Minimum cost spanning tree games and population monotonic allocation schemes

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. Peter Borm & Herbert Hamers & Ruud Hendrickx, 2001. "Operations research games: A survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 9(2), pages 139-199, December.
   • 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.
   • 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.
   • Borm, P.E.M. & Hamers, H.J.M. & Hendrickx, R.L.P., 2001. "Operations Research Games : A Survey," Other publications TiSEM 04f265e0-8043-4d4f-bf27-2, Tilburg University, School of Economics and Management.
3. 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.
4. 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.
5. Estévez-Fernández, Arantza & Reijnierse, Hans, 2014. "On the core of cost-revenue games: Minimum cost spanning tree games with revenues," European Journal of Operational Research, Elsevier, vol. 237(2), pages 606-616.
   • Arantza Estevez-Fernandez & Hans Reijnierse, 2012. "On the Core of Cost-Revenue Games: Minimum Cost Spanning Tree Games with Revenues," Tinbergen Institute Discussion Papers 12-101/II, Tinbergen Institute.
6. Gomez-Rua, Maria & Vidal-Puga, Juan, 2006. "No advantageous merging in minimum cost spanning tree problems," MPRA Paper 601, University Library of Munich, Germany.
7. 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.
8. Tijs, S.H. & Moretti, S. & Brânzei, R. & Norde, H.W., 2005. "The Bird Core for Minimum Cost Spanning Tree problems Revisited : Monotonicity and Additivity Aspects," Discussion Paper 2005-3, Tilburg University, Center for Economic Research.
9. Bergantiños, Gustavo & Vidal-Puga, Juan, 2009. "Additivity in minimum cost spanning tree problems," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 38-42, January.
10. 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.
11. 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.
12. Bergantiños, Gustavo & Vidal-Puga, Juan, 2020. "Cooperative games for minimum cost spanning tree problems," MPRA Paper 104911, University Library of Munich, Germany.
13. Tamás Solymosi, 2024. "Assignment games with population monotonic allocation schemes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 62(1), pages 67-88, February.
    • Tam'as Solymosi, 2022. "Assignment games with population monotonic allocation schemes," Papers 2210.17373, arXiv.org.
14. Tijs, Stef & Branzei, Rodica & Moretti, Stefano & Norde, Henk, 2006. "Obligation rules for minimum cost spanning tree situations and their monotonicity properties," European Journal of Operational Research, Elsevier, vol. 175(1), pages 121-134, November.
    • Tijs, S.H. & Brânzei, R. & Moretti, S. & Norde, H.W., 2004. "Obligation Rules for Minimum Cost Spanning Tree Situations and their Monotonicity Properties," Discussion Paper 2004-53, Tilburg University, Center for Economic Research.
15. Leanne Streekstra & Christian Trudeau, 2024. "Stable source connection and assignment problems as multi-period shortest path problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(3), pages 939-975, September.
    • Streekstra, Leanne & Trudeau, Christian, 2020. "Stable source connection and assignment problems as multi-period shortest path problems," Discussion Papers on Economics 7/2020, University of Southern Denmark, Department of Economics.
    • Streekstra, Leanne & Trudeau, Christian, 2022. "Stable source connection and assignment problems as multi-period shortest path problems," Discussion Papers on Economics 8/2022, University of Southern Denmark, Department of Economics.
    • Leanne Streekstra & Christian Trudeau, 2022. "Stable source connection and assignment problems as multi-period shortest path problems," Working Papers 2003, University of Windsor, Department of Economics.
    • Leanne Streekstra & Christian Trudeau, 2022. "Stable source connection and assignment problems as multi-period shortest path problems," Discussion Papers 2201, Budapest University of Technology and Economics, Quantitative Social and Management Sciences.
16. 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.
17. Stefano Moretti & Henk Norde, 2022. "Some new results on generalized additive games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 87-118, March.
18. Bergantiños, G. & Navarro-Ramos, A., 2019. "The folk rule through a painting procedure for minimum cost spanning tree problems with multiple sources," Mathematical Social Sciences, Elsevier, vol. 99(C), pages 43-48.
    • Bergantiños, Gustavo & Navarro, Adriana, 2019. "The folk rule through a painting procedure for minimum cost spanning tree problems with multiple sources," MPRA Paper 91723, University Library of Munich, Germany.
19. Moulin, Hervé & Velez, Rodrigo A., 2013. "The price of imperfect competition for a spanning network," Games and Economic Behavior, Elsevier, vol. 81(C), pages 11-26.
20. 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.
21. 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.
22. Emre Doğan & İbrahim Barış Esmerok, 2024. "An egalitarian solution to minimum cost spanning tree problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(1), pages 127-141, March.
23. 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.
24. 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.
25. 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.
26. 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.
27. 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.
