In this paper, two-person matrix games is considered whose elements of pay-off matrix are triangular fuzzy numbers (TFNs). To solve such game a new method based on α-cut of TFN is developed for each of the players. In this method, two auxiliary bi-objective linear programming (BOLP) models are derived. Then using average weighted approach these two BOLP models are decomposed into two auxiliary ...

We present a simple primal-dual algorithm for computing approximate Nash equilibria in two-person zero-sum sequential games with incomplete information and perfect recall (like Texas Hold’em poker). Our algorithm only performs basic iterations (i.e matvec multiplications, clipping, etc., and no calls to external first-order oracles, no matrix inversions, etc.) and is applicable to a broad class...

“Training to Fight Insurgent Forces” (TFIF) is a training environment in which Marine and Coalition commanders can practice military tactics against realistic asymmetric forces. TFIF integrates a game theoretic approach to specifying enemy tactics. In a traditional game theoretic approach, the red and blue force actions and payoffs are modeled in payoff matrices, and a Nash equilibrium (1950; 1...

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...

We show that a matrix game within groups in a finite-island model is effectively equivalent to a matrix game in a well-mixed population. The effective game matrix is a sum of interaction effects minus competition effects, weighted by identity measures involving up to three individuals. These identity measures are computed in the absence of selection but depend on the selection regime and the di...

Several works have indicated the relationships between polynomially solvable combinatorial optimization problems and the core non-emptiness of cooperative games associated with them, and between intractable combinatorial optimization problems and the hardness of the problem to decide the core non-emptiness of the associated games. In this paper, we study the core of a traveling salesman game, w...

Most of the work in evolutionary game theory starts with a model of a social situation that gives rise to a particular payoff matrix and analyses how behaviour evolves through natural selection. Here, we invert this approach and ask, given a model of how individuals behave, how the payoff matrix will evolve through natural selection. In particular, we ask whether a prisoner's dilemma game is st...

2 × games (such as the Prisoner’s Dilemma) are economic for studying cooperation and social decision-making. Linearly-additive decomposed variants of that can change framing game thereby provide researchers with additional flexibility measuring preferences cognition would not be possible standard (matrix-form) games. In this paper, we a systematic overview linearly-additive We show which in way...

As a special case of symmetric game in which the players share a common payoff matrix, evolutionary game provides a suitable approach to model and explore the emergence of cooperative behavior in natural and social systems. The evolutionary spatial game (ESG) further specifies the payoff for each individual by both the payoff matrix M and the spatial dependence structure of the population on a ...

We developed a system called Life Game Orchestra that generates music by translating cellular patterns of Conway's Game of Life into musical scales. A performer can compose music by controlling varying cell patterns and sounds with visual and auditory fun. A performer assigns the elements of tone to two-dimensional cell patterns in the matrix of the Game of Life. Our system searches defined cel...