Game Theory and Applications

Brief description and aims of the program:

  1. Modeling and analyzing of socio-economic problems from the perspective of Game Theory. A list of problems is the following:
    1. Auction of ordered goods and objects with bimodal valuation and risk analysis.
    2. Social and economic networks and dissemination of information through a network:
      centrality measures of individual and group, assignment rules for cooperative games as generalized characteristic function, dynamic models and analysis of the influence of individuals and groups on the behavior of the society.
    3. The iterated prisoner's dilemma and graduated discount: recovery of cooperation.
    4. Evolutionary games in social networks.
    5. Analysis of criminal behavior: effect of the amount of the penalty on the behavior of potential offenders, influence of social context on the criminal behavior of individuals.
    6. Preparation of schedules for project implementation.
    7. Bilateral negotiation on exchange markets with symmetric information and
      asymmetric, with and without restrictions on communication.
  2. To develop a software for implementing each of the solutions of the previously raised real problems. This software is partially based on experimental prototypes to estimate and/or calculate in polynomial time some of the solutions previously established. The software will be freely disseminated on the web and will be presented together with some examples to make it easier to understand.

Website:         http://www.ams.org/mathscinet/search/publications.html?pg1=IID&s1=231779

Researchers: Juan Tejada Cazorla (Associate Professor, Fac. Math. UCM)
                        Estrella Alonso (ICAI, Universidad Pontificia de Comillas)
                        Javier Castro (Associate Professor, Fac. Statistics UCM)
Rosario Espínola (Post-doc, Fac. Statistics UCM)
Ramón Flores (UC3M)
Enrique González Arangüena (Associate Professor, Fac. Statistics UCM)
Conrado Manuel (Associate Professor, Fac. Statistics UCM)
Elisenda Molina (UC3M)
Eduardo Ortega. (Associate Professor, Fac. Statistics UCM)
Mónica Pozo (UC3M)

External collaborators:  Guillermo Owen (Naval Postgraduate School, USA)
                                          Anna Kmelnitskaya (University St. Petersbourg)
                                          Elena Parilina (University St. Petersbourg)
                                          Rene Van den Brink (University of Amsterdam)