Research

Research Interests

• Theory of games. Cost sharing. Bargaining. Shapley value. Minimum cost spanning tree problems. Coalition structures.

Work in Progress

1. A non-cooperative approach to the Harsanyi value.
2. A common framework to characterize the proportional rule and the average-of-awards rule in claims problems. Formerly Connections between the proportional and the average-of-awards rules in claims problems (with Estela Sánchez-Rodríguez and Miguel Á. Mirás-Calvo).
3. Additivity in biodiversity Problems (with María Gómez-Rúa).
4. A new algorithm for influence maximization (with Elisenda Molina and Juan Tejada).
5. Minimum cost Steiner tree problems (with Gustavo Bergantiños, Leticia Lorenzo and Silvia Lorenzo-Freire).

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Working Papers

1. Decentralized multilateral bargaining (with Yuan Ju). Formerly Bargaining without a planner.
2. A coalitional extension of the ordinal Shapley-Shubik value (with Alfredo Valencia-Toledo). Formerly A coalitional extension to TU games of the ordinal Shapley-Shubik value.

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Published Papers (in JCR)

1. September, 2025. An efficient Shapley value for games with fuzzy characteristic function (with Lina Mallozzi). [RePEc]
   Fuzzy Optimization and Decision Making 24, 643-668, DOI: 10.1007/s10700-025-09461-1
   
2. Available online 12 May 2025. Compensating local communities for mining transport: a game theoretical analysis (with Alfredo Valencia-Toledo). Formerly A linear model for freight transportation.
   Mathematical Social Sciences 137, 102414, DOI: 10.1016/j.mathsocsci.2025.102414
   
3. Available online 6 February 2025. Merge-proofness and cost solidarity in shortest path games (with Eric Bahel and María Gómez-Rúa). Formerly Merge-proofness in shortest path games.
   Social Choice and Welfare, DOI: 10.1007/s00355-024-01574-7
   
4. February, 2024 (available online 17 November 2023). Stable and weakly additive cost sharing in shortest path problems (with Eric Bahel and María Gómez-Rúa). Formerly Stability in shortest path problems. [Preprint].
   Journal of Mathematical Economics 110, 102921. DOI: 10.1016/j.jmateco.2023.102921
   
5. June, 2023 (available online 22 September 2022). A non-cooperative approach to the folk rule in minimum cost spanning tree problems (with Penélope Hernández and Josep E. Peris). [Pre-print].
   European Journal of Operational Research 307(2), 922-928. DOI: 10.1016/j.ejor.2022.09.015
   
6. April, 2023 (available online 13 July 2022). Equilibrium and dominance in fuzzy games (with Lina Mallozzi). [Pre-print].
   Fuzzy Sets and Systems 458, 94-107. DOI: 10.1016/j.fss.2022.06.027
   
7. November, 2022. Essays in game theory in tribute to Francesc Carreras SING 15 (with Encarnación Algaba, René van den Brink and Hannu Salonen).
   Annals of Operations Research 318, 743-747. DOI: 10.1007/s10479-022-05000-y
   
8. March, 2022. Stable cores in information graph games (with Marina Núñez). [Pre-print]. Formerly Core stability in information graph games.
   Games and Economic Behavior 132, 353-367. DOI: 10.1016/j.geb.2022.01.013
   
9. March, 2022. The role of self and peer assessment in higher education (with María del Carmen Iglesias Pérez and Margarita Pino Juste). [Post-print].
   Studies in Higher Education 47(3), 683-692. DOI: 10.1080/03075079.2020.1783526
   
10. June, 2021. Uncertainty in cooperative interval games: How Hurwicz criterion compatibility leads to egalitarianism (with Lina Mallozzi). [Post-Print].
    Annals of Operations Research 301, 143-159. DOI: 10.1007/s10479-019-03379-9
    
11. March, 2021. A review of cooperative rules and their associated algorithms for minimum cost spanning tree problems (with Gustavo Bergantiños). [Pre-print]. Formerly Cooperative games for minimum cost spanning tree problems.
    SERIEs-Journal of the Spanish Economic Association 12, 73-100. DOI: 10.1007/s13209-021-00230-y
    
