Han, Changyong; Kim, Bawoo; Chun, Youngsub Demand operators and the Dutta-Kar rule for minimum cost spanning tree problems. (English) Zbl 07899189 Econ. Theory 78, No. 1, 101-124 (2024). MSC: 91B42 × Cite Format Result Cite Review PDF Full Text: DOI
Doğan, Emre; Esmerok, İbrahim Barış An egalitarian solution to minimum cost spanning tree problems. (English) Zbl 1531.91019 Int. J. Game Theory 53, No. 1, 127-141 (2024). MSC: 91A12 91A43 × Cite Format Result Cite Review PDF Full Text: DOI
Hernández, Penélope; Peris, Josep E.; Vidal-Puga, Juan A non-cooperative approach to the folk rule in minimum cost spanning tree problems. (English) Zbl 1541.91046 Eur. J. Oper. Res. 307, No. 2, 922-928 (2023). MSC: 91A43 91A12 91B32 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Trudeau, Christian Minimum cost spanning tree problems as value sharing problems. (English) Zbl 1508.91028 Int. J. Game Theory 52, No. 1, 253-272 (2023). MSC: 91A12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bergantiños, Gustavo; Chun, Youngsub; Lee, Eunju; Lorenzo, Leticia The folk rule for minimum cost spanning tree problems with multiple sources. (English) Zbl 1489.91021 Int. Game Theory Rev. 24, No. 1, Article ID 2150007, 36 p. (2022). MSC: 91A20 91A12 × Cite Format Result Cite Review PDF Full Text: DOI
Hougaard, Jens Leth; Tvede, Mich Trouble comes in threes: core stability in minimum cost connection networks. (English) Zbl 1487.91018 Eur. J. Oper. Res. 297, No. 1, 319-324 (2022). MSC: 91A43 90B10 91A12 91B32 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hinojosa, M. A.; Caro, A. A non-cooperative game theory approach to cost sharing in networks. (English) Zbl 1482.91007 Math. Methods Oper. Res. 94, No. 2, 219-251 (2021). MSC: 91A10 91A43 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Bergantiños, Gustavo; Lorenzo, Leticia Cost additive rules in minimum cost spanning tree problems with multiple sources. (English) Zbl 1480.90244 Ann. Oper. Res. 301, No. 1-2, 5-15 (2021). MSC: 90C35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Subiza, Begoña; Peris, Josep E. Sharing the cost of maximum quality optimal spanning trees. (English) Zbl 1471.90048 Top 29, No. 2, 470-493 (2021). MSC: 90B18 90C29 90B50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bergantiños, G.; Vidal-Puga, J. One-way and two-way cost allocation in hub network problems. (English) Zbl 1437.90041 OR Spectrum 42, No. 1, 199-234 (2020). MSC: 90B18 91B32 91B76 90C59 91A12 90B80 × Cite Format Result Cite Review PDF Full Text: DOI Link
Trudeau, Christian; Vidal-Puga, Juan Clique games: a family of games with coincidence between the nucleolus and the Shapley value. (English) Zbl 1437.91040 Math. Soc. Sci. 103, 8-14 (2020). MSC: 91A12 91A43 05C57 × Cite Format Result Cite Review PDF Full Text: DOI Link
Norde, Henk The degree and cost adjusted folk solution for minimum cost spanning tree games. (English) Zbl 1419.91159 Games Econ. Behav. 113, 734-742 (2019). MSC: 91A43 91A20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hougaard, Jens Leth; Moulin, Hervé Sharing the cost of risky projects. (English) Zbl 1402.91222 Econ. Theory 65, No. 3, 663-679 (2018). MSC: 91B32 91B18 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kusunoki, Yoshifumi; Tanino, Tetsuzo Investigation on irreducible cost vectors in minimum cost arborescence problems. (English) Zbl 1403.91214 Eur. J. Oper. Res. 261, No. 1, 214-221 (2017). MSC: 91B32 91A43 91A80 91A12 × Cite Format Result Cite Review PDF Full Text: DOI
Bahel, Eric; Trudeau, Christian Minimum incoming cost rules for arborescences. (English) Zbl 1392.91102 Soc. Choice Welfare 49, No. 2, 287-314 (2017). MSC: 91B32 91A43 91A12 × Cite Format Result Cite Review PDF Full Text: DOI
