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Operations research games: A survey

Listed author(s):
  • Peter Borm

    ()

  • Herbert Hamers

    ()

  • Ruud Hendrickx

    ()

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.

(This abstract was borrowed from another version of this item.)

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File URL: http://hdl.handle.net/10.1007/BF02579075
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Article provided by Springer & Sociedad de Estadística e Investigación Operativa in its journal Top.

Volume (Year): 9 (2001)
Issue (Month): 2 (December)
Pages: 139-199

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Handle: RePEc:spr:topjnl:v:9:y:2001:i:2:p:139-199
DOI: 10.1007/BF02579075
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  1. Hamers, H.J.M. & Borm, P.E.M. & van den Leensel, A. & Tijs, S.H., 1999. "Cost allocation in the Chinese postman problem," Other publications TiSEM 5da2ea14-2fdf-4d1f-8b60-2, Tilburg University, School of Economics and Management.
  2. Aadland, David & Kolpin, Van, 1998. "Shared irrigation costs: An empirical and axiomatic analysis," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 203-218, March.
  3. Vito Fragnelli & Fioravante Patrone & Enrico Sideri & Stef Tijs, 1999. "Balanced games arising from infinite linear models," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 50(3), pages 385-397, December.
  4. S.C. Littlechild & G.F. Thompson, 1977. "Aircraft Landing Fees: A Game Theory Approach," Bell Journal of Economics, The RAND Corporation, vol. 8(1), pages 186-204, Spring.
  5. Moulin Herve & Shenker Scott, 1994. "Average Cost Pricing versus Serial Cost Sharing: An Axiomatic Comparison," Journal of Economic Theory, Elsevier, vol. 64(1), pages 178-201, October.
  6. repec:adr:anecst:y:1992:i:25-26:p:03 is not listed on IDEAS
  7. 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.
  8. Klijn, F. & Tijs, S.H. & Hamers, H.J.M., 1999. "Balancedness of Permutation Games and Envy-Free Allocations in Indivisible Good Economies," Discussion Paper 1999-21, Tilburg University, Center for Economic Research.
  9. Llorca, N. & Tijs, S.H. & Timmer, J.B., 1999. "Semi-Infinite Assignment Problems and Related Games," Discussion Paper 1999-74, Tilburg University, Center for Economic Research.
  10. Stefano Moretti & Henk Norde & Kim Pham Do & Stef Tijs, 2002. "Connection problems in mountains and monotonic allocation schemes," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 10(1), pages 83-99, June.
  11. Reijnierse, Hans & Maschler, Michael & Potters, Jos & Tijs, Stef, 1996. "Simple Flow Games," Games and Economic Behavior, Elsevier, vol. 16(2), pages 238-260, October.
  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.
  13. Timmer, J.B., 2001. "Cooperative behaviour, uncertainty and operations research," Other publications TiSEM 4a00d965-b7c4-4f43-8f76-5, Tilburg University, School of Economics and Management.
  14. Hamers, H. & Borm, P. & Tijs, S., 1993. "A Games Corresponding to Sequencing Situations with Ready Times," Papers 9316, Tilburg - Center for Economic Research.
  15. Derks, J.J.M. & Tijs, S.H., 1986. "Totally balanced multi-commodity games and flow games," Other publications TiSEM a3b62c80-5fbd-4864-9764-a, Tilburg University, School of Economics and Management.
  16. Granot, D. & Hamers, H.J.M. & Tijs, S.H., 1999. "On some balanced, totally balanced and submodular delivery games," Other publications TiSEM e0496604-0162-4a27-992c-a, Tilburg University, School of Economics and Management.
  17. Hamers, H.J.M. & Klijn, F. & Solymosi, T. & Tijs, S.H. & Vermeulen, D., 1999. "On the Nucleolus of Neighbour Games," Discussion Paper 1999-111, Tilburg University, Center for Economic Research.
  18. Sandsmark, Maria, 1999. "Production Games under Uncertainty," Computational Economics, Springer;Society for Computational Economics, vol. 14(3), pages 237-253, December.
  19. Timmer, J.B. & Tijs, S.H. & Llorca, N., 2000. "Games arising from infinite production situations," Other publications TiSEM 37ccd02a-35e7-4069-a2df-6, Tilburg University, School of Economics and Management.
  20. Tijs, S.H., 1992. "LP-games and combinatorial optimization games," Other publications TiSEM 8bacbc1f-5303-4467-93d9-5, Tilburg University, School of Economics and Management.
  21. 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.
  22. van den Nouweland, Anne & Krabbenborg, Marc & Potters, Jos, 1992. "Flow-shops with a dominant machine," European Journal of Operational Research, Elsevier, vol. 62(1), pages 38-46, October.
  23. Imma Curiel & Herbert Hamers & Stef Tijs & Jos Potters, 1997. "Restricted component additive games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(2), pages 213-220, June.
