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. 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.
3. Gustavo Bergantiños & Juan Vidal-Puga, 2004. "Realizing efficient outcomes in cost spanning problems," Game Theory and Information 0403001, University Library of Munich, Germany.
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.
   • Bhaskar Dutta & Debasis Mishra, 2008. "Minimum cost arborescences," Discussion Papers 08-12, Indian Statistical Institute, Delhi.
   • Dutta, Bhaskar & Mishra, Debasis, 2009. "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.
6. 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.
7. Gomez-Rua, Maria & Vidal-Puga, Juan, 2006. "No advantageous merging in minimum cost spanning tree problems," MPRA Paper 601, University Library of Munich, Germany.
8. 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.
9. 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.
10. 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.
11. 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.
    • Giménez-Gómez, José M & Peris, Josep E & Subiza, Begoña, 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.
12. 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.
13. 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.
    • Juarez, Ruben & Ko, Chiu Yu & Xue, Jingyi, 2016. "Sharing Sequential Values in a Network," Economics and Statistics Working Papers 3-2017, Singapore Management University, School of Economics.
14. 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.
15. 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.
    • Giménez-Gómez, José-Manuel & Subiza, Begoña & Peris, Josep, 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.
16. 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.
    • 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.
    • Quant, M. & Borm, P.E.M. & Reijnierse, J.H., 2003. "Congestion Network Problems and Related Games," Discussion Paper 2003-106, Tilburg University, Center for Economic Research.
    • 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.
17. 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.
18. 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.
19. Bergantiños, Gustavo & Vidal-Puga, Juan, 2020. "Cooperative games for minimum cost spanning tree problems," MPRA Paper 104911, University Library of Munich, Germany.
20. 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.
    • Hernández, Penélope & Josep E., Peris & Vidal-Puga, Juan, 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.
21. 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," School of Economics and Public Policy Working Papers 2010-32, University of Adelaide, School of Economics and Public Policy.
22. 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.
23. 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.
    • 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.
    • 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," Economic Research Papers 269403, University of Warwick - Department of Economics.
24. 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.
25. 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.
26. R. Pablo Arribillaga & G. Bergantiños, 2022. "Cooperative and axiomatic approaches to the knapsack allocation problem," Annals of Operations Research, Springer, vol. 318(2), pages 805-830, November.
    • Arribillaga, Pablo & Bergantiños, Gustavo, 2019. "Cooperative and axiomatic approaches to the knapsack allocation problem," MPRA Paper 91719, University Library of Munich, Germany.
27. 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.
    • Bergantiños, Gustavo & Vidal-Puga, Juan, 2012. "Characterization of monotonic rules in minimum cost spanning tree problems," MPRA Paper 39994, University Library of Munich, Germany.
28. 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.
    • Bergantiños, Gustavo & Navarro-Ramos, Adriana, 2020. "Cooperative approach to a location problem with agglomeration economies," MPRA Paper 98121, University Library of Munich, Germany.
29. Andreas Darmann & Christian Klamler & Ulrich Pferschy, 2015. "Sharing the Cost of a Path," Studies in Microeconomics, , vol. 3(1), pages 1-12, June.
30. 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.
31. 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.
32. Chun, Youngsub & Lee, Joosung, 2012. "Sequential contributions rules for minimum cost spanning tree problems," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 136-143.
33. 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.
34. 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.
35. Gustavo Bergantiños & Anirban Kar, 2008. "Obligation Rules," Working papers 167, Centre for Development Economics, Delhi School of Economics.
    • Gustavo Bergantiños & Anirban Kar, 2010. "Obligation Rules," Working Papers id:3009, eSocialSciences.
36. 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.
    • Gustavo Bergantiños & Juan Vidal-Puga, 2004. "Defining rules in cost spanning tree problems through the canonical form," Game Theory and Information 0402004, University Library of Munich, Germany.
37. 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.
    • Giménez-Gómez, José M. & Peris, Josep E. & Subiza, Begoña, 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.
38. 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.
39. 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.
40. 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.
41. 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.
42. 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.
43. 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.
    • Subiza, Begoña & Peris, Josep E., 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.
44. 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.
45. 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.
46. 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.
    • Hernández, Penélope & Peris, Josep E. & Silva-Reus, José A., 2012. "Strategic Sharing of a Costly Network," QM&ET Working Papers 12-10, University of Alicante, D. Quantitative Methods and Economic Theory.
47. Bergantiños, Gustavo & Martínez, Ricardo, 2014. "Cost allocation in asymmetric trees," European Journal of Operational Research, Elsevier, vol. 237(3), pages 975-987.
48. 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.
49. 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.
50. 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.
51. Stefano Moretti & Rodica Branzei & Henk Norde & Stef Tijs, 2004. "The P-value for cost sharing in minimum," Theory and Decision, Springer, vol. 56(2_2), pages 47-61, February.
    • Stefano Moretti & Rodica Branzei & Henk Norde & Stef Tijs, 2004. "The P-value for cost sharing in minimum," Theory and Decision, Springer, vol. 56(1), pages 47-61, April.
52. Gustavo Bergantiños & Juan Vidal-Puga, 2021. "A review of cooperative rules and their associated algorithms for minimum-cost spanning tree problems," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 73-100, March.
53. 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.
54. Gustavo Bergantiños & Juan Vidal-Puga, 2004. "Additivity in cost spanning tree problems," Game Theory and Information 0405001, University Library of Munich, Germany.
55. 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.
56. Trudeau, Christian, 2012. "A new stable and more responsive cost sharing solution for minimum cost spanning tree problems," Games and Economic Behavior, Elsevier, vol. 75(1), pages 402-412.
57. Gustavo Bergantinos & Juan Vidal-Puga, 2008. "On Some Properties of Cost Allocation Rules in Minimum Cost Spanning Tree Problems," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 2(3), pages 251-267, December.
58. 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.
59. Bahel, Eric & Trudeau, Christian, 2019. "Stability and fairness in the job scheduling problem," Games and Economic Behavior, Elsevier, vol. 117(C), pages 1-14.
    • Eric Bahel & Christian Trudeau, 2018. "Stability and fairness in the job scheduling problem," Working Papers 1803, University of Windsor, Department of Economics.
60. 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.
61. 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.