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Presentation of the SaGaTh Group July 2006. Mathematical game theory in Galicia. J.M. Prada 1980 USC. I. García-Jurado 1989 USC. B. Casas 1996 USC. G. Bergantiños 1993 UV. L. Méndez-Naya 1993 USC. G. Fiestras 1994 UV. M. Vázquez-Brage 1998 . L. Carpente 2004 UDC.

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Mathematical game theory in Galicia

J.M. Prada 1980 USC

I. García-Jurado 1989 USC

B. Casas 1996 USC

G. Bergantiños 1993 UV

L. Méndez-Naya 1993 USC

G. Fiestras 1994 UV

M. Vázquez-Brage 1998

L. Carpente 2004 UDC

E. Sánchez-Rodríguez 1998 UV

J. Vidal 2002 UV

J.M. Alonso 2002 USC

L. Lorenzo 2005 UV

M. Mosquera USC

S. Lorenzo UV

J. González-Díaz 2005 UAB

M. Gómez-Rúa UV

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The SaGaTh Group

http://eio.usc.es/pub/io/xogos

Main research contacts with Universidade de Vigo, Tilburg University, Università di Genova, University of Oregon, Universitat Autònoma de Barcelona, Universidad de Sevilla, Universitat Politècnica de Catalunya, Northwestern University, etc.

Financial support from MEC, EC, Xunta de Galicia, USC, UV and UDC.

Last Project: “Teoría de juegos y asignación de costes”. Ministerio de Educación y Ciencia. Amount: 70.200 euros. Period: 31/12/05 to 30/12/08. Ref: SEJ2005-07637-C02-02/ECON.

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Selected Publications of the SaGaTh Group

  • Equilibrium Refinements
  • Repeated Games
  • Non-Cooperative Games and Mathematical Programming
  • Bankruptcy
  • Bargaining
  • Power Indices
  • Interactive Operations Research Models
  • Solutions in TU and NTU games
  • Connections Between Cooperative and Non-Cooperative Models
  • Game Practice
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Selected Publications of the SaGaTh Group I

Equilibrium Refinements

G. Fiestras-Janeiro, P. Borm and F. van Megen (1998). "Protective and prudent behaviour in games". Journal of Economic Theory 78, 167-175.G. Fiestras-Janeiro and I. García-Jurado (1997). "Perfectly almost strict equilibria for finite games in strategic form". Mathematical Social Sciences 33, 269-276.P. Borm, I. García-Jurado, J. Potters and S. Tijs (1996). "An amalgation of games". European Journal of Operational Research 89, 570-580.L. Méndez-Naya, I. García-Jurado and J. C. Cesco (1995). "Perfection of Nash equilibria in continuous games.". Mathematical Social Sciences 29, 225-237.P. Borm, R. Cao, I. García-Jurado and L. Méndez-Naya (1995). "Weakly strict equilibrium in finite normal form games". OR Spektrum 17, 235-238.P. Borm, R. Cao and I. García-Jurado (1995). "Maximum likelihood equilibria in random games". Optimization 35, 77-84.A. P. Jurg, I. García-Jurado and P. Borm (1992). "On modifications of the concepts of perfect and proper equilibria". OR Spektrum 14, 85-90.G. Bergantiños and I. García-Jurado (1991). "A note on equalization in extensive form games". Games and Economic Behavior 3, 157-162.I. García-Jurado, E. Marchi and J. M. Prada-Sánchez (1991). "Refinamientos del concepto de equilibrio en extensiones generalizadas de juegos finitos". Trabajos de Investigación Operativa 6, 83-92.G. Fiestras-Janeiro and I. García-Jurado (1991). "A new geometric approach to bimatrix games". Qüestiió 15, 299-306.I. García-Jurado and J. M. Prada-Sánchez (1990). "A remark on Myerson's concept of proper equilibrium". International Journal of Game Theory 19, 11-16.I. García-Jurado (1989). "Un refinamiento del concepto de equilibrio propio de Myerson". Trabajos de Investigación Operativa 4, 11-21.

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Selected Publications of the SaGaTh Group II

Repeated Games

I. García-Jurado and J. González-Díaz (To appear). "The role of commitment in repeated games". Optimization.J. González-Díaz (2006). "Finitely repeated games: a generalized Nash folk theorem". Games and Economic Behavior 55, 100-111.I. García-Jurado, L. Méndez-Naya and F. Patrone (2000). "Unilateral commitments in finitely repeated games". International Game Theory Review 2, 129-139.

