The game of darts has enjoyed great growth over the past decade with perception moving from that a pub to is regularly scheduled on prime-time television in many countries such as United Kingdom, Germany, Netherlands, and Australia, among others. It involves strategic interactions between two players, but date, literature ignored these interactions. In this paper, we formulate solve dynamic zer...

In this paper we present a Nash equilibrium problem of linear quadratic zero-sum dynamic games for descriptor system. We assume that the players give a linear feedback to the game. For the game with finite planning horizon we derive a differential Riccati type equation. For the game with infinite planning horizon we consider an algebraic Riccati type equation. The connection of the game solutio...

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...

In this section, we will first prove that any 2-player zero-sum finite game has a Nash equilibrium of mixed strategies (a special case of Nash’s theorem), and a Nash equilibrium can be found through solving linear programs. We will further show how to prove lower bounds on randomized complexity of Las Vegas algorithms using this result. A 2-player game is a zero-sum game if the sum of the payof...

Abstract The objective of this paper is to study a class zero-sum optimal stopping games diffusions under so-called Poisson constraint: the players are allowed stop only at arrival times their respective Poissonian signal processes. These processes can have different intensities, which makes game setting asymmetric. We give weak and easily verifiable set sufficient condition we derive semi-expl...