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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. Kuipers, Jeroen & Vermeulen, Dries & Voorneveld, Mark, 2009. "A generalization of the Shapley-Ichiishi result," SSE/EFI Working Paper Series in Economics and Finance 711, Stockholm School of Economics.
  2. Paula Jaramillo, 2013. "Congestion in irrigation problems," DOCUMENTOS CEDE 010553, UNIVERSIDAD DE LOS ANDES-CEDE.
  3. Cristina Fernández & Peter Borm & Ruud Hendrickx & Stef Tijs, 2005. "Drop out monotonic rules for sequencing situations," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 61(3), pages 501-504, 07.
  4. 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).
  5. Dehez, Pierre & Ferey, Samuel, 2013. "How to share joint liability: A cooperative game approach," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 44-50.
  6. 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.
  7. 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.
  8. 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).
  9. Dong, Baomin & Ni, Debing & Wang, Yuntong, 2012. "Sharing a polluted river network," MPRA Paper 38839, University Library of Munich, Germany.
  10. Chun, Youngsub & Lee, Joosung, 2012. "Sequential contributions rules for minimum cost spanning tree problems," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 136-143.
  11. Klijn, F. & Slikker, M. & Tijs, S.H., 2000. "A Dual Egalitarian Solution," Discussion Paper 2000-113, Tilburg University, Center for Economic Research.
  12. 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, Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 773-798, October.
  13. Yuntong Wang, 2016. "Revenue Sharing in Airline Alliance Networks," Working Papers 1605, University of Windsor, Department of Economics.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. 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).
  19. Rosenthal, Edward C., 2013. "Shortest path games," European Journal of Operational Research, Elsevier, vol. 224(1), pages 132-140.
  20. Fragnelli, Vito & Gagliardo, Stefano, 2012. "Cooperative models for allocating an object," Economics Letters, Elsevier, vol. 117(1), pages 227-229.
  21. Debing Ni & Yuntong Wang, 2013. "Additive cost sharing on a tree," Working Papers 1307, University of Windsor, Department of Economics.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. 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.
  27. Aadland, David & Kolpin, Van, 2008. "Equity Basis Selection in Allocation Environments," MPRA Paper 8725, University Library of Munich, Germany.
  28. 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.
  29. 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).
  30. 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.
  31. 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.
  32. Helga Habis & P. Jean-Jacques Herings, 2012. "Stochastic Bankruptcy Games," IEHAS Discussion Papers 1205, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  33. Stefano Moretti & Fioravante Patrone, 2008. "Transversality of the Shapley value," TOP- An Official Journal of the Spanish Society of Statistics and Operations Research, Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 1-41, July.
  34. repec:dau:papers:123456789/7891 is not listed on IDEAS
  35. Pierre Dehez, 2013. "Cooperative provision of indivisible public goods," Theory and Decision, Springer, vol. 74(1), pages 13-29, January.
  36. Norde, H.W. & Fragnelli, V. & Garcia-Jurado, I. & Patrone, F. & Tijs, S.H., 2002. "Balancedness of infrastructure cost games," Other publications TiSEM cf8007c3-0add-412a-88ac-f, Tilburg University, School of Economics and Management.
  37. 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.
  38. Dong, Baomin & Guo, Guixia & Wang, Yuntong, 2012. "Highway toll pricing," European Journal of Operational Research, Elsevier, vol. 220(3), pages 744-751.
  39. 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).
  40. 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.
  41. 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.
  42. 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).
  43. 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.
  44. 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.
  45. 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.
  46. 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.
  47. Hamers, Herbert, 1997. "On the concavity of delivery games," European Journal of Operational Research, Elsevier, vol. 99(2), pages 445-458, June.
  48. 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.
  49. 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.
  50. 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.
  51. 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.
  52. Jorge Alcalde-Unzu & Maria Gomez-Rua & Elena Molis, 2013. "Sharing the costs of cleaning a river: the Upstream Responsibility rule," ThE Papers 13/03, Department of Economic Theory and Economic History of the University of Granada..
  53. Voorneveld, M. & Grahn, S., 2001. "A Minimal Test for Convex Games and the Shapley Value," Papers 2001:02, Uppsala - Working Paper Series.
  54. 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.
  55. 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.
  56. 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.
  57. 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).
  58. Sonmez, Tayfun O., 2014. "Population-Monotonicity of the Nucleolus on a Class of Public Good Problems," MPRA Paper 58248, University Library of Munich, Germany.
  59. 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.
  60. 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.
  61. 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).
  62. 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.
  63. 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.
  64. 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.
  65. Sylvain Ferrières, 2016. "Smoothness, nullified equal loss property and equal division values," Working Papers 2016-01, CRESE.
  66. 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.
  67. Farrokhi, Mahmoud, 2011. "Coalition formation in the Airport Problem," Center for Mathematical Economics Working Papers 416, Center for Mathematical Economics, Bielefeld University.
  68. 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.
  69. 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, Sociedad de Estadística e Investigación Operativa, vol. 1(1), pages 1-36, December.
  70. 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.
  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. 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.
  73. 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.
  74. 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.
  75. Fragnelli, Vito & Marina, Maria Erminia, 2010. "An axiomatic characterization of the Baker-Thompson rule," Economics Letters, Elsevier, vol. 107(2), pages 85-87, May.
  76. 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.
  77. Yuntong Wang, 2013. "An Axiomatic Approach to the Airline Emission Fees Problem," Working Papers 1308, University of Windsor, Department of Economics.
  78. 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.
  79. 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.
  80. 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.
  81. SPRUMONT, Yves, 1999. "Coherent Cost-Sharing Rules," Cahiers de recherche 9902, Universite de Montreal, Departement de sciences economiques.
  82. 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.
  83. Bergantiños, Gustavo & Martínez, Ricardo, 2014. "Cost allocation in asymmetric trees," European Journal of Operational Research, Elsevier, vol. 237(3), pages 975-987.
  84. Alcalde, Jose & Angel Silva, Jose, 2004. "A proposal for sharing costs," Journal of Mathematical Economics, Elsevier, vol. 40(7), pages 831-845, November.
  85. Rene van den Brink & Chris Dietz, 2012. "Multi-Player Agents in Cooperative TU-Games," Tinbergen Institute Discussion Papers 12-001/1, Tinbergen Institute.
  86. 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.
  87. 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.
  88. 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).
  89. 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.
  90. 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.
  91. René Brink, 2012. "On hierarchies and communication," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 721-735, October.
  92. 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.
  93. Dehez, P., 2015. "On Harsanyi dividends and asymmetrid values," CORE Discussion Papers 2015040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  94. 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.
  95. 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.
  96. 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.
  97. 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.
  98. 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.
  99. 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.
  100. Potters, Jos & Sudholter, Peter, 1999. "Airport problems and consistent allocation rules," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 83-102, July.
  101. Pierre Dehez, 2010. "Cooperative provision of indivisible public goods," Working Papers of BETA 2010-14, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  102. 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.
  103. Sanchez-Soriano, Joaquin, 2003. "The pairwise egalitarian solution," European Journal of Operational Research, Elsevier, vol. 150(1), pages 220-231, October.
  104. 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.
  105. Bergantiños, Gustavo & Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2016. "Consistency in PERT problems," MPRA Paper 68973, University Library of Munich, Germany.
  106. 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.
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