  24. Daniel Granot & Michael Maschler, 1998. "Spanning network games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(4), pages 467-500.
  25. van den Nouweland, Anne & Tijs, Stef & Maschler, Michael, 1993. "Monotonic Games Are Spanning Network Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(4), pages 419-427.
  26. repec:spr:compst:v:52:y:2000:i:2:p:251-264 is not listed on IDEAS
  27. Tijs, S.H. & van Gellekom, J.R.G. & Potters, J.A.M. & Reijnierse, J.H. & Engel, M.C., 2000. "Characterization of the Owen set of linear production processes," Other publications TiSEM bdf0c618-e9f1-496a-b977-0, Tilburg University, School of Economics and Management.
  28. Lloyd S. Shapley & Martin Shubik, 1964. "Ownership and the Production Function," Cowles Foundation Discussion Papers 167, Cowles Foundation for Research in Economics, Yale University.
  29. Sprumont, Y., 1996. "Ordinal Cost Sharing," Cahiers de recherche 9624, Universite de Montreal, Departement de sciences economiques.
  30. Hamers, H.J.M. & Klijn, F. & Solymosi, T. & Tijs, S.H. & Pere Villar, J., 1999. "On the extreme points of the core of neighbour games and assignment games," Discussion Paper 1999-43, Tilburg University, Center for Economic Research.
  31. Calleja, P. & Borm, P.E.M. & Hendrickx, R.L.P., 2001. "Multi-Issue Allocation Games," Discussion Paper 2001-30, Tilburg University, Center for Economic Research.
  32. Sasaki, Hiroo, 1995. "Consistency and Monotonicity in Assignment Problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(4), pages 373-397.
  33. Meca, A. & Timmer, J.B. & Garcia-Jurado, I. & Borm, P.E.M., 2004. "Inventory games," Other publications TiSEM 49368f2d-02fc-49c9-9d74-8, Tilburg University, School of Economics and Management.
    • Meca-Martinez, A. & Timmer, J.B. & Garcia-Jurado, I. & Borm, P.E.M., 1999. "Inventory Games," Discussion Paper 1999-53, Tilburg University, Center for Economic Research.
  34. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
  35. 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.
  36. Hamers, H.J.M. & Suijs, J.P.M. & Tijs, S.H. & Borm, P.E.M., 1996. "The split core of sequencing games," Other publications TiSEM 28693e2d-82da-456a-909b-3, Tilburg University, School of Economics and Management.
  37. 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.
  38. Curiel, I. & Pederzoli, G. & Tijs, S.H., 1989. "Sequencing games," Other publications TiSEM cd695be5-0f54-4548-a952-2, Tilburg University, School of Economics and Management.
  39. Derks, J.J.M. & Tijs, S.H., 1985. "Stable outcomes for multi-commodity flow games," Other publications TiSEM f643e6a4-cf4e-4892-8f00-c, Tilburg University, School of Economics and Management.
  40. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June.
  41. Quint, Thomas, 1996. "On One-Sided versus Two-Sided Matching Games," Games and Economic Behavior, Elsevier, vol. 16(1), pages 124-134, September.
  42. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June.
  43. Kaneko, Mamoru, 1982. "The central assignment game and the assignment markets," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 205-232, September.
  44. Pradeep Dubey, 1982. "The Shapley Value as Aircraft Landing Fees--Revisited," Management Science, INFORMS, vol. 28(8), pages 869-874, August.
  45. Norde, Henk & Moretti, Stefano & Tijs, Stef, 2004. "Minimum cost spanning tree games and population monotonic allocation schemes," European Journal of Operational Research, Elsevier, vol. 154(1), pages 84-97, April.
  46. Dov Samet & Eitan Zemel, 1981. "On the Core and Dual Set of Linear Programming Games," Discussion Papers 485, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  47. Brânzei, R. & Inarra, E. & Tijs, S.H. & Zarzuelo, J., 2002. "Cooperation by Asymmetric Agents in a Joint Project," Discussion Paper 2002-15, Tilburg University, Center for Economic Research.
  48. Borm, P.E.M. & Fiestras-Janeiro, G. & Hamers, H.J.M. & Sánchez, E. & Voorneveld, M., 2002. "On the convexity of games corresponding to sequencing situations with due dates," Other publications TiSEM caf52141-b0aa-42ef-96ed-e, Tilburg University, School of Economics and Management.
  49. Jeroen Suijs & Peter Borm & Herbert Hamers & Marieke Quant & Maurice Koster, 2005. "Communication and Cooperation in Public Network Situations," Annals of Operations Research, Springer, vol. 137(1), pages 117-140, July.
  50. Quint, Thomas, 1991. "Characterization of Cores of Assignment Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(4), pages 413-420.
  51. Nishizaki, Ichiro & Sakawa, Masatoshi, 2001. "On computational methods for solutions of multiobjective linear production programming games," European Journal of Operational Research, Elsevier, vol. 129(2), pages 386-413, March.
