Axiomatization of the Shapley Value on Minimum Cost Spanning Tree Games

Citations

Cited by:

1. Gustavo Bergantiños & María Gómez-Rúa, 2010. "Minimum cost spanning tree problems with groups," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(2), pages 227-262, May.
2. Gustavo Bergantiños & Juan Vidal-Puga, 2004. "Realizing efficient outcomes in cost spanning problems," Game Theory and Information 0403001, University Library of Munich, Germany.
3. Gustavo Bergantiños & Leticia Lorenzo, 2008. "Noncooperative cost spanning tree games with budget restrictions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(8), pages 747-757, December.
4. Gustavo Bergantiños & Leticia Lorenzo, 2021. "Cost additive rules in minimum cost spanning tree problems with multiple sources," Annals of Operations Research, Springer, vol. 301(1), pages 5-15, June.
   • Bergantiños, Gustavo & Lorenzo, Leticia, 2019. "Cost additive rules in minimum cost spanning tree problems with multiple sources," MPRA Paper 96937, University Library of Munich, Germany.
5. Dutta, Bhaskar & Mishra, Debasis, 2012. "Minimum cost arborescences," Games and Economic Behavior, Elsevier, vol. 74(1), pages 120-143.
   • Dutta, Bhaskar & Mishra, Debasis, "undated". "Minimum Cost Arborescences," Economic Research Papers 271310, University of Warwick - Department of Economics.
   • Dutta, Bhaskar & Mishra, Debasis, 2009. "Minimum Cost Arborescences," The Warwick Economics Research Paper Series (TWERPS) 889, University of Warwick, Department of Economics.
   • Bhaskar Dutta & Debasis Mishra, 2008. "Minimum cost arborescences," Discussion Papers 08-12, Indian Statistical Institute, Delhi.
6. Davila-Pena, Laura & Borm, Peter & Garcia-Jurado, Ignacio & Schouten, Jop, 2023. "An Allocation Rule for Graph Machine Scheduling Problems," Discussion Paper 2023-009, Tilburg University, Center for Economic Research.
   • Davila-Pena, Laura & Borm, Peter & Garcia-Jurado, Ignacio & Schouten, Jop, 2023. "An Allocation Rule for Graph Machine Scheduling Problems," Other publications TiSEM 17013f33-1d65-4294-802c-b, Tilburg University, School of Economics and Management.
7. Trudeau, Christian, 2014. "Minimum cost spanning tree problems with indifferent agents," Games and Economic Behavior, Elsevier, vol. 84(C), pages 137-151.
   • Christian Trudeau, 2013. "Minimum cost spanning tree problems with indifferent agents," Working Papers 1306, University of Windsor, Department of Economics.
8. Gomez-Rua, Maria & Vidal-Puga, Juan, 2006. "No advantageous merging in minimum cost spanning tree problems," MPRA Paper 601, University Library of Munich, Germany.
9. José-Manuel Giménez-Gómez & Josep E. Peris & Begoña Subiza, 2022. "A claims problem approach to the cost allocation of a minimum cost spanning tree," Operational Research, Springer, vol. 22(3), pages 2785-2801, July.
10. Norde, Henk, 2019. "The degree and cost adjusted folk solution for minimum cost spanning tree games," Games and Economic Behavior, Elsevier, vol. 113(C), pages 734-742.
11. Brânzei, R. & Moretti, S. & Norde, H.W. & Tijs, S.H., 2003. "The P-Value for Cost Sharing in Minimum Cost Spanning Tree Situations," Discussion Paper 2003-129, Tilburg University, Center for Economic Research.
    • Brânzei, R. & Moretti, S. & Norde, H.W. & Tijs, S.H., 2004. "The P-value for cost sharing in minimum cost spanning tree situations," Other publications TiSEM b41d77ef-69cb-4ffa-8309-d, Tilburg University, School of Economics and Management.
12. Begoña Subiza & Josep E. Peris, 2021. "Sharing the cost of maximum quality optimal spanning trees," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 470-493, July.
    • Begoña Subiza & Josep E. Peris, 2019. "Sharing the Cost of Maximum Quality Optimal Spanning Trees," QM&ET Working Papers 19-2, University of Alicante, D. Quantitative Methods and Economic Theory.
13. Christian Trudeau, 2023. "Minimum cost spanning tree problems as value sharing problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 253-272, March.
    • Christian Trudeau, 2021. "Minimum cost spanning tree problems as value sharing problems," Working Papers 2101, University of Windsor, Department of Economics.