Gómez-Rúa, María; Vidal-Puga, Juan A monotonic and merge-proof rule in minimum cost spanning tree situations. (English) Zbl 1404.91150 Econ. Theory 63, No. 3, 813-826 (2017). MSC: 91B32 91A43 91A12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Trudeau, Christian; Vidal-Puga, Juan On the set of extreme core allocations for minimal cost spanning tree problems. (English) Zbl 1400.91263 J. Econ. Theory 169, 425-452 (2017). MSC: 91B32 91A12 91A43 05C90 × Cite Format Result Cite Review PDF Full Text: DOI Link
Sziklai, Balázs; Fleiner, Tamás; Solymosi, Tamás On the core and nucleolus of directed acyclic graph games. (English) Zbl 1366.91038 Math. Program. 163, No. 1-2 (A), 243-271 (2017). MSC: 91A43 91A12 05C05 05C57 91B32 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ando, Kazutoshi; Inagaki, Ryosuke; Shoji, Kazuya Efficient algorithms for subdominant cycle-complete cost functions and cycle-complete solutions. (English) Zbl 1414.91018 Discrete Appl. Math. 225, 1-10 (2017). MSC: 91A12 91-04 68Q17 × Cite Format Result Cite Review PDF Full Text: DOI
Subiza, Begoña; Giménez-Gómez, José-Manuel; Peris, Josep E. Folk solution for simple minimum cost spanning tree problems. (English) Zbl 1408.90301 Oper. Res. Lett. 44, No. 5, 598-601 (2016). MSC: 90C35 05C82 90B10 91B32 × Cite Format Result Cite Review PDF Full Text: DOI
Hernández, Penélope; Peris, Josep E.; Silva-Reus, José A. Strategic sharing of a costly network. (English) Zbl 1368.91117 J. Math. Econ. 66, 72-82 (2016). MSC: 91B32 91A12 91A43 × Cite Format Result Cite Review PDF Full Text: DOI Link
Doğan, Emre Absence-proofness: group stability beyond the core. (English) Zbl 1388.91022 Int. J. Game Theory 45, No. 3, 601-616 (2016). MSC: 91A12 91A43 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Phuoc Hoang; Nguyen, Tri-Dung; Bektaş, Tolga Generalized minimum spanning tree games. (English) Zbl 1337.91030 EURO J. Comput. Optim. 4, No. 2, 167-188 (2016). MSC: 91A43 91A12 90C35 91B32 × Cite Format Result Cite Review PDF Full Text: DOI Link OA License
Platz, Trine Tornøe; Hamers, Herbert On games arising from multi-depot Chinese postman problems. (English) Zbl 1358.91015 Ann. Oper. Res. 235, 675-692 (2015). MSC: 91A12 91A43 05C57 90C27 90C35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hougaard, Jens Leth; Tvede, Mich Minimum cost connection networks: truth-telling and implementation. (English) Zbl 1330.91110 J. Econ. Theory 157, 76-99 (2015). MSC: 91B32 91A43 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bergantiños, Gustavo; Vidal-Puga, Juan Characterization of monotonic rules in minimum cost spanning tree problems. (English) Zbl 1388.91068 Int. J. Game Theory 44, No. 4, 835-868 (2015). MSC: 91A43 91A12 91B32 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bergantiños, Gustavo; Gómez-Rúa, María An axiomatic approach in minimum cost spanning tree problems with groups. (English) Zbl 1320.91040 Ann. Oper. Res. 225, 45-63 (2015). MSC: 91A43 90C35 91A12 91B32 × Cite Format Result Cite Review PDF Full Text: DOI
Bergantiños, Gustavo; Martínez, Ricardo Cost allocation in asymmetric trees. (English) Zbl 1338.91036 Eur. J. Oper. Res. 237, No. 3, 975-987 (2014). MSC: 91A43 91A12 90B10 91B32 × Cite Format Result Cite Review PDF Full Text: DOI
Darmann, Andreas; Klamler, Christian Knapsack cost sharing. (English) Zbl 1329.91080 Rev. Econ. Des. 18, No. 3, 219-241 (2014). MSC: 91B32 90C27 × Cite Format Result Cite Review PDF Full Text: DOI