12. January, 2021. Aggregator operators for dynamic rationing (with Juan D. Moreno-Ternero). [Post-print].
    European Journal of Operational Research 288(2), 682-691. DOI: 10.1016/j.ejor.2020.06.007
    
13. June, 2020. A sequential bargaining protocol for land rental arrangements (with Alfredo Valencia-Toledo). [Post-print].
    Review of Economic Design 24(1),65-99. DOI: 10.1007/s10058-020-00230-7
    
14. May, 2020. Reassignment-proof rules for land rental problems (with Alfredo Valencia-Toledo). [Post-print]. Formerly Non-manipulable rules for land rental problems and formerly Strategy-proofness and monotonicity for land rental agreements.
    International Journal of Game Theory 49, 173-193. DOI: 10.1007/s00182-019-00684-2
    
15. March, 2020. One-way and two-way cost allocation in hub network problems (with Gustavo Bergantiños). [Post-print].
    OR Spectrum 42(1), 199-234. DOI: 10.1007/s00291-020-00573-1
    
16. January, 2020. Clique games: a family of games with coincidence between the nucleolus and the Shapley value (with Christian Trudeau). [Post-print]. Formerly A family of games with coincidence between the nucleolus and the Shapley value.
    Mathematical Social Sciences 103, 8-14. DOI: 10.1016/j.mathsocsci.2019.10.002
    
17. October, 2019. River flooding risk prevention: A cooperative game theory approach (with Xana Álvarez and María Gómez-Rúa). [Post-print]. Formerly Risk prevention of land flood: A cooperative game theory approach and formerly Flood prevention in river basin: a game theoretical approach.
    Journal of Environmental Management 248, 109284. DOI: 10.1016/j.jenvman.2019.109284
    
18. July, 2018. Hart and Mas-Colell consistency in PERT problems (with Gustavo Bergantiños and Alfredo Valencia-Toledo). [Post-print]. Formerly Consistency in PERT problems.
    Discrete Applied Mathematics 243, 11-20. DOI: 10.1016/j.dam.2017.08.012
    
19. January, 2018. Duality in land rental problems (with Alfredo Valencia-Toledo). [Post-print].
    Operations Research Letters 46(1), 56-59. DOI: 10.1016/j.orl.2017.11.004
    
20. June, 2017. On the effect of taxation in the online sports betting market. [Pre-print]. Formerly Taxation in the Spanish online betting market.
    SERIEs-Journal of the Spanish Economic Association 8(2), 145-175. DOI: 10.1007/s13209-017-0156-y
    
21. May, 2017. On the set of extreme core allocations for minimal cost spanning tree problems (with Christian Trudeau). [Pre-print]. Formerly On the set of extreme core allocations for minimum cost spanning tree problems.
    Journal of Economic Theory 169, 425-452. DOI: 10.1016/j.jet.2017.03.001
    
22. April, 2017. Comments on: Games with a permission structure - A survey on generalizations and applications. [Post-print].
    TOP 25(1), 42-44. DOI: 10.1007/s11750-017-0439-2
    
23. March, 2017. A monotonic and merge-proof rule in minimum cost spanning tree situations (with Maria Gomez-Rua). [Pre-print]. Formerly A monotonic and merge-proofness rule in minimum cost spanning tree situations.
    Economic Theory 63, 813-826. DOI: 10.1007/s00199-016-0996-x
    
24. December, 2015. A non-cooperative approach to the ordinal Shapley-Shubik rule. [Pre-print]. Formerly A non-cooperative approach to the ordinal Shapley rule.
    Journal of Mathematical Economics 61, 111-118. DOI: 10.1016/j.jmateco.2015.07.008
    
25. November, 2015. Characterization of monotonic rules in minimum cost spanning tree problems. [Pre-print]. Formerly On monotonic rules in minimum cost spanning tree problems and formerly On monotonic rules in minimum cost spanning tree problems (with Gustavo Bergantiños). A first version of this paper, titled Monotonicity properties and the irreducible core in minimum cost spanning tree problems, was coauthored by Gustavo Bergantiños and Anirban Kar.
    International Journal of Game Theory 44(4),835-868. DOI: 10.1007/s00182-014-0456-4
    
