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Citations for "A Simple Expression for the Shapley Value in a Special Case"

by S. C. Littlechild & G. Owen

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  1. Grahn-Voorneveld, Sofia, 2011. "Sharing costs in Swedish road ownership associations," Working papers in Transport Economics 2011:6, CTS - Centre for Transport Studies Stockholm (KTH and VTI).
  2. van den Brink, R. & van der Laan, G. & Herings, P.J.J. & Talman, A.J.J., 2015. "The Average Tree permission value for games with a permission tree," Other publications TiSEM 97042492-4b03-4e72-b88d-d, Tilburg University, School of Economics and Management.
  3. Ben-Shahar, Danny & Deng, Yongheng & Sulganik, Eyal, 2009. "Property appraisal in high-rises: A cooperative game theory approach," Journal of Housing Economics, Elsevier, vol. 18(1), pages 25-33, March.
  4. Stef Tijs & Gert-Jan Otten, 1993. "Compromise values in cooperative game theory," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 1(1), pages 1-36, December.
  5. Robert Aumann, 2010. "Some non-superadditive games, and their Shapley values, in the Talmud," International Journal of Game Theory, Springer, vol. 39(1), pages 3-10, March.
  6. 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.
  7. Csóka, Péter & Jean-Jacques Herings, P. & Kóczy, László Á. & Pintér, Miklós, 2011. "Convex and exact games with non-transferable utility," European Journal of Operational Research, Elsevier, vol. 209(1), pages 57-62, February.
  8. Hendrickx, R.L.P. & Borm, P.E.M. & Timmer, J.B., 2002. "A note on NTU-convexity," Other publications TiSEM c8e46ca9-db92-4579-b793-4, Tilburg University, School of Economics and Management.
  9. MOULIN, Hervé & SPRUMONT, Yves, 2005. "Fair Allocation of Production Externalities: Recent Results," Cahiers de recherche 28-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  10. Helga Habis & P. Jean-Jacques Herings, 2011. "Transferable Utility Games with Uncertainty," IEHAS Discussion Papers 1120, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  11. Yuntong Wang, 2013. "An Axiomatic Approach to the Airline Emission Fees Problem," Working Papers 1308, University of Windsor, Department of Economics.
  12. René van den Brink & Gerard van der Laan & Valeri Vasil'ev, 2007. "Distributing Dividends in Games with Ordered Players," Tinbergen Institute Discussion Papers 06-114/1, Tinbergen Institute.
  13. Encarnaci�n Algaba & Rene van den Brink & Chris Dietz, 2013. "Cooperative Games on Accessible Union Stable Systems," Tinbergen Institute Discussion Papers 13-207/II, Tinbergen Institute.
  14. Flip Klijn & Stef Tijs & Marco Slikker, 2001. "A Dual Egalitarian Solution," Economics Bulletin, AccessEcon, vol. 3(10), pages 1-8.
  15. Hendrickx, R.L.P. & Borm, P.E.M. & Timmer, J.B., 2000. "On Convexity for NTU-Games," Discussion Paper 2000-108, Tilburg University, Center for Economic Research.
  16. Kattuman, P.A. & Green, R.J. & Bialek, J.W., 2001. "A Tracing Method for Pricing Inter-Area Electricity Trades," Cambridge Working Papers in Economics 0107, Faculty of Economics, University of Cambridge.
  17. Rene van den Brink & Chris Dietz, 2012. "Games with a Local Permission Structure: Separation of Authority and Value Generation," Tinbergen Institute Discussion Papers 12-126/II, Tinbergen Institute.
  18. Moulin, Herve & Laigret, Francois, 2011. "Equal-need sharing of a network under connectivity constraints," Games and Economic Behavior, Elsevier, vol. 72(1), pages 314-320, May.
  19. Mikel �lvarez-Mozos & Ren� van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games," Tinbergen Institute Discussion Papers 15-072/II, Tinbergen Institute.
  20. Voorneveld, Mark & Grahn, Sofia, 2001. "A Minimal Test for Convex Games and the Shapley Value," Working Paper Series 2001:2, Uppsala University, Department of Economics.
  21. Rene van den Brink & Jean-Jacques Herings & Gerard van der Laan & Dolf Talman, 2012. "The Average Tree Permission Value for Games with a Permission Tree," Tinbergen Institute Discussion Papers 13-023/II, Tinbergen Institute.
