Maschler, 1998. "Spanning network games," International Journal of Game Theory, Springer, vol. 27(4), pages 467-500. [Downloadable!] (restricted)
  27. Ehud Kalai & Eitan Zemel, 1980. "Generalized Network Problems Yielding Totally Balanced Games," Discussion Papers 425, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  29. Borm, P. & De Waegenaere, A. & Rafels, C., 1999. "Cooperation in capital deposits," Discussion Paper 31, Tilburg University, Center for Economic Research. [Downloadable!]
  30. Granot, D. & Hamers, H., 2000. "On the equivalence between some local and global Chinese postman and traveling salesman graphs," Discussion Paper 48, Tilburg University, Center for Economic Research. [Downloadable!]
  31. Calleja, P. & Borm, P. & Hendrickx, R., 2001. "Multi-issue allocation games," Discussion Paper 30, Tilburg University, Center for Economic Research. [Downloadable!]
  32. Feltkamp, V. & Koster, A. & Van Den Nouweland, A. & Borm, P. & Tijs, S., 1993. "Linear Production with Transport of Products, Resources and Technology," Papers 9332, Tilburg - Center for Economic Research.
  33. Kaneko, Mamoru, 1982. "The central assignment game and the assignment markets," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 205-232, September. [Downloadable!] (restricted)
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Full references

Cited by:
(explanations, 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. Tijs, S.H. & Branzei, R., 2004. "Cases in cooperation and cutting the cake," Discussion Paper 108, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Fragnelli, Vito & Llorca, Natividad & Sanchez-Soriano, Joaquin & Tijs, Stef, 2006. "Convex games with countable number of players and sequencing situations," Discussion Paper 119, Tilburg University, Center for Economic Research. [Downloadable!]
  3. Estevez Fernandez, M.A., 2008. "A Game Theoretical Approach to Sharing Penalties and Rewards in Projects," Discussion Paper 2008-84, Tilburg University, Center for Economic Research. [Downloadable!]
  4. Flip Klijn & Marco Slikker, 2004. "Distribution Center Consolidation Games," UFAE and IAE Working Papers 602.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
  5. Heuvel, W. van den & Borm, P. & Hamers, H., 2004. "Economic Lot-Sizing Games," Research Paper ERS-2004-088-LIS Revision, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni. [Downloadable!]
    Other versions:
  6. Meertens, M. & Borm, P.E.M. & Reijnierse, J.H. & Quant, M., 2004. "Processing games with restricted capacities," Discussion Paper 83, Tilburg University, Center for Economic Research. [Downloadable!]
  7. Quant, M. & Borm, P.E.M. & Reijnierse, J.H., 2003. "Congestion network problems and related games," Discussion Paper 106, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  8. Alparslan-Gok, S.Z. & Miquel, S. & Tijs, S.H., 2008. "Cooperation under Interval Uncertainty," Discussion Paper 2008-09, Tilburg University, Center for Economic Research. [Downloadable!]
  9. Kleppe, J. & Reijnierse, J.H., 2007. "Public Congestion Network Situations, and Related Games," Discussion Paper 2007-58, Tilburg University, Center for Economic Research. [Downloadable!]
  10. Alparslan-Gok, S.Z. & Brânzei, R. & Fragnelli, V. & Tijs, S.H., 2008. "Sequencing Interval Situations and Related Games," Discussion Paper 2008-63, Tilburg University, Center for Economic Research. [Downloadable!]
  11. Quant, M. & Reijnierse, J.H., 2004. "Convex congestion network problems," Discussion Paper 59, Tilburg University, Center for Economic Research. [Downloadable!]
  12. Alparslan-Gok, S.Z. & Branzei, R. & Tijs, S.H., 2008. "Convex Interval Games," Discussion Paper 2008-37, Tilburg University, Center for Economic Research. [Downloadable!]
  13. Ozen, Ulas & Norde, Henk & Slikker, Marco, 2005. "On the convexity of newsvendor games," Discussion Paper 103, Tilburg University, Center for Economic Research. [Downloadable!]
  14. Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Cooperative Interval Games Arising from Airport Situations with Interval Data," Discussion Paper 2008-57, Tilburg University, Center for Economic Research. [Downloadable!]
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