26. February, 2015 Values and coalition configurations. [Post-print] (with Josune Albizuri).
    Mathematical Methods of Operations Research 81(1), 3-26, DOI: 10.1007/s00186-014-0484-7
    
27. July 2014. Bargaining and membership (with Maria Gomez-Rua). [Post-print]. Formerly Negotiating the membership
    TOP 22(2), 800-814, DOI: 10.1007/s11750-013-0301-0
    
28. November 2012. The Harsanyi paradox and the "right to talk" in bargaining among coalitions. [post-print].
    Mathematical Social Sciences 64(3), 214-224, DOI: 10.1016/j.mathsocsci.2012.05.002
    
29. July 2011. Balanced per capita contributions and levels structure of cooperation (with Maria Gomez-Rua). [pre-print] [ppt].
    TOP 19(1), 167-176, DOI: 10.1007/s11750-009-0122-3
    
30. May 2011. Merge-proofness in minimum cost spanning tree problems (with Maria Gomez-Rua). [pre-print]. Formerly No advantageous merging in minimum cost spanning tree problems.
    International Journal of Game Theory 40(2), 309-329, DOI: 10.1007/s00182-010-0243-9
    
31. May 13th, 2011. The folk solution and Boruvka's algorithm in minimum cost spanning tree problems (with Gustavo Bergantiños). [Post-print]. Formerly Several approaches to the same rule in minimum cost spanning tree problems.
    Discrete Applied Mathematics 159, 1279-1283, DOI: 10.1016/j.dam.2011.04.017
    
32. March, 2011. Demand bargaining and proportional payoffs in majority games (with Maria Montero). [pre-print]. [Suplementary material]. Formerly Demand bargaining and proportional payoffs in legislatures.
    Games and Economic Behavior 71(2), 395-408, DOI:10.1016/j.geb.2010.05.004
    
33. December, 2010. The axiomatic approach to three values in games with coalition structure (with Maria Gomez-Rua). [pre-print]
    European Journal of Operational Research 207(2), 795-806, DOI: 10.1016/j.ejor.2010.05.014
    
34. March 16th, 2010. Realizing fair outcomes in minimum cost spanning tree problems through non-cooperative mechanisms (with Gustavo Bergantiños). [pre-print]. Formerly Obtaining fair rules in minimum cost spanning tree problems through non-cooperative mechanisms and formerly Realizing efficient outcomes in cost spanning tree problems.
    European Journal of Operational Research 201(3), 811-820, doi:10.1016/j.ejor.2009.04.003
    
35. January, 2009. Additivity in minimum cost spanning tree problems (with Gustavo Bergantiños). [pre-print].
    Journal of Mathematical Economics 45(1-2), 38-42, doi:10.1016/j.jmateco.2008.03.003
    
36. December, 2008. Delay in the alternating-offers model of bargaining. [pre-print]. Formerly Reinterpreting the meaning of breakdown, formerly Why does delay occur in real-life bargaining? A theory of negotiation between two completely informed rational players, and formerly Delay in an alternating-offers model.
    International Journal of Game Theory 37(4), 457-474, doi:10.1007/s00182-008-0128-3
    
37. November, 2008. Forming coalitions and the Shapley NTU value. [pre-print] Formerly Forming societies and the Shapley NTU value.
    European Journal of Operational Research 190(3), 659-671, doi:10.1016/j.ejor.2007.07.006
    
38. November, 2007. A fair rule in minimum cost spanning tree problems (with Gustavo Bergantiños). [pre-print]. Formerly Defining rules in cost spanning tree problems through the canonical form.
    Journal of Economic Theory 137(1), 326-352, doi: 10.1016/j.jet.2006.11.001
    
39. November, 2007. Demand commitment in legislative bargaining (with Maria Montero). [pre-print].
    American Political Science Review 101(4), 847-850, doi: 10.1017/S0003055407070517
    
40. October, 2007. The optimistic TU game in minimum cost spanning tree problems (with Gustavo Bergantiños). [pre-print]. Formerly On the Shapley value of a minimum cost spanning tree problem.
    International Journal of Game Theory 36(2), 223-239, doi: 10.1007/s00182-006-0069-7
    
