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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. 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.
  2. 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).
  3. 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.
  4. René van den Brink, 2006. "On Hierarchies and Communication," Tinbergen Institute Discussion Papers 06-056/1, Tinbergen Institute.
  5. Forges, Françoise & Orzach, Ram, 2011. "Core-stable rings in second price auctions with common values," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 760-767.
  6. Alcalde, Jose & Angel Silva, Jose, 2004. "A proposal for sharing costs," Journal of Mathematical Economics, Elsevier, vol. 40(7), pages 831-845, November.
  7. 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.
  8. 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.
  9. 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.
  10. Moulin, Herve, 2002. "Axiomatic cost and surplus sharing," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 6, pages 289-357 Elsevier.
  11. 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.
  12. Pierre Dehez, 2010. "Cooperative provision of indivisible public goods," Working Papers of BETA 2010-14, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  13. 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).
  14. 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.
  15. Debing Ni & Yuntong Wang, 2013. "Additive cost sharing on a tree," Working Papers 1307, University of Windsor, Department of Economics.
  16. 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.
  17. 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;Sociedad de Estadística e Investigación Operativa, vol. 1(1), pages 1-36, December.
  18. Dehez, P., 2015. "On Harsanyi dividends and asymmetrid values," CORE Discussion Papers 2015040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  19. José Alcalde & Matthias Dahm, 2007. "Tullock And Hirshleifer: A Meeting Of The Minds," Working Papers. Serie AD 2007-13, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  20. Sprumont, Yves, 2000. "Coherent Cost-Sharing Rules," Games and Economic Behavior, Elsevier, vol. 33(1), pages 126-144, October.
  21. dEHEZ, Pierre, 2010. "Cooperative provision of indivisible public goods," CORE Discussion Papers 2010026, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  22. 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.
  23. Hougaard, J. & Moreno-Ternero, J. & Tvede, M. & Osterdal, L., 2015. "Sharing the proceeds from a hierarchical venture," CORE Discussion Papers 2015031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  24. 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.
  25. 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.
  26. Paula Jaramillo, 2013. "Congestion in irrigation problems," DOCUMENTOS CEDE 010553, UNIVERSIDAD DE LOS ANDES-CEDE.
  27. van den Brink, René & González-Arangüena, Enrique & Manuel, Conrado & del Pozo, Mónica, 2014. "Order monotonic solutions for generalized characteristic functions," European Journal of Operational Research, Elsevier, vol. 238(3), pages 786-796.
  28. 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.
  29. Sonmez, Tayfun O., 2014. "Population-Monotonicity of the Nucleolus on a Class of Public Good Problems," MPRA Paper 58248, University Library of Munich, Germany.
  30. Paula González & Carmen Herrero, 2004. "Optimal sharing of surgical costs in the presence of queues," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 59(3), pages 435-446, 07.
  31. René 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.
  32. 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.
  33. Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2003. "Convex fuzzy games and participation monotonic allocation schemes," Other publications TiSEM fbae679e-d7f4-4601-a785-1, Tilburg University, School of Economics and Management.
  34. Bergantiños, Gustavo & Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2016. "Consistency in PERT problems," MPRA Paper 68973, University Library of Munich, Germany.
  35. 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.
  36. Flores, Robert J. & Shaffer, Brendan P. & Brouwer, Jacob, 2016. "Electricity costs for an electric vehicle fueling station with Level 3 charging," Applied Energy, Elsevier, vol. 169(C), pages 813-830.
  37. van den Brink, J.R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The average tree permission value for games with a permission tree," Research Memorandum 001, Maastricht University, Graduate School of Business and Economics (GSBE).
  38. Demuynck, Thomas & Rock, Bram De & Ginsburgh, Victor, 2016. "The transfer paradox in welfare space," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 1-4.
  39. Ryusuke Shinohara, 2014. "Participation and demand levels for a joint project," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 925-952, December.
  40. 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.
  41. 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.
  42. 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.
  43. Potters, Jos & Sudholter, Peter, 1999. "Airport problems and consistent allocation rules," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 83-102, July.
  44. Yuntong Wang, 2013. "An Axiomatic Approach to the Airline Emission Fees Problem," Working Papers 1308, University of Windsor, Department of Economics.
  45. 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.
  46. 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.
  47. Jeroen Kuipers & Dries Vermeulen & Mark Voorneveld, 2010. "A generalization of the Shapley–Ichiishi result," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 585-602, October.
  48. René 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.
  49. Dehez, Pierre & Ferey, Samuel, 2013. "How to share joint liability: A cooperative game approach," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 44-50.
  50. René Brink & René Levínský & Miroslav Zelený, 2015. "On proper Shapley values for monotone TU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 449-471, May.
  51. Klijn, F. & Slikker, M. & Tijs, S.H., 2001. "A dual egalitarian solution," Other publications TiSEM 67e789f7-49fd-4dba-9142-a, Tilburg University, School of Economics and Management.
  52. 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.
  53. 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.
  54. Stefano Moretti & Fioravante Patrone, 2008. "Transversality of the Shapley value," TOP- An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 1-41, July.
  55. DEHEZ, Pierre & FEREY, Samuel, 2012. "How to share joint liability: a cooperative game approach," CORE Discussion Papers 2012023, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  56. Fragnelli, Vito & Marina, Maria Erminia, 2010. "An axiomatic characterization of the Baker-Thompson rule," Economics Letters, Elsevier, vol. 107(2), pages 85-87, May.
  57. Dong, Baomin & Guo, Guixia & Wang, Yuntong, 2012. "Highway toll pricing," European Journal of Operational Research, Elsevier, vol. 220(3), pages 744-751.
  58. Dong, Baomin & Ni, Debing & Wang, Yuntong, 2012. "Sharing a polluted river network," MPRA Paper 38839, University Library of Munich, Germany.