14. José-Manuel Giménez-Gómez & Josep E Peris & Begoña Subiza, 2020. "An egalitarian approach for sharing the cost of a spanning tree," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-14, July.
    • José M Giménez-Gómez & Josep E Peris & Begoña Subiza, 2019. "An Egalitarian Approach for Sharing the Cost of a Spanning Tree," QM&ET Working Papers 19-3, University of Alicante, D. Quantitative Methods and Economic Theory.
    • Giménez Gómez, José M. (José Manuel) & Peris, Josep E. & Subiza, Begoña, 2019. "An egalitarian approach for sharing the cost of a spanning tree," Working Papers 2072/376029, Universitat Rovira i Virgili, Department of Economics.
15. Bergantiños, Gustavo & Vidal-Puga, Juan, 2010. "Realizing fair outcomes in minimum cost spanning tree problems through non-cooperative mechanisms," European Journal of Operational Research, Elsevier, vol. 201(3), pages 811-820, March.
16. Bergantinos, Gustavo & Vidal-Puga, Juan J., 2007. "A fair rule in minimum cost spanning tree problems," Journal of Economic Theory, Elsevier, vol. 137(1), pages 326-352, November.
    • Gustavo Bergantiños & Juan Vidal-Puga, 2005. "A fair rule in minimum cost spanning tree problems," Game Theory and Information 0504001, University Library of Munich, Germany.
17. Giménez Gómez, José M. (José Manuel) & Subiza, Begoña & Peris, Josep E., 2014. "Conflicting claims problem associated with cost sharing of a network," Working Papers 2072/242273, Universitat Rovira i Virgili, Department of Economics.
    • José-Manuel Giménez-Gómez & Begoña Subiza & Josep Peris, 2014. "Conflicting Claims Problem Associated with Cost Sharing of a Network," QM&ET Working Papers 14-3, University of Alicante, D. Quantitative Methods and Economic Theory.
18. Christian Trudeau, 2014. "Characterizations of the cycle-complete and folk solutions for minimum cost spanning tree problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(4), pages 941-957, April.
    • Christian Trudeau, 2013. "Characterizations of the cycle-complete and folk solutions for minimum cost spanning tree problems," Working Papers 1303, University of Windsor, Department of Economics.
19. Norde, H.W., 2013. "The Degree and Cost Adjusted Folk Solution for Minimum Cost Spanning Tree Games," Other publications TiSEM 7ac3a323-f736-46a6-b568-c, Tilburg University, School of Economics and Management.
20. Christian Trudeau, 2014. "Linking the Kar and folk solutions through a problem separation property," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(4), pages 845-870, November.
    • Christian Trudeau, 2013. "Linking the Kar and Folk Solutions Through a Problem Separation Property," Working Papers 1301, University of Windsor, Department of Economics.
21. Bergantiños, Gustavo & Vidal-Puga, Juan, 2020. "Cooperative games for minimum cost spanning tree problems," MPRA Paper 104911, University Library of Munich, Germany.
22. María Gómez-Rúa & Juan Vidal-Puga, 2017. "A monotonic and merge-proof rule in minimum cost spanning tree situations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 813-826, March.
    • Gómez-Rúa, María & Vidal-Puga, Juan, 2015. "A monotonic and merge-proof rule in minimum cost spanning tree situations," MPRA Paper 62923, University Library of Munich, Germany.
23. Hernández, Penélope & Peris, Josep E. & Silva-Reus, José A., 2016. "Strategic sharing of a costly network," Journal of Mathematical Economics, Elsevier, vol. 66(C), pages 72-82.
    • Penélope Hernández & Josep E. Peris & José A. Silva-Reus, 2012. "Strategic Sharing of a Costly Network," QM&ET Working Papers 12-10, University of Alicante, D. Quantitative Methods and Economic Theory.
24. José M. Giménez-Gómez & Josep E. Peris & Begoña Subiza, 2016. "A `Solidarity' Approach to the Problem of Sharing a Network Cost," QM&ET Working Papers 16-5, University of Alicante, D. Quantitative Methods and Economic Theory.
    • Giménez Gómez, José M. (José Manuel) & Subiza, Begoña, 2016. "A `solidarity' approach to the problem of sharing a network cost," Working Papers 2072/290742, Universitat Rovira i Virgili, Department of Economics.
25. Bergantiños, Gustavo & Martínez, Ricardo, 2014. "Cost allocation in asymmetric trees," European Journal of Operational Research, Elsevier, vol. 237(3), pages 975-987.