A. Faíña Medín, I. García-Jurado, L. Méndez-Naya and J. Méndez-Naya (1998). "Unilateral commitment in the finitely repeated prisioners' dilemma". Annals of Operations Research 84, 187-194.

Non-Cooperative Games and Mathematical Programming

A. Estévez-Fernández and G. Fiestras-Janeiro (2004). "On the properties of several refinements of optimal solutions in linear programming". Journal of Optimization Theory and Applications 122, 41-62.

G. Fiestras-Janeiro, I. García-Jurado and J. Puerto (2000). "The concept of proper solution in linear programming". Journal of Optimization Theory and Applications 106, 511-525.

Bankruptcy

I. García-Jurado, J. González-Díaz and A. Villar (To appear). "A noncooperative approach to bankruptcy problems". Spanish Economic Review.

P. Borm, L. Carpente, B. Casas-Méndez and R. Hendrickx (2005). "The constrained equal awards rule for bankruptcy problems". Annals of Operations Research 137, 211-227.

G. Bergantiños and E. Sánchez (2002). "The proportional rule for problems with constraints and claims". Mathematical Social Sciences 43, 225-249.

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Selected Publications of the SaGaTh Group III

Bargaining

J. González-Díaz, P. Borm and H. Norde (To appear). "A silent battle over a cake". European Journal of Operational Research.

B. Casas-Méndez, I. García-Jurado and J. M. Prada-Sánchez (1995). "Bargaining with graph-restricted communication". Cahiers du Centre d'Études de Recherche Opérationnelle 37, 25-41.G. Bergantiños, B. Casas-Méndez and M. Vázquez-Brage (2000). "A non cooperative bargaining procedure generalizing the Kalai-Smorodinsky bargaining solution to NTU games". International Game Theory Review 2, 273-286.

Power Indices

S. Lorenzo-Freire, J. M. Alonso-Meijide, B. Casas-Méndez and G. Fiestras-Janeiro (To appear). "Characterizations of the Deegan-Packel and Johnston power indices". European Journal of Operational Research.

J. M. Alonso-Meijide and G. Fiestras-Janeiro (2006). "The Banzhaf value and communication situations". Naval Research Logistics 53, 198-203.J. M. Alonso-Meijide, G. Fiestras-Janeiro and F. Carreras (2005). "The multilinear extension and the symmetric coalition Banzhaf value". Theory and Decision 59, 111-126.J. M. Alonso-Meijide and C. Bowles (2005). "Generating functions for coalitional power indices: an application to the IMF". Annals of Operations Research 137, 21-44.J. M. Alonso-Meijide and M. Rodríguez Mayo (2004). "Índices de poder en juegos de mayoría ponderada. Aplicación al congreso de los diputados después de las elecciones del 14 de marzo de 2004". GAMMA 4, 22-28.J. M. Alonso-Meijide and G. Fiestras-Janeiro (2002). "Modification of the Banzhaf value for games with a coalition structure". Annals of Operations Research 109, 213-227.F. Carreras, I. García-Jurado and M. A. Pacios (1993). "Estudio coalicional de los Parlamentos Autonómicos Españoles de Régimen Común". Revista de Estudios Políticos 82, 152-176.

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Selected Publications of the SaGaTh Group IV

Interactive Operations Research Models

F. R. Fernández, G. Fiestras-Janeiro, I. García-Jurado and J. Puerto (2005). "Competition and cooperation in non-centralized linear production games". Annals of Operations Research 137, 91-100.F. Klijn and E. Sánchez (2005). "Sequencing games without initial order". Mathematical Methods of Operations Research 63, 53-62.A. Meca, J. Timmer, I. García-Jurado and P. Borm (2004). "Inventory games". European Journal of Operational Research 156, 127-139.V. Fragnelli, I. García-Jurado and L. Méndez-Naya (2004). "A note on bus games". Economics Letters 82, 99-106.I. García-Jurado, P. Borm and A. Meca (2003). "Cooperation and competition in inventory games". Mathematical Methods of Operations Research 57, 481-493.F. R. Fernández, G. Fiestras-Janeiro, I. García-Jurado and J. Puerto (2003). "On the allocation of excesses of resources in linear production problems". In: Operations Research Proceedings 2002 (pp. 465-470). U. Leopold-Wildburguer, F. Rendl and G. Wäscher (eds.). Springer Verlag.P. Borm, G. Fiestras-Janeiro, H. Hamers, E. Sánchez and M. Voorneveld (2002). "On the convexity of games corresponding to sequencing situations in due dates". European Journal of Operational Research 136, 616-634.G. Bergantiños and E. Sánchez (2002). "How to distribute costs associated with a delayed project". Annals of Operations Research 109, 159-174.G. Bergantiños and E. Sánchez (2002). "NTU PERT games". Operations Research Letters 30, 130-140.J. Sánchez-Soriano, M. A. López and I. García-Jurado (2001). "On the core of transportation games". Mathematical Social Sciences 41, 215-225.J. Puerto, I. García-Jurado and F. R. Fernández (2001). "On the core of a class of location games". Mathematical Methods of Operations Research 54, 373-385.V. Fragnelli, I. García-Jurado and L. Méndez-Naya (2000). "On shortest path games". Mathematical Methods of Operations Research 52, 251-264.