  22. Judit Markus & Anna Radvanyi & Miklos Pinter, 2012. "The Shapley Value for Airport and Irrigation Games," IEHAS Discussion Papers 1207, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  23. Fragnelli, Vito & Gagliardo, Stefano, 2012. "Cooperative models for allocating an object," Economics Letters, Elsevier, vol. 117(1), pages 227-229.
  24. Martin Shubik, 1984. "The Cooperative Form, the Value and the Allocation of Joint Costs and Benefits," Cowles Foundation Discussion Papers 706, Cowles Foundation for Research in Economics, Yale University.
  25. Geoffroy de Clippel & Camelia Bejan, 2009. "No Profitable Decomposition in Quasi-Linear Allocation Problems," Working Papers 2009-6, Brown University, Department of Economics.
  26. Beare, Stephen & Heaney, Anna & Pechey, Lili, 2006. "Irrigation infrastructure charging: Non-rival access, cost sharing and exclusion," 2006 Conference (50th), February 8-10, 2006, Sydney, Australia 137992, Australian Agricultural and Resource Economics Society.
  27. Paula Jaramillo, 2013. "Congestion in irrigation problems," DOCUMENTOS CEDE 010553, UNIVERSIDAD DE LOS ANDES-CEDE.
  28. José Alcalde & Matthias Dahm, 2007. "Tullock and Hirshleifer: a meeting of the minds," Review of Economic Design, Springer, vol. 11(2), pages 101-124, September.
  29. Rene van den Brink & Chris Dietz, 2012. "Games with a Local Permission Structure: Separation of Authority and Value Generation," Tinbergen Institute Discussion Papers 12-126/II, Tinbergen Institute.
  30. Alcalde-Unzu, Jorge & Gómez-Rúa, María & Molis, Elena, 2015. "Sharing the costs of cleaning a river: the Upstream Responsibility rule," Games and Economic Behavior, Elsevier, vol. 90(C), pages 134-150.
  31. Pierre Dehez, 2013. "Cooperative provision of indivisible public goods," Theory and Decision, Springer, vol. 74(1), pages 13-29, January.
  32. Ren� van den Brink & Gerard van der Laan & Valeri Vasil'ev, 0000. "The Restricted Core for Totally Positive Games with Ordered Players," Tinbergen Institute Discussion Papers 09-038/1, Tinbergen Institute.
  33. René Brink & P. Herings & Gerard Laan & A. Talman, 2015. "The Average Tree permission value for games with a permission tree," Economic Theory, Springer, vol. 58(1), pages 99-123, January.
  34. Belik, Ivan & Jörnsten, Kurt, 2014. "Centrality Computation in Weighted Networks Based on Edge-Splitting Procedure," Discussion Papers 2014/40, Department of Business and Management Science, Norwegian School of Economics.
  35. 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.
  36. Jeroen Kuipers & Dries Vermeulen & Mark Voorneveld, 2010. "A generalization of the Shapley–Ichiishi result," International Journal of Game Theory, Springer, vol. 39(4), pages 585-602, October.
  37. repec:dgr:kubcen:2013001 is not listed on IDEAS
  38. Stefano Moretti & Fioravante Patrone, 2008. "Transversality of the Shapley value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 16(1), pages 1-41, July.
  39. René van den Brink & Gerard van der Laan & Valeri Vasil'ev, 2007. "Distributing Dividends in Games with Ordered Players," Tinbergen Institute Discussion Papers 06-114/1, Tinbergen Institute.
  40. Rene van den Brink & Chris Dietz, 2012. "Multi-Player Agents in Cooperative TU-Games," Tinbergen Institute Discussion Papers 12-001/1, Tinbergen Institute.
  41. Rene van den Brink & Chris Dietz, 2012. "Games with a Local Permission Structure: Separation of Authority and Value Generation," Tinbergen Institute Discussion Papers 12-126/II, Tinbergen Institute.
  42. Rene van den Brink & Chris Dietz, 2012. "Multi-Player Agents in Cooperative TU-Games," Tinbergen Institute Discussion Papers 12-001/1, Tinbergen Institute.
  43. Sonmez, Tayfun O., 2014. "Population-Monotonicity of the Nucleolus on a Class of Public Good Problems," MPRA Paper 58248, University Library of Munich, Germany.
