Teoria de jogos nebulosos na resolução de problemas de decisão e conflito de interesses / Fuzzy game the theory to solve decision making and conflicting problems

AUTOR(ES)
DATA DE PUBLICAÇÃO

2007

RESUMO

Game theory is a branch of applied mathematics whose aim is to model and study decision making in conflicting situations. In these situations, the main goal is to choose the best strategy for all the players in the game, that is, to find the equilibrium solutions. Game theory can be defined as the study of how self-interested entities interact and make decisions. There are many applications of game theory in different areas. One of the main applications is in microeconomy, where situations of conflict between companies exist and there is a need to find the optimal strategies in that situation. In practice however, model parameters are imprecise. Fuzzy set theory allows modeling flexibility because imprecise data can be treated using fuzzy models. This work concerns Fuzzy Game Theory. Equilibrium strategies are studied and computational methods developed to solve fuzzy game problems. A new method to solve fuzzy games using evolutionary computation is introduced. A method based on α-cuts and on a decomposition algorithm to solve bilinear models also presented to solve fuzzy non zero-sum games. Algorithms were implemented and applications examples are discussed to illustrate the usefulness of fuzzy games in practice.

ASSUNTO(S)

computação evolutiva programação linear conjuntos difusos programação não linear game theory linear programming teoria dos jogos non-linear programming evolutionary computation fuzzy sets

ACESSO AO ARTIGO

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