A New Tactic to Solve the Two Person Zero Sum Game Without Saddle Point
Journal Title: International Journal of Scientific Research and Reviews - Year 2013, Vol 2, Issue 2
Abstract
Aim of this paper is to investigate a new approach to solve two person zero sum game without saddle point. In this case the best strategies are mixed strategies and the mathematical models of a two person zero sum game where in decision makers have well defined set of strategies are presented. However, as usually happens in real practical problems, these remains some lack of precision of knowledge associated with the pay-off matrix. So many theoretic approaches have already been introduced by some authors in the game theory in recent past. The theoretical support provided by the use of probability approach indeed is a very useful tool to model the problem appropriately. We therefore use new approach to circumvent the imprecision involved in our problem. This type of problems solved easily by several primal-dual methods like Arithmetic method, Algebraic method, Matrix method, Calculus method etc. the new method proposes momentous advantages over similar methods.
Authors and Affiliations
Sharma P R , Shukla S
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