A fuzzy logic analysis of coalitions (part 1)

A fuzzy logic model for bargaining is presented in two consecutive papers. This model ‘translates’ a group of assumptions obtained from a frequently consulted non-mathematical literature, which reflects the experience of prestigious authors about the topic of negotiation, establishing a simple and consensual rationality, that in contrast with previous approaches makes possible a prognostic of the bargaining process. Once this fuzzy model is built, it can be used in connection with the theory of Von Neumann and Morgenstern for n-personal games, becoming a new solution paradigm for these. The model was implemented on a MATLAB program. A fuzzy logic coalition analysis is presented from the model. The first paper include an explanation about the mathematical models in relation with the prognostic of negotiation results, a group of propositions that reflects the essence of bargaining process and the theoretical elements to understand the model and its advantages.