28. Darko Skorin-Kapov, 2018. "Social enterprise tree network games," Annals of Operations Research, Springer, vol. 268(1), pages 5-20, September.
29. Jens Hougaard & Hervé Moulin & Lars Østerdal, 2010. "Decentralized pricing in minimum cost spanning trees," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(2), pages 293-306, August.
    • Jens Leth Hougaard & Hervé Moulin & Lars Peter Østerdal, 2008. "Decentralized Pricing in Minimum Cost Spanning Trees," Discussion Papers 08-24, University of Copenhagen. Department of Economics.
30. Bergantiños, Gustavo & Navarro, Adriana, 2019. "Characterization of the painting rule for multi-source minimal cost spanning tree problems," MPRA Paper 93266, University Library of Munich, Germany.
31. Gustavo Bergantiños & Youngsub Chun & Eunju Lee & Leticia Lorenzo, 2022. "The Folk Rule for Minimum Cost Spanning Tree Problems with Multiple Sources," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 24(01), pages 1-36, March.
    • Bergantiños, Gustavo & Chun, Youngsub & Lee, Eunju & Lorenzo, Leticia, 2018. "The Folk Rule for Minimum Cost Spanning Tree Problems with Multiple Sources," MPRA Paper 91523, University Library of Munich, Germany.
    • Bergantiños, Gustavo & Chun, Youngsub & Lee, Eunju & Lorenzo, Leticia, 2019. "The Folk Rule for Minimum Cost Spanning Tree Problems with Multiple Sources," MPRA Paper 97141, University Library of Munich, Germany.
    • Bergantiños, Gustavo & Chun, Youngsub & Lee, Eunju & Lorenzo, Leticia, 2019. "The Folk Rule for Minimum Cost Spanning Tree Problems with Multiple Sources," MPRA Paper 91722, University Library of Munich, Germany.
32. 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.
33. Stefano Moretti & Henk Norde & Kim Pham Do & Stef Tijs, 2002. "Connection problems in mountains and monotonic allocation schemes," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 10(1), pages 83-99, June.
    • Moretti, S. & Norde, H.W. & Pham Do, K.H. & Tijs, S.H., 2001. "Connection Problems in Mountains and Monotonic Allocation Schemes," Discussion Paper 2001-12, Tilburg University, Center for Economic Research.
    • Moretti, S. & Norde, H.W. & Pham Do, K.H. & Tijs, S.H., 2001. "Connection Problems in Mountains and Monotonic Allocation Schemes," Other publications TiSEM 63cc8f02-2ae6-41bb-9211-7, Tilburg University, School of Economics and Management.
34. 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.
35. Tijs, S.H. & Moretti, S. & Brânzei, R. & Norde, H.W., 2005. "The Bird Core for Minimum Cost Spanning Tree problems Revisited : Monotonicity and Additivity Aspects," Other publications TiSEM 530f2c60-024d-4f3e-b724-1, Tilburg University, School of Economics and Management.
36. Stefano Moretti & Stef Tijs & Rodica Branzei & Henk Norde, 2009. "Cost allocation protocols for supply contract design in network situations," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(1), pages 181-202, March.
37. 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.
38. 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.
39. 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.
40. Leticia Lorenzo & Silvia Lorenzo-Freire, 2009. "A characterization of Kruskal sharing rules for minimum cost spanning tree problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 107-126, March.
41. 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.
42. Gustavo Bergantiños & Leticia Lorenzo & Silvia Lorenzo-Freire, 2010. "The family of cost monotonic and cost additive rules in minimum cost spanning tree problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(4), pages 695-710, April.
43. Barış Çiftçi & Stef Tijs, 2009. "A vertex oriented approach to the equal remaining obligations rule for minimum cost spanning tree situations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 440-453, December.
44. 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.
45. 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.
46. Gustavo Bergantiños & Juan Vidal-Puga, 2004. "Additivity in cost spanning tree problems," Game Theory and Information 0405001, University Library of Munich, Germany.
47. 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.
48. Moulin, Hervé, 2014. "Pricing traffic in a spanning network," Games and Economic Behavior, Elsevier, vol. 86(C), pages 475-490.
49. 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.
50. 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.
51. Munich, Léa, 2024. "Schedule situations and their cooperative game theoretic representations," European Journal of Operational Research, Elsevier, vol. 316(2), pages 767-778.
52. 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.
53. Tijs, S.H. & Brânzei, R. & Moretti, S. & Norde, H.W., 2004. "Obligation Rules for Minimum Cost Spanning Tree Situations and their Monotonicity Properties," Other publications TiSEM 78d24994-1074-4329-b911-c, Tilburg University, School of Economics and Management.
54. Léa Munich, 2023. "Schedule Situations and their Cooperative Game Theoretic Representations," Working Papers 2023-08, CRESE.