The paper studies the open-loop saddle point and lower upper values, as well their relationship for two-person zero-sum stochastic linear-quadratic (LQ) differential games with...

In this paper, a non-cooperative two person zero-sum static game(with in a discrete interval of time) is formulated and analyzed for the interaction between the SYN flood attacker and the web server administrator. The SYN flood game (SFG) payoffs are calculated based on Erlang loss queuing model. The solution of the SFG leads to mixed strategy and analyzed for different scenarios the numerical ...

entrepreneurship has been known as a method of identifying new opportunities, allocating resources in the situation of uncertainty and creating an organization to manage resources. this paper describes religious learning approaches in which entrepreneurship is beneficial to society and individuals through its economic advantages. the benefits are gained through innovation, productivity and new ...

We study new classes of games, called zero-sum equivalent games and zero-sum equivalent potential games, and prove decomposition theorems involving these classes of games. We say that two games are “strategically equivalent” if, for every player, the payoff differences between two strategies (holding other players’ strategies fixed) are identical. A zero-sum equivalent game is a game that is st...

In 1951, Dantzig [3] showed the equivalence of linear programming and two-person zero-sum games. However, in the description of his reduction from linear programming to zero-sum games, he noted that there was one case in which his reduction does not work. This also led to incomplete proofs of the relationship between the Minmax Theorem of game theory and the Strong Duality Theorem of linear pro...

Vehicle routing problem is one of the most important issues in transportation. Among VRP problems, the competitive VRP is more important because there is a tough competition between distributors and retailers. In this study we introduced new method for VRP in competitive environment. In these methods Two-Person Nonzero Sum games are defined to choose equilibrium solution. Therefore, revenue giv...