Proposition of a deviation equilibrium index for solutions based on the application of multi-criteria method based on Game Theory

Abstract

To assist managers in their decision making, the use of methods to support decision making has been used since the 1950s , with strong emphasis on optimizing the economic-financial and operational issues. The praxis of most of these methods is based on the decision maker as an individual, and the use of these methods in multicriteria decision making in groups has been proposed with the addition of vectors. However, despite being a common practice, aggregation can conceal conflicts. Within this context, Leoneti (2012) proposed a multi-criteria method, the application of game theory and the Nash Equilibrium, considering the conflict of interests in decision-making in a group environment and incorporates the strategies adopted by decision makers to establish a compromise solution, without using the traditional way of optimization by aggregating the weights. Thus, this project proposes the application of the proposed on real situations of choice group to see which is the best measurement scale (continuous or discrete) for the preferences of the players with regard to the criteria and assess the results of applications aiming method to ascertain whether the groups adopt the equilibrium solution , proposing an index of deviation when not to adopt. Finally, these solutions are compared with the solutions of equilibrium optimization solutions with the aid of a traditional multicriteria optimization method with the aim of demonstrating the applicability of the method to other areas of knowledge as a tool to aid decision making group.