  44. J. Arin & E. Inarra & P. Luquin, 2009. "A noncooperative view on two airport cost sharing rules," Review of Economic Design, Springer, vol. 13(4), pages 361-376, December.
  45. Hougaard, Jens Leth & Tvede, Mich & Østerdal, Lars Peter, 2013. "Cost Sharing in Chains and Other Fixed Trees," Discussion Papers of Business and Economics 12/2013, Department of Business and Economics, University of Southern Denmark.
  46. Encarnaci�n Algaba & Rene van den Brink & Chris Dietz, 2013. "Cooperative Games on Accessible Union Stable Systems," Tinbergen Institute Discussion Papers 13-207/II, Tinbergen Institute.
  47. DEHEZ, Pierre & FEREY, Samuel, . "How to share joint liability: a cooperative game approach," CORE Discussion Papers RP -2473, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  48. Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2002. "Convex Fuzzy Games and Participation Monotonic Allocation Schemes," Discussion Paper 2002-13, Tilburg University, Center for Economic Research.
  49. René Brink & Gerard Laan & Valeri Vasil’ev, 2014. "Constrained core solutions for totally positive games with ordered players," International Journal of Game Theory, Springer, vol. 43(2), pages 351-368, May.
  50. Rene van den Brink & Jean-Jacques Herings & Gerard van der Laan & Dolf Talman, 2012. "The Average Tree Permission Value for Games with a Permission Tree," Tinbergen Institute Discussion Papers 13-023/II, Tinbergen Institute.
  51. René Brink, 2012. "On hierarchies and communication," Social Choice and Welfare, Springer, vol. 39(4), pages 721-735, October.
  52. Moulin, Herve, 2001. "Axiomatic Cost and Surplis-Sharing," Working Papers 2001-06, Rice University, Department of Economics.
  53. repec:dgr:uvatin:0000038 is not listed on IDEAS
  54. Dong, Baomin & Guo, Guixia & Wang, Yuntong, 2012. "Highway toll pricing," European Journal of Operational Research, Elsevier, vol. 220(3), pages 744-751.
  55. Debing Ni & Yuntong Wang, 2013. "Additive cost sharing on a tree," Working Papers 1307, University of Windsor, Department of Economics.
  56. Orzach, Ram & Forges, Françoise, 2011. "Core-stable rings in second price auctions with common values," Economics Papers from University Paris Dauphine 123456789/7891, Paris Dauphine University.
  57. René Brink & Yukihiko Funaki, 2009. "Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games," Theory and Decision, Springer, vol. 67(3), pages 303-340, September.
  58. Hu, Cheng-Cheng & Tsay, Min-Hung & Yeh, Chun-Hsien, 2012. "Axiomatic and strategic justifications for the constrained equal benefits rule in the airport problem," Games and Economic Behavior, Elsevier, vol. 75(1), pages 185-197.
  59. Pierre Dehez, 2010. "Cooperative provision of indivisible public goods," Working Papers of BETA 2010-14, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  60. Chun Youngsub & Kayi Çağatay & Yeh Chun-Hsien, 2008. "Consistency and the sequential equal contributions rule for airport problems," Research Memorandum 039, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  61. Grahn-Voorneveld, Sofia, 2012. "Sharing costs in Swedish road ownership associations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(4), pages 645-651.
  62. Norde, Henk & Fragnelli, Vito & Garcia-Jurado, Ignacio & Patrone, Fioravante & Tijs, Stef, 2002. "Balancedness of infrastructure cost games," European Journal of Operational Research, Elsevier, vol. 136(3), pages 635-654, February.
  63. Kuipers, Jeroen & Mosquera, Manuel A. & Zarzuelo, José M., 2013. "Sharing costs in highways: A game theoretic approach," European Journal of Operational Research, Elsevier, vol. 228(1), pages 158-168.
  64. Ren� van den Brink & Enrique Gonz�lez-Aranguena & Conrado Manuel & M�nica del Pozo, 2013. "Order Monotonic Solutions for Generalized Characteristic Functions," Tinbergen Institute Discussion Papers 13-093/II, Tinbergen Institute.
  65. Fragnelli, Vito & Marina, Maria Erminia, 2010. "An axiomatic characterization of the Baker-Thompson rule," Economics Letters, Elsevier, vol. 107(2), pages 85-87, May.
