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Título del libro: Perspectives In Applied Mathematics
Título del capítulo: Many-body effects in the coalition formation process

Autores UNAM:
FERNANDO DE SAMANIEGO STETA; GERARDO GARCIA NAUMIS; MARCELO DEL CASTILLO MUSSOT;
Autores externos:

Idioma:

Año de publicación:
2011
Palabras clave:

Degrees of freedom (mechanics); Group theory; Statistical mechanics; Coalition formations; Interaction parameters; Internal degrees of freedom; Many-body interactions; Political parties; Renormalization group theory; Three-body interaction; Two-body interactions; Spin glass


Resumen:

There are many models that try to explain the formation of social networks, for example the coalitions of agents. Such models are useful to understand the alliances formed in wars, economical conflicts, political parties, etc. Most of the models use two-body interactions to simulate the relationship between agents, supposing that a pair interaction can't be affected by the rest of the agents in the system. However, in this work we show that such model is not good enough to explain all real phenomena that occur in coalition formation. Thus, as happens in nuclear physics, many body interactions have to be considered in social models. Particularly, we present a study of the effects of three-body interactions in the process of coalition formation, modifying a spin glass model of bimodal propensities in order to include a particular three-body Hamiltonian that reproduces the main features of the required interactions. We apply the model to a simplificated scenario of the Iraq war. For the calculation of the interaction parameters between agents, we propose the usage of the renormalization group theory to include all internal degrees of freedom of the social system. © 2011 by Nova Science Publishers, Inc. All rights reserved.


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