Characterization of monotonic rules in minimum cost spanning tree problems
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DOI: 10.1007/s00182-014-0456-4
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- Bergantiños, Gustavo & Vidal-Puga, Juan, 2012. "Characterization of monotonic rules in minimum cost spanning tree problems," MPRA Paper 39994, University Library of Munich, Germany.
References listed on IDEAS
- 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.
- 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.
- Hougaard, Jens Leth & Tvede, Mich, 2012. "Truth-telling and Nash equilibria in minimum cost spanning tree models," European Journal of Operational Research, Elsevier, vol. 222(3), pages 566-570.
- Gustavo Bergantiños & Silvia Lorenzo-Freire, 2008. "A characterization of optimistic weighted Shapley rules in minimum cost spanning tree problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(3), pages 523-538, June.
- Gustavo Bergantiños & Leticia Lorenzo, 2004. "A non-cooperative approach to the cost spanning tree problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 59(3), pages 393-403, July.
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- 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.
- 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.
- 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.
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- 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.
- 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.
- 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.
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"The P-value for cost sharing in minimum,"
Theory and Decision, Springer, vol. 56(1), pages 47-61, April.
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- 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.
- 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.
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"Obligation rules for minimum cost spanning tree situations and their monotonicity properties,"
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- 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.
- 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.
Citations
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Cited by:
- Bergantiños, Gustavo & Vidal-Puga, Juan, 2020. "Cooperative games for minimum cost spanning tree problems," MPRA Paper 104911, University Library of Munich, Germany.
- 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 91722, 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.
- Darko Skorin-Kapov, 2018. "Social enterprise tree network games," Annals of Operations Research, Springer, vol. 268(1), pages 5-20, September.
- Kusunoki, Yoshifumi & Tanino, Tetsuzo, 2017. "Investigation on irreducible cost vectors in minimum cost arborescence problems," European Journal of Operational Research, Elsevier, vol. 261(1), pages 214-221.
- M. A. Hinojosa & A. Caro, 2021. "A non-cooperative game theory approach to cost sharing in networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 94(2), pages 219-251, October.
- 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.
- 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.
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More about this item
Keywords
Cost sharing; Minimum cost spanning tree problems; Monotonicity; Irreducible core;All these keywords.
JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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