26. Julio R. Fernández & Inés Gallego & Andrés Jiménez-Losada & Manuel Ordóñez, 2022. "Cost-allocation problems for fuzzy agents in a fixed-tree network," Fuzzy Optimization and Decision Making, Springer, vol. 21(4), pages 531-551, December.
27. Bergantinos, Gustavo & Lorenzo-Freire, Silvia, 2008. ""Optimistic" weighted Shapley rules in minimum cost spanning tree problems," European Journal of Operational Research, Elsevier, vol. 185(1), pages 289-298, February.
28. Hernández, Penélope & Peris, Josep E. & Vidal-Puga, Juan, 2023. "A non-cooperative approach to the folk rule in minimum cost spanning tree problems," European Journal of Operational Research, Elsevier, vol. 307(2), pages 922-928.
    • Penélope Hernández & Peris Josep E. & Juan Vidal-Puga, 2019. "A Non-Cooperative Approach to the Folk Rule in Minimum Cost Spanning Tree Problems," QM&ET Working Papers 19-5, University of Alicante, D. Quantitative Methods and Economic Theory.
29. Ciftci, B.B. & Tijs, S.H., 2007. "A Vertex Oriented Approach to Minimum Cost Spanning Tree Problems," Discussion Paper 2007-89, Tilburg University, Center for Economic Research.
30. Duygu Yengin, 2012. "Characterizing the Shapley value in fixed-route traveling salesman problems with appointments," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 271-299, May.
    • Duygu Yengin, 2010. "Characterizing the Shapley Value in Fixed-Route Traveling Salesman Problems with Appointments," Adelaide Economics Working Papers 2010-32, Adelaide University, School of Economics.
31. Dutta, Bhaskar & Kar, Anirban, 2004. "Cost monotonicity, consistency and minimum cost spanning tree games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 223-248, August.
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    • Bhaskar Dutta & Anirban Kar, 2002. "Cost monotonicity, consistency and minimum cost spanning tree games," Discussion Papers 02-04, Indian Statistical Institute, Delhi.
    • Dutta, Bhaskar & Kar, Anirban, 2002. "Cost Monotonicity, Consistency And Minimum Cost Spanning Tree Games," The Warwick Economics Research Paper Series (TWERPS) 629, University of Warwick, Department of Economics.
32. Sylvain Béal & Adriana Navarro-Ramos & Eric Rémila & Philippe Solal, 2023. "Sharing the cost of hazardous transportation networks and the Priority Shapley value," Working Papers hal-04222245, HAL.
    • Sylvain Béal & Adriana Navarro-Ramos & Eric Rémila & Philippe Solal, 2023. "Sharing the cost of hazardous transportation networks and the Priority Shapley value," Working Papers 2023-03, CRESE.
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34. Changyong Han & Bawoo Kim & Youngsub Chun, 2024. "Demand operators and the Dutta–Kar rule for minimum cost spanning tree problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(1), pages 101-124, August.
35. Quant, Marieke & Borm, Peter & Reijnierse, Hans, 2006. "Congestion network problems and related games," European Journal of Operational Research, Elsevier, vol. 172(3), pages 919-930, August.
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    • Quant, M. & Borm, P.E.M. & Reijnierse, J.H., 2006. "Congestion network problems and related games," Other publications TiSEM f0e1d881-73d2-4bda-9137-4, Tilburg University, School of Economics and Management.
    • Quant, M. & Borm, P.E.M. & Reijnierse, J.H., 2003. "Congestion Network Problems and Related Games," Other publications TiSEM 1a0fb713-6949-42cb-96f1-4, Tilburg University, School of Economics and Management.
36. Juarez, Ruben & Ko, Chiu Yu & Xue, Jingyi, 2018. "Sharing sequential values in a network," Journal of Economic Theory, Elsevier, vol. 177(C), pages 734-779.
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38. Ciftci, B.B. & Tijs, S.H., 2007. "A Vertex Oriented Approach to Minimum Cost Spanning Tree Problems," Other publications TiSEM 1b5a01d9-e7e4-43da-acf0-7, Tilburg University, School of Economics and Management.
39. Gustavo Bergantiños & Juan Vidal-Puga, 2004. "Additivity in cost spanning tree problems," Game Theory and Information 0405001, University Library of Munich, Germany.
40. Anna Bogomolnaia & Ron Holzman & Hervé Moulin, 2010. "Sharing the Cost of a Capacity Network," Mathematics of Operations Research, INFORMS, vol. 35(1), pages 173-192, February.
