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Mathematical, computational and social aspects in voting and cooperation contexts

Total activity: 29
Type of activity
Competitive project
Acronym
VOTA-COOP
Funding entity
MIN DE ECONOMIA Y COMPETITIVIDAD
Funding entity code
MTM2015-66818-P
Amount
84.700,00 €
Start date
2016-01-01
End date
2019-12-31
Keywords
cooperación en juegos, cooperation in games, juegos de votación, mathematical models for decision-making, modelos matemáticos para la toma de decisiones, valores e índices de poder, values and power indices, voting games
Abstract
The team of this project, consisting of nine mathematicians, aims to develop their research in two broad areas: voting games and games of
cooperation, in their mathematical, computational and social aspects, areas in which the group has accumulated extensive experience
over the past two decades.
Some of the proposed objectives can be considered an extension of the work developed by the group in the existing project with MTM-
34426 code, since the progress achieved till now has opened new and challenging prospects. But, furthermore, other more innovative
goals are also pursued in the project, such as computational complexity analysis or studies which venture into social choice aspects, as
influence nets or collective decision models. The research history of the team in these fields is still reduced but our knowledge and
analysis capacity, together with the accumulated experience in game theory, assure our skills to develop the proposed goals with great
competence.
The project is structured around the following specific activities:
1. Voting games with alternatives: axiomatic characterizations, mathematical structure and applications.
2. Simple games with probability distributions associated to coalitions: theory and practice.
3. Study of bibliometric measures and evaluations of committees in sports or social contexts.
4. Study of properties of multinomial probability values; semivalues characterization through games of unanimity and introduction of
probabilistic coalitional values.
5. Study of semivalues for bicooperative games.
6. Study of parameters, properties and solutions concepts in influence games.
7. Study of models of collective decision and measures of centrality.
The studies to be developed will either give an answer or provide suggestions for solving problems in social contexts: analysis of current
voting systems (EU and other international organizations or national parliaments); analysis of evaluation committees in economical,
political, social, legal, academic or sport contexts; analysis of social networks and of the spread of influence on the agents involved in
decision-making models. We expect to get new theoretical and applied results to be published in pretigious journals.
Scope
Adm. Estat
Plan
Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016
Call year
2016
Funcding program
Programa Estatal de Fomento de la Investigación Científica y Técnica de Excelencia
Funding subprogram
Subprograma Estatal de Generación de Conocimiento
Funding call
Excelencia: Proyectos I+D
Grant institution
Gobierno De España. Ministerio De Economía Y Competitividad, Mineco

Participants

Scientific and technological production

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