  66. Tamas Solymosi & Balazs Sziklai, 2015. "Universal Characterization Sets for the Nucleolus in Balanced Games," IEHAS Discussion Papers 1512, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  67. Habis Helga & Herings P. Jean-Jacques, 2011. "Stochastic Bankruptcy Games," Research Memorandum 045, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  68. Belik, Ivan & Jörnsten, Kurt, 2015. "Shapley-Based Stackelberg Leadership Formation in Networks," Discussion Papers 2015/16, Department of Business and Management Science, Norwegian School of Economics.
  69. Dong, Baomin & Ni, Debing & Wang, Yuntong, 2012. "Sharing a polluted river network," MPRA Paper 38839, University Library of Munich, Germany.
  70. Yuji Fujinaka & Toyotaka Sakai, 2009. "The positive consequence of strategic manipulation in indivisible good allocation," International Journal of Game Theory, Springer, vol. 38(3), pages 325-348, November.
  71. Bergantiños, Gustavo & Martínez, Ricardo, 2014. "Cost allocation in asymmetric trees," European Journal of Operational Research, Elsevier, vol. 237(3), pages 975-987.
  72. Ryusuke Shinohara, 2014. "Participation and demand levels for a joint project," Social Choice and Welfare, Springer, vol. 43(4), pages 925-952, December.
  73. Sanchez-Soriano, Joaquin, 2003. "The pairwise egalitarian solution," European Journal of Operational Research, Elsevier, vol. 150(1), pages 220-231, October.
  74. repec:dgr:uvatin:2007114 is not listed on IDEAS
  75. Alcalde, Jose & Angel Silva, Jose, 2004. "A proposal for sharing costs," Journal of Mathematical Economics, Elsevier, vol. 40(7), pages 831-845, November.
  76. Potters, Jos & Sudholter, Peter, 1999. "Airport problems and consistent allocation rules," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 83-102, July.
  77. Danny Ben-Shahar & Yongheng Deng & Eyal Sulganik, 2006. "Shapley Cost Allocation Coincides with Relative Status: The Case of Skyscrapers," Working Paper 8567, USC Lusk Center for Real Estate.
  78. Ren� van den Brink, 2009. "Comparable Axiomatizations of the Myerson Value, the Restricted Banzhaf Value, Hierarchical Outcomes and the Average Tree Solution for Cycle-Free Graph Restricted Games," Tinbergen Institute Discussion Papers 09-108/1, Tinbergen Institute.
  79. Habis, Helga, 2012. "Sztochasztikus csődjátékok - avagy hogyan osszunk szét egy bizonytalan méretű tortát?
    [Stochastic bankruptcy games. How can a cake of uncertain dimensions be divided?]
    ," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(12), pages 1299-1310.
  80. Casas-Mendez, Balbina & Garcia-Jurado, Ignacio & van den Nouweland, Anne & Vazquez-Brage, Margarita, 2003. "An extension of the [tau]-value to games with coalition structures," European Journal of Operational Research, Elsevier, vol. 148(3), pages 494-513, August.
  81. Sprumont, Yves, 2000. "Coherent Cost-Sharing Rules," Games and Economic Behavior, Elsevier, vol. 33(1), pages 126-144, October.
  82. Yan-An Hwang & Chun-Hsien Yeh, 2012. "A characterization of the nucleolus without homogeneity in airport problems," Social Choice and Welfare, Springer, vol. 38(2), pages 355-364, February.
  83. Ren� van den Brink & Gerard van der Laan & Valeri Vasil'ev, 0000. "The Restricted Core for Totally Positive Games with Ordered Players," Tinbergen Institute Discussion Papers 09-038/1, Tinbergen Institute.
  84. Brânzei, R. & Inarra, E. & Tijs, S.H. & Zarzuelo, J., 2003. "An Algorithm for the Nucleolus of Airport Profit Problems," Discussion Paper 2003-50, Tilburg University, Center for Economic Research.
  85. Jens Leth Hougaard & Mich Tvede, 2011. "Incremental Cost Sharing in Chains and Fixed Trees," MSAP Working Paper Series 02_2011, University of Copenhagen, Department of Food and Resource Economics.