41. María Gómez-Rúa & Juan Vidal-Puga, 2011. "Merge-proofness in minimum cost spanning tree problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 309-329, May.
42. Bogomolnaia, Anna & Moulin, Hervé, 2010. "Sharing a minimal cost spanning tree: Beyond the Folk solution," Games and Economic Behavior, Elsevier, vol. 69(2), pages 238-248, July.
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46. Bergantiños, G. & Gómez-Rúa, M. & Llorca, N. & Pulido, M. & Sánchez-Soriano, J., 2014. "A new rule for source connection problems," European Journal of Operational Research, Elsevier, vol. 234(3), pages 780-788.
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48. Sylvain Béal & Adriana Navarro-Ramos & Eric Rémila & Philippe Solal, 2025. "Sharing the cost of hazardous transportation networks and the Priority Shapley value for multi-choice games," Annals of Operations Research, Springer, vol. 345(1), pages 59-103, February.
49. Gustavo Bergantiños & María Gómez-Rúa, 2015. "An axiomatic approach in minimum cost spanning tree problems with groups," Annals of Operations Research, Springer, vol. 225(1), pages 45-63, February.
50. Gustavo Bergantiños & Juan Vidal-Puga, 2015. "Characterization of monotonic rules in minimum cost spanning tree problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 835-868, November.
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51. Gustavo Bergantiños & Adriana Navarro-Ramos, 2023. "Cooperative approach to a location problem with agglomeration economies," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 63-92, March.
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52. Bergantiños, Gustavo & Lorenzo, Leticia & Lorenzo-Freire, Silvia, 2011. "A generalization of obligation rules for minimum cost spanning tree problems," European Journal of Operational Research, Elsevier, vol. 211(1), pages 122-129, May.
53. Andreas Darmann & Christian Klamler & Ulrich Pferschy, 2015. "Sharing the Cost of a Path," Studies in Microeconomics, , vol. 3(1), pages 1-12, June.
54. Bergantiños, Gustavo & Kar, Anirban, 2010. "On obligation rules for minimum cost spanning tree problems," Games and Economic Behavior, Elsevier, vol. 69(2), pages 224-237, July.
55. Darmann, Andreas & Klamler, Christian & Pferschy, Ulrich, 2009. "Maximizing the minimum voter satisfaction on spanning trees," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 238-250, September.
56. Bahel, Eric & Trudeau, Christian, 2019. "Stability and fairness in the job scheduling problem," Games and Economic Behavior, Elsevier, vol. 117(C), pages 1-14.
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57. Chun, Youngsub & Lee, Joosung, 2012. "Sequential contributions rules for minimum cost spanning tree problems," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 136-143.
58. Norde, H.W., 2013. "The Degree and Cost Adjusted Folk Solution for Minimum Cost Spanning Tree Games," Discussion Paper 2013-039, Tilburg University, Center for Economic Research.
59. Tan, Zhibin & Zhigang, Cao & Zou, Zhengxing, 2025. "Comparative statics of minimum-cost-spanning-tree games," Games and Economic Behavior, Elsevier, vol. 151(C), pages 162-182.
60. Liu, Siwen & Borm, Peter & Norde, Henk, 2023. "Induced Rules for Minimum Cost Spanning Tree Problems : Towards Merge-Proofness and Coalitional Stability," Other publications TiSEM bf366633-5301-4aad-81c8-a, Tilburg University, School of Economics and Management.
    • Liu, Siwen & Borm, Peter & Norde, Henk, 2023. "Induced Rules for Minimum Cost Spanning Tree Problems : Towards Merge-Proofness and Coalitional Stability," Discussion Paper 2023-021, Tilburg University, Center for Economic Research.
61. Gustavo Bergantiños & Anirban Kar, 2008. "Obligation Rules," Working papers 167, Centre for Development Economics, Delhi School of Economics.
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62. Juan J. Vidal-Puga & Gustavo Bergantiños, 2004. "Defining Rules in Cost Spanning Tree Problems Through the Canonical Form," Working Papers 2004.97, Fondazione Eni Enrico Mattei.
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63. Brânzei, R. & Moretti, S. & Norde, H.W. & Tijs, S.H., 2003. "The P-Value for Cost Sharing in Minimum Cost Spanning Tree Situations," Other publications TiSEM de0e437c-1588-469d-a2ff-a, Tilburg University, School of Economics and Management.