  52. Granot, D. & Hamers, H.J.M., 2000. "On the Equivalence between some Local and Global Chinese Postman and Traveling Salesman Graphs," Discussion Paper 2000-48, Tilburg University, Center for Economic Research.
  53. Marco Scarsini & Alfred Muller & Moshe Shaked, 2002. "The newsvendor game has a non-empty core," Post-Print hal-00539841, HAL.
  54. Vito Fragnelli & Ignacio García-Jurado & Luciano Méndez-Naya, 2000. "On shortest path games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(2), pages 251-264, November.
  55. Tijs, S.H. & Parthasarathy, T. & Potters, J.A.M. & Rajendra Prasad, V., 1984. "Permutation games : Another class of totally balanced games," Other publications TiSEM a7edfa18-6224-4be3-b677-5, Tilburg University, School of Economics and Management.
  56. Feltkamp, V. & Tijs, S.H. & Muto, S., 1994. "Minimum cost spanning extension problems : The proportional rule and the decentralized rule," Discussion Paper 1994-96, Tilburg University, Center for Economic Research.
  57. Curiel, I. & Hamers, H.J.M. & Tijs, S.H. & Potters, J.A.M., 1997. "Restricted component additive games," Other publications TiSEM c59f5d9a-2df2-4719-92c4-5, Tilburg University, School of Economics and Management.
  58. Nouweland, C.G.A.M. & Tijs, S.H. & Maschler, M., 1993. "Monotonic games are spanning network games," Other publications TiSEM 023e2cfe-5261-4ab3-8649-2, Tilburg University, School of Economics and Management.
  59. Jean Derks & Jeroen Kuipers, 1997. "On the Core of Routing Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(2), pages 193-205.
  60. 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.
  61. Reijnierse, J.H. & Maschler, M.B. & Potters, J.A.M. & Tijs, S.H., 1996. "Simple flow games," Other publications TiSEM 1627a9be-de9d-4905-b68a-1, Tilburg University, School of Economics and Management.
  62. S. H. Tijs & M. Koster & E. Molina & Y. Sprumont, 2002. "Sharing the cost of a network: core and core allocations," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(4), pages 567-599.
  63. Grahn, Sofia, 2001. "Core and Bargaining Set of Shortest Path Games," Working Paper Series 2001:3, Uppsala University, Department of Economics.
  64. Hamers, Herbert & Klijn, Flip & Suijs, Jeroen, 1999. "On the balancedness of multiple machine sequencing games," European Journal of Operational Research, Elsevier, vol. 119(3), pages 678-691, December.
  65. Kaminski, Marek M., 2000. "'Hydraulic' rationing," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 131-155, September.
  66. Sandsmark, M., 1999. "Production Games under Uncertainty," Norway; Department of Economics, University of Bergen 204, Department of Economics, University of Bergen.
  67. repec:spr:compst:v:45:y:1997:i:2:p:213-220 is not listed on IDEAS
  68. Potters, J.A.M. & Curiel, I. & Tijs, S.H., 1992. "Traveling salesman games," Other publications TiSEM 0dd4cf3d-25fa-4179-80f6-6, Tilburg University, School of Economics and Management.
  69. Borm, P.E.M. & De Waegenaere, A.M.B. & Rafels, C. & Suijs, J.P.M. & Tijs, S.H. & Timmer, J.B., 2001. "Cooperation in capital deposits," Other publications TiSEM de31df8b-638a-43b2-b79e-f, Tilburg University, School of Economics and Management.
  70. Curiel, I. & Pederzoli, G. & Tijs, S.H., 1988. "Reward allocations in production systems," Other publications TiSEM 9faea4df-638c-4f54-a61b-1, Tilburg University, School of Economics and Management.
  71. repec:fth:tilbur:99111 is not listed on IDEAS
  72. Grahn, S., 2001. "Core and Bargaining Set of Shortest Path Games," Papers 2001:03, Uppsala - Working Paper Series.
  73. Solymosi, Tamas & Raghavan, Tirukkannamangai E S, 1994. "An Algorithm for Finding the Nucleolus of Asignment Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(2), pages 119-143.
  74. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
  75. Hamers, H.J.M., 1995. "Sequencing and delivery situations : A game theoretic approach," Other publications TiSEM f2cbf2cf-aa4e-4f9d-b46d-7, Tilburg University, School of Economics and Management.
  76. Curiel, I. & Tijs, S.H., 1986. "Assignment games and permutation games," Other publications TiSEM c9a47c3b-28d3-4874-b0a2-f, Tilburg University, School of Economics and Management.
  77. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
  78. Suijs, J.P.M. & Hamers, H.J.M. & Tijs, S.H., 1997. "On the consistency of reward allocation rules in sequencing situations," Other publications TiSEM 72fc3d77-49bf-476f-a6e6-7, Tilburg University, School of Economics and Management.
  79. Curiel, I. & Derks, J. & Tijs, S.H., 1989. "On balanced games and games with committee control," Other publications TiSEM 43993ad7-6225-435d-bfa4-b, Tilburg University, School of Economics and Management.
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