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Selected Publications of the SaGaTh Group V

Solutions in TU and NTU games

J. González-Díaz, P. Borm, R. Hendrickx and M. Quant (2005). "A geometric characterisation of the compromise value". Mathematical Methods of Operations Research 61, 483-500.B. Casas-Méndez and J. M. Prada-Sánchez (2003). "On the properties of solutions for NTU communication situations". Mathematical Methods of Operations Research 58, 417-439.B. Casas-Méndez, I. García-Jurado, A. van den Nouweland and M. Vázquez-Brage (2003). "An extension of the tau-value to games with coalition structures". European Journal of Operational Research 148, 494-513.G. Bergantiños and E. Sánchez (2001). "Weighted values for games in generalized characteristic function form". Top 9, 55-67.G. Bergantiños and E. Sánchez (1999). "Coalitional values and generalized characteristic functions". Mathematical Methods of Operations Research 49, 413-433.M. Vázquez-Brage, A. van den Nouweland and I. García-Jurado (1997). "Owen´s coalitional value and aircraft landing fees". Mathematical Social Sciences 34, 273-286.G. Bergantiños and E. Sánchez (1997). "On values for generalized characteristic functions". OR Spektrum 19, 229-234.M. Vázquez-Brage, I. García-Jurado and F. Carreras (1996). "The Owen value applied to games with graph-restricted communication". Games and Economic Behavior 12, 45-53.G. Bergantiños, F. Carreras and I. García-Jurado (1992). "Cooperation when some players are incompatible". ZOR Methods and Models of Operations Research 38, 187-202.

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Selected Publications of the SaGaTh Group VI

Connections Between Cooperative and Non-Cooperative Models

L. Carpente, B. Casas-Méndez, I. García-Jurado and A. van den Nouweland (To appear). "The Shapley valuation function for strategic games in which players cooperate". Mathematical Methods of Operations Research 63.L. Carpente, B. Casas-Méndez, I. García-Jurado and A. van den Nouweland (2005). "Values for strategic games in which players cooperate". International Journal of Game Theory 33, 397-419.A. Meca, J. Sánchez-Soriano, I. García-Jurado and S. Tijs (1998). "Strong equilibria in claim games corresponding to convex games". International Journal of Game Theory 27, 211-217.G. Bergantiños and I. García-Jurado (1995). "Estudio comparativo de diversas funciones características asociadas a un juego en forma normal". Investigaciones Económicas XIX, 127-138.

Game Practice

I. García-Jurado, L. Méndez-Naya and (2004). "Density estimation using game theory". Mathematical Methods of Operations Research 59, 349-357.

H. Norde, V. Fragnelli, I. García-Jurado, F. Patrone and S. Tijs (2002). "Balancedness of infrastructure cost games". European Journal of Operational Research 136, 635-654.I. García-Jurado, F. Patrone and S. Tijs (2002). Game practice. Annals of Operations Research 109. Kluwer Academic Publishers.V. Fragnelli, I. García-Jurado, H. Norde, F. Patrone and S. Tijs (2000). "How to share railways infrastructure costs?.". In: Game Practice: Contributions from Applied Game Theory (pp. 91-101). F. Patrone, I. García-Jurado and S. Tijs (eds.). Kluwer Academic Publishers.F. Patrone, I. García-Jurado and S. Tijs (2000). Game practice: contributions from applied game theory. Kluwer Academic Publishers.I. García-Jurado, F. Valenciano and E. Winter (1998). Games and politics. Baltzer Science Publishers.