Trudeau, Christian Linking the Kar and folk solutions through a problem separation property. (English) Zbl 1308.91042 Int. J. Game Theory 43, No. 4, 845-870 (2014). MSC: 91A43 91A12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Trudeau, Christian Characterizations of the cycle-complete and folk solutions for minimum cost spanning tree problems. (English) Zbl 1302.91039 Soc. Choice Welfare 42, No. 4, 941-957 (2014). MSC: 91A43 91A12 90C35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Moulin, Hervé Pricing traffic in a spanning network. (English) Zbl 1294.91037 Games Econ. Behav. 86, 475-490 (2014). MSC: 91A43 91A12 91A80 90B20 × Cite Format Result Cite Review PDF Full Text: DOI
Darmann, Andreas Popular spanning trees. (English) Zbl 1283.68154 Int. J. Found. Comput. Sci. 24, No. 5, 655-677 (2013). MSC: 68Q17 68R10 05C05 90C27 × Cite Format Result Cite Review PDF Full Text: DOI
Moulin, Hervé; Velez, Rodrigo A. The price of imperfect competition for a spanning network. (English) Zbl 1281.91050 Games Econ. Behav. 81, 11-26 (2013). MSC: 91A43 91B32 × Cite Format Result Cite Review PDF Full Text: DOI
Trudeau, Christian Characterizations of the Kar and folk solutions for minimum cost spanning tree problems. (English) Zbl 1274.91103 Int. Game Theory Rev. 15, No. 2, Article ID 1340003, 16 p. (2013). MSC: 91A43 90C35 91A12 91B32 × Cite Format Result Cite Review PDF Full Text: DOI
Moulin, Hervé Cost sharing in networks: some open questions. (English) Zbl 1274.91051 Int. Game Theory Rev. 15, No. 2, Article ID 1340001, 10 p. (2013). MSC: 91A12 91B32 90C27 90C35 × Cite Format Result Cite Review PDF Full Text: DOI
Hougaard, Jens Leth; Tvede, Mich Truth-telling and Nash equilibria in minimum cost spanning tree models. (English) Zbl 1253.91033 Eur. J. Oper. Res. 222, No. 3, 566-570 (2012). MSC: 91A43 91A12 91A10 × Cite Format Result Cite Review PDF Full Text: DOI
Ando, Kazutoshi Computation of the Shapley value of minimum cost spanning tree games: P-hardness and polynomial cases. (English) Zbl 1254.91020 Japan J. Ind. Appl. Math. 29, No. 3, 385-400 (2012). MSC: 91A12 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Chun, Youngsub; Lee, Joosung Sequential contributions rules for minimum cost spanning tree problems. (English) Zbl 1248.91047 Math. Soc. Sci. 64, No. 2, 136-143 (2012). MSC: 91B32 × Cite Format Result Cite Review PDF Full Text: DOI
Trudeau, Christian A new stable and more responsive cost sharing solution for minimum cost spanning tree problems. (English) Zbl 1280.91099 Games Econ. Behav. 75, No. 1, 402-412 (2012). MSC: 91B32 91A12 91A43 × Cite Format Result Cite Review PDF Full Text: DOI
Dutta, Bhaskar; Mishra, Debasis Minimum cost arborescences. (English) Zbl 1278.91090 Games Econ. Behav. 74, No. 1, 120-143 (2012). MSC: 91B32 91A80 91A43 91A12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Darmann, Andreas; Klamler, Christian; Pferschy, Ulrich Finding socially best spanning treesî. (English) Zbl 1209.91067 Theory Decis. 70, No. 4, 511-527 (2011). MSC: 91B14 90C35 × Cite Format Result Cite Review PDF Full Text: DOI
Hougaard, Jens Leth; Moulin, Hervé; Østerdal, Lars Peter Decentralized pricing in minimum cost spanning trees. (English) Zbl 1202.91040 Econ. Theory 44, No. 2, 293-306 (2010). MSC: 91A43 91A12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Darmann, Andreas; Klamler, Christian; Pferschy, Ulrich A note on maximizing the minimum voter satisfaction on spanning trees. (English) Zbl 1232.91174 Math. Soc. Sci. 60, No. 1, 82-85 (2010). MSC: 91B12 05C90 05C35 × Cite Format Result Cite Review PDF Full Text: DOI
Bergantiños, Gustavo; Kar, Anirban On obligation rules for minimum cost spanning tree problems. (English) Zbl 1230.91018 Games Econ. Behav. 69, No. 2, 224-237 (2010). MSC: 91A43 91B10 90C35 × Cite Format Result Cite Review PDF Full Text: DOI
Darmann, Andreas; Klamler, Christian; Pferschy, Ulrich Maximizing the minimum voter satisfaction on spanning trees. (English) Zbl 1177.91068 Math. Soc. Sci. 58, No. 2, 238-250 (2009). MSC: 91B14 90C27 68R05 68Q17 × Cite Format Result Cite Review PDF Full Text: DOI