  86. René Brink & Yukihiko Funaki & Yuan Ju, 2013. "Reconciling marginalism with egalitarianism: consistency, monotonicity, and implementation of egalitarian Shapley values," Social Choice and Welfare, Springer, vol. 40(3), pages 693-714, March.
  87. Youngsub Chun & Boram Park, 2012. "Population solidarity, population fair-ranking, and the egalitarian value," International Journal of Game Theory, Springer, vol. 41(2), pages 255-270, May.
  88. José Alcalde & José Angel Silva, 2000. "- A Procedure For Sharing Recycling Costs," Working Papers. Serie AD 2000-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  89. Vásquez-Brage, M. & van den Nouweland, C.G.A.M. & García-Jurado, I., 1995. "Owen's coalitional value and aircraft landing fees," Discussion Paper 1995-104, Tilburg University, Center for Economic Research.
  90. Rosenthal, Edward C., 2013. "Shortest path games," European Journal of Operational Research, Elsevier, vol. 224(1), pages 132-140.
  91. René Brink & Chris Dietz, 2014. "Games with a local permission structure: separation of authority and value generation," Theory and Decision, Springer, vol. 76(3), pages 343-361, March.
  92. Aadland, David & Kolpin, Van, 2008. "Equity Basis Selection in Allocation Environments," MPRA Paper 8725, University Library of Munich, Germany.
  93. Luquin, Paloma & Arin Aguirre, Francisco Javier & Iñarra García, María Elena, 2006. "A noncooperative view on two consistent aiport cost sharing rules," IKERLANAK 2006-23, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  94. Grahn Sofia & Kuijpers Jeroen & Vermeulen Dries & Voorneveld Mark, 2003. "A Generalization Of The Shapley-Ichiishi Result And Its Application To Convex Games," Research Memorandum 033, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  95. Ren� van den Brink, 2009. "Comparable Axiomatizations of the Myerson Value, the Restricted Banzhaf Value, Hierarchical Outcomes and the Average Tree Solution for Cycle-Free Graph Restricted Games," Tinbergen Institute Discussion Papers 09-108/1, Tinbergen Institute.
  96. Hamers, Herbert, 1997. "On the concavity of delivery games," European Journal of Operational Research, Elsevier, vol. 99(2), pages 445-458, June.
  97. Borm, P.E.M. & Fernández, C. & Hendrickx, R.L.P. & Tijs, S.H., 2005. "Drop out monotonic rules for sequencing situations," Other publications TiSEM d0642261-4e55-45ca-9b23-6, Tilburg University, School of Economics and Management.
  98. Mikel Álvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure," CER-ETH Economics working paper series 15/215, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
  99. Rodica Brânzei & Elena Iñarra & Stef Tijs & José Zarzuelo, 2006. "A Simple Algorithm for the Nucleolus of Airport Profit Games," International Journal of Game Theory, Springer, vol. 34(2), pages 259-272, August.
  100. Chun, Youngsub & Lee, Joosung, 2012. "Sequential contributions rules for minimum cost spanning tree problems," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 136-143.
  101. Borm, P.E.M. & Hamers, H.J.M. & Hendrickx, R.L.P., 2001. "Operations Research Games : A Survey," Discussion Paper 2001-45, Tilburg University, Center for Economic Research.
  102. Ren� van den Brink & Enrique Gonz�lez-Aranguena & Conrado Manuel & M�nica del Pozo, 2013. "Order Monotonic Solutions for Generalized Characteristic Functions," Tinbergen Institute Discussion Papers 13-093/II, Tinbergen Institute.
  103. Balbina Casas-Mendez & Vito Fragnelli & Ignacio Garcìa-Jurado, 2014. "A survey of allocation rules for the museum pass problem," Journal of Cultural Economics, Springer, vol. 38(2), pages 191-205, May.
  104. Carmen Herrero Blanco & Paula González, 2001. "Optimal Sharing Of Surgical Costs In The Presence Of Queues," Working Papers. Serie AD 2001-27, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  105. Belik, Ivan & Jörnsten, Kurt, 2015. "The Analysis of Leadership Formation in Networks Based on Shapley Value," Discussion Papers 2015/2, Department of Business and Management Science, Norwegian School of Economics.
  106. María Gómez-Rúa, 2013. "Sharing a polluted river through environmental taxes," SERIEs, Spanish Economic Association, vol. 4(2), pages 137-153, June.
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