Jesús Mario Bilbao Arrese

Catedrático de Matemática Aplicada
Escuela Superior de Ingenieros
Universidad de Sevilla

Return to XXXIII years ago
mbilbao@us.es

Responsable del Grupo de Teoría de Juegos

Perfil     Reflexiones     Curriculum Vitae     shortVita

Actualmente, imparto la asignatura Cálculo

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Libros

Avances en Teoría de Juegos con Aplicaciones Económicas y Sociales
Secretariado de Publicaciones, Universidad de Sevilla (1999)

Cooperative Games on Combinatorial Structures
Kluwer Academic Publishers (2000)

Abstracts of the Fifth Spanish Meeting on Game Theory
Secretariado de Publicaciones, Universidad de Sevilla (2002)

Contributions to the Theory of Games
Annals of Operations Research 137, Springer Science (2005)

Special Issue on IMGTA
International Game Theory Review 8 (2006)

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Artículos

El potencial de Hart y Mas-Colell en juegos restringidos por grafos
Questiio 20 (1996) 71-86

Values and potential of games with cooperation structure
International Journal of Game Theory 27 (1998) 131-145

Axioms for the Shapley value on convex geometries
European Journal of Operational Research 110 (1998) 368-376

The Banzhaf power index on convex geometries
Mathematical Social Sciences 36 (1998) 157-173

Closure spaces and restricted games
Mathematical Methods of Operations Research 48 (1998) 57-69

Probabilistic values on convex geometries
Annals of Operations Research 84 (1998) 79-95

The core of games on convex geometries
European Journal of Operational Research 119 (1999) 365-372

The selectope for games with partial cooperation
Discrete Mathematics 216 (2000) 11-27

The Shapley value on convex geometries
Discrete Applied Mathematics 103 (2000) 33-40

The position value for union stable systems
Mathematical Methods of Operations Research 52 (2000) 221-236

Graphs, topologies and simple games
Questiio 24 (2000) 317-331

Simple games on closure spaces
Top 8 (2000) 43-55

Generating functions for computing power indices efficiently
Top 8 (2000) 191-213

The Shapley value for games on matroids: The static model
Mathematical Methods of Operations Research 53 (2001) 333-348

A unified approach to restricted games
Theory and Decision 50 (2001) 333-345

El índice de poder de Banzhaf en la Unión Europea ampliada
Questiio 25 (2001) 71-90

The Myerson value for union stable structures
Mathematical Methods of Operations Research 54 (2001) 359-371

A dual approach to compromise values
In Game Theory and Applications, vol. VII (L.A. Petrosjan, V.V. Mazalov, eds.)
Nova Science Publishers (2001) 23-32

Generating functions for computing the Myerson value
Annals of Operations Research 109 (2002) 143-158

The Tijs value for games on matroids
Top 10 (2002) 67-81

Voting power in the European Union enlargement
European Journal of Operational Research 143 (2002) 181-196

On the complexity of computing values of restricted games
International Journal of Foundations of Computer Science 13 (2002) 633-651

The Shapley value for games on matroids: The dynamic model
Mathematical Methods of Operations Research 56 (2002) 287-301

Some applications of convex analysis to cooperative game theory
Journal of Statistics and Management Systems 5 (2002) 39-61

Axiomatizations of the Shapley value for games on antimatroids
Mathematical Methods of Operations Research 57 (2003) 49-65

Computing power indices in weighted multiple majority games
Mathematical Social Sciences 46 (2003) 63-80

Cooperative games under augmenting systems
SIAM Journal on Discrete Mathematics 17 (2003) 122-133

An axiomatization of the Banzhaf value for cooperative games on antimatroids
Mathematical Methods of Operations Research 59 (2004) 147-166

Cooperative games on antimatroids
Discrete Mathematics 282 (2004) 1-15

The Lovász extension of market games
Theory and Decision 56 (2004) 229-238

The position value in communication structures
Mathematical Methods of Operations Research 59 (2004) 465-477

Values for interior operator games
Annals of Operations Research 137 (2005) 141-160

A note on a value with incomplete communication
Games and Economic Behavior 54 (2006) 419-429

The marginal operators for games on convex geometries
International Game Theory Review 8 (2006) 141-151

The distribution of power in the European Constitution
European Journal of Operational Research 176 (2007) 1752–1766

Algorithms for computing the Myerson value by dividends
In Discrete Mathematics Research Progress (Kenneth B. Moore, ed.)
Nova Science Publishers (2008) 125-137

The core and the Weber set for bicooperative games
International Journal of Game Theory 36 (2007) 209-222

Convexity properties for interior operator games
Annals of Operations Research 158 (2008) 117–131

The Shapley value for bicooperative games
Annals of Operations Research 158 (2008) 99–115

Biprobabilistic values for bicooperative games
Discrete Applied Mathematics 156 (2008) 2698-2711

A Survey of Bicooperative Games
In Pareto Optimality, Game Theory And Equilibria ( Altannar Chinchuluun et al., eds.)
Springer New York (2008) 187-216

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Trabajos

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Grupo de Teoría de Juegos de Sevilla

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Tesis Doctorales

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Proyecto Docente

Asignaturas

Programas

Prácticas de Laboratorio

El programa que hemos utilizado en las prácticas de Cálculo hasta el año 2003 es Maple V

Si tienes instalado Maple V puedes trabajar con estas hojas de trabajo que contienen las prácticas:

Durante el curso se realizaban varias sesiones evaluadas.

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Proyecto de Investigación

Métodos Combinatorios en Teoría de Juegos

Mathematica Notebooks

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Meeting on Game Theory and European Voting Games



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Noviembre de 2008