The values of a two-player zero-sum binary discounted game are characterized by a P-matrix linear complementarity problem (LCP). Simple formulas are given to describe the data of the LCP in terms of the game graph, discount factor, and rewards. Hence it is shown that the unique sink orientation (USO) associated with this LCP coincides with the strategy valuation USO associated with the discount...

The purpose of the paper is to study how to solve a type of matrix games with payoffs of triangular fuzzy numbers. In this paper, the value of a matrix game with payoffs of triangular fuzzy numbers has been considered as a variable of the triangular fuzzy number. First, based on two auxiliary linear programming models of a classical matrix game and the operations of triangular fuzzy numbers, fu...

A two person zerosum game is of the form 〈{1, 2}, S1, S2, u1,−u1〉. Note that when a player tries to maximize her payoff, she is also simultaneously minimizing payoff of the other player. For this reason, these games are also called strictly competitive games. Player 1 is usually called the row player and player 2 is called the column player . Let S1 = {s11, s12, . . . , s1m} and S2 = {s21, s22,...

We consider a topological Hamiltonian and establish correspondence between its eigenstates the resource for causal order game introduced in Ref. [1] known as process matrix. show that quantum correlations generated many-body energy of model can mimic statistics be obtained by exploiting different measurements on matrix game. This provides an interpretation expectation values observables compute...

In this paper, we discuss some matrix techniques in game theory. In particular, we give a short proof of the fact that equilibrium pairs of a two-person general-sum game can be found by solving certain systems of linear inequalities, and hence some standard linear programming packages such as LINDO or Maple can be used to do the computation. The technique is also used to study evolutionary game...

In this paper we study a game problem, called bin packing game with an interest matrix, which is a generalization of all the currently known bin packing games. In this game, there are some items with positive sizes and identical bins with unit capacity as in the classical bin packing problem; additionally we are given an interest matrix with rational entries, whose element aij stands for how mu...

We study an evolutionary game model based on a transition matrix approach, in which the total change in the proportion of a population playing a given strategy is summed directly over contributions from all other strategies. This general approach combines aspects of the traditional replicator model, such as preserving unpopulated strategies, with mutation-type dynamics, which allow for nonzero ...

Introduction: Video games are common cultural issues with great influence in all societies. One of the important cognitive effects of video games is on creating stress on video players. The present research objective was to study different types of stress in players based on video game styles.  Methods: A total of 80 players, aged 18 to 30 years, played four types of video games;  Ru...

When creating a digital serious game the major challenge arises from the selection of a game engine, one which optimally supports the right balance between engagement and learning. The approach presented in this paper is based upon a generic model of a value benefit analysis. The model is enhanced by a matrix which encodes the evaluation of a game framework not only by its value for the individ...