41. July, 2007. A solution for bargaining problems with coalition structure (with Gustavo Bergantiños, Balbina Cásas-Méndez and Gloria Fiestras-Janeiro). [post-print] Formerly A focal-point solution for bargaining problems with coalition structure.
    Mathematical Social Sciences 54(1), 35-58, doi: 10.1016/j.mathsocsci.2007.03.001
    
42. April, 2006. Additive rules in discrete allocation problems (with Gustavo Bergantiños). [pre-print]. Formerly Additive rules in discrete bankruptcy problems and other related problems.
    European Journal of Operational Research 172(3), 971-978, doi: 10.1016/j.ejor.2004.11.015
    
43. November, 2005. The consistent coalitional value (with Gustavo Bergantiños). [pre-print]. Formerly The NTU consistent coalitional value and formerly A consistent value for NTU games with coalition structure.
    Mathematics of Operations Research 30(4), 832-851, doi: 10.1287/moor.1050.0162
    
44. May, 2005. Implementation of the levels structure value. [post-print].
    Annals of Operations Research 137(1), 191-209, doi: 10.1007/s10479-005-2255-6
    
45. April, 2005. A bargaining approach to the Owen value and the Nash solution with coalition structure. [pre-print]. Formerly A bargaining approach to the consistent value for NTU games with coalition structure.
    Economic Theory 25(3), 679 - 701, doi: 10.1007/s00199-003-0446-4
    
46. December, 2004. Bargaining with commitments. [pre-print].
    International Journal of Game Theory 33(1), 129-144, doi:10.1007/s001820400190
    
47. January, 2004. Additive rules in bankruptcy problems and other related problems (with Gustavo Bergantiños). [post-print].
    Mathematical Social Sciences 47(1), 87-101, doi:10.1016/S0165-4896(03)00079-9
    
48. August, 2003. An implementation of the Owen value (with Gustavo Bergantiños). [post-print]. Formerly An implementation of the coalitional value and formerly Implementación del valor coalicional de Owen. Un planteamiento por medio de subastas.
    Games and Economic Behavior 44(2), 412-427, doi:10.1016/S0899-8256(03)00043-5
    

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Other Published Papers

1. May 6, 2021. A cooperative game for upstream-downstream river flooding risk prevention in four European river basins (with Weronika Warachowska, Xana Alvarez, Nejc Bezak, María Gómez-Rúa, Andrea Janeiro-Otero, Piotr Matczak and Vesna Zupanc). [Pre-print]. Formerly A cooperative game for river flooding risk prevention.
   In: Nature-Based Solutions in Flood mitigation: Environmental and Socio-Economic Aspects. Ed. by Carla Ferreira, Zahra Kalantari, Thomas Hartmann and Paulo Pereira. Integrated in the Book series: The Handbook of Environmental Chemistry, edited by Damià Barceló and Andrey Kostianoy. Springer. DOI: 10.1007/698_2021_766
2. 2019. The Shapley value in minimum cost spanning tree problems (with Christian Trudeau). [Post-print].
   In: Handbook of the Shapley value. Ed. by E. Algaba, V. Fragnelli and J. Sánchez-Soriano. Chapter 24, pp. 537-560. CRC Press, Taylor & Francis Group. DOI:10.1201/9781351241410-24
3. 2017. Editorial.
   BEIO 33(3), 183-188.
4. 2012. A Violation of Monotonicity in a Noncooperative Setting (with Maria Montero).
   Homo Oeconomicus 29(2), 185-195.
5. 2009. A value for PERT problems (with Gustavo Bergantiños). [pre-print]. Formerly A power index for PERT problems and formerly Strong monotonicity in PERT problems.
   International Game Theory Review 11(4), 419-436, doi:10.1142/10.1142/S0219198909002418
   
6. December, 2008. On some properties of cost allocation rules in minimum cost spanning tree problems (with Gustavo Bergantiños). [pre-print] Formerly On some properties of three rules in minimum cost spanning tree problems.
   Czech Economic Review 2(3), 251-267.
   

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PhD Dissertation

• December, 2002. On additivity and implementation in games with coalition structure. University of Santiago de Compostela. Spain.

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