  59. 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.
  60. Habis Helga & Herings P. Jean-Jacques, 2010. "Transferable Utility Games with Uncertainty," Research Memorandum 038, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  61. 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.
  62. Bergantiños, Gustavo & Martínez, Ricardo, 2014. "Cost allocation in asymmetric trees," European Journal of Operational Research, Elsevier, vol. 237(3), pages 975-987.
  63. Borm, P.E.M. & Hamers, H.J.M. & Hendrickx, R.L.P., 2001. "Operations research games : A survey," Other publications TiSEM 755a430b-592f-400b-ba18-9, Tilburg University, School of Economics and Management.
  64. Yan-An Hwang & Chun-Hsien Yeh, 2012. "A characterization of the nucleolus without homogeneity in airport problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 355-364, February.
  65. Bourheneddine Ben Dhaou & Abderrahmane Ziad, 2015. "The Free Solidarity Value," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201508, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  66. 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.
  67. 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.
  68. 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).
  69. 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.
  70. D. Granot & H. Hamers & J. Kuipers & M. Maschler, 2004. "Chinese Postman Games on a Class of Eulerian Graphs," Discussion Paper Series dp366, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  71. Encarnación Algaba & Rene van den Brink & Chris Dietz, 2013. "Cooperative Games on Accessible Union Stable Systems," Tinbergen Institute Discussion Papers 13-207/II, Tinbergen Institute.
  72. repec:dau:papers:123456789/7891 is not listed on IDEAS
  73. 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).
  74. 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;Game Theory Society, vol. 34(2), pages 259-272, August.
  75. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2016. "An Axiomatic Analysis of Joint Liability Problems with Rooted -Tree Structure," Tinbergen Institute Discussion Papers 16-042/II, Tinbergen Institute.
  76. Márkus, Judit & Pintér, Miklós & Radványi, Anna, 2011. "The Shapley value for airport and irrigation games," MPRA Paper 30031, University Library of Munich, Germany.
  77. 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.
  78. 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.
  79. 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.
  80. Rene van den Brink & Chris Dietz, 2012. "Multi-Player Agents in Cooperative TU-Games," Tinbergen Institute Discussion Papers 12-001/1, Tinbergen Institute.
  81. René Brink & Gerard Laan & Valeri Vasil’ev, 2014. "Constrained core solutions for totally positive games with ordered players," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 351-368, May.
  82. Sanchez-Soriano, Joaquin, 2003. "The pairwise egalitarian solution," European Journal of Operational Research, Elsevier, vol. 150(1), pages 220-231, October.
  83. Sylvain Ferrières, 2016. "Smoothness, nullified equal loss property and equal division values," Working Papers 2016-01, CRESE.
  84. 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.
  85. Farrokhi, Mahmoud, 2011. "Coalition formation in the Airport Problem," Center for Mathematical Economics Working Papers 416, Center for Mathematical Economics, Bielefeld University.
  86. 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.
  87. de Clippel, Geoffroy & Bejan, Camelia, 2011. "No profitable decompositions in quasi-linear allocation problems," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1995-2012, September.
  88. Robert Aumann, 2010. "Some non-superadditive games, and their Shapley values, in the Talmud," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 3-10, March.
  89. Mikel Álvarez-Mozos & René 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.
  90. Rosenthal, Edward C., 2013. "Shortest path games," European Journal of Operational Research, Elsevier, vol. 224(1), pages 132-140.
  91. María Gómez-Rúa, 2013. "Sharing a polluted river through environmental taxes," SERIEs- Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 4(2), pages 137-153, June.
  92. 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.
  93. René Brink & Yukihiko Funaki & Yuan Ju, 2013. "Reconciling marginalism with egalitarianism: consistency, monotonicity, and implementation of egalitarian Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 693-714, March.
  94. 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.
  95. Hamers, Herbert, 1997. "On the concavity of delivery games," European Journal of Operational Research, Elsevier, vol. 99(2), pages 445-458, June.
  96. Yuji Fujinaka & Toyotaka Sakai, 2009. "The positive consequence of strategic manipulation in indivisible good allocation," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(3), pages 325-348, November.
  97. 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.
  98. J. Arin & E. Inarra & P. Luquin, 2009. "A noncooperative view on two airport cost sharing rules," Review of Economic Design, Springer;Society for Economic Design, vol. 13(4), pages 361-376, December.
  99. Youngsub Chun & Boram Park, 2012. "Population solidarity, population fair-ranking, and the egalitarian value," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 255-270, May.
  100. 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.
  101. Julio González-Díaz & Miguel Mirás Calvo & Carmen Sandomingo & Estela Rodríguez, 2015. "Monotonicity of the core-center of the airport game," TOP- An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 773-798, October.
  102. Yuntong Wang, 2016. "Revenue Sharing in Airline Alliance Networks," Working Papers 1605, University of Windsor, Department of Economics.
  103. Garcia-Sanz, M.D. & Fernandez, F.R. & Fiestras-Janeiro, M.G. & Garcia-Jurado, I. & Puerto, J., 2008. "Cooperation in Markovian queueing models," European Journal of Operational Research, Elsevier, vol. 188(2), pages 485-495, July.
  104. Fragnelli, Vito & Gagliardo, Stefano, 2012. "Cooperative models for allocating an object," Economics Letters, Elsevier, vol. 117(1), pages 227-229.
  105. 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).
  106. Chun, Youngsub & Lee, Joosung, 2012. "Sequential contributions rules for minimum cost spanning tree problems," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 136-143.
  107. Aadland, David & Kolpin, Van, 2008. "Equity Basis Selection in Allocation Environments," MPRA Paper 8725, University Library of Munich, Germany.
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