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

Grant number: 14/09540-0
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): August 01, 2014
Effective date (End): July 31, 2015
Field of knowledge:Applied Social Sciences - Administration
Principal Investigator:Alexandre Bevilacqua Leoneti
Grantee:Fernanda de Sessa
Home Institution: Faculdade de Economia, Administração e Contabilidade de Ribeirão Preto (FEARP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil


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 .