We study a quantum game played by two players with restricted multiple strategies. It is found that in quantum game Nash equilibrium does not always exist which is totally different from that in classical game. This happens only when the initial state is in entangled state. At the same time, we find that when Nash equilibrium exists the pay off function is usually different from that in the cla...

Hamiache’s recent axiomatization of the well-known Shapley value for TU games states that the Shapley value is the unique solution verifying the following three axioms: the inessential game property, continuity and associated consistency. Driessen extended Hamiache’s axiomatization to the enlarged class of efficient, symmetric, and linear values, of which the Shapley value is the most important...

Several works indicate the relationship between well-solved combinatorial optimization problems and the core non-emptiness of cooperative games associated with them. In this paper, we consider the core of symmetric traveling salesman games and relate it with well-solved cases of traveling salesman problems. We show that the core of a traveling salesman game in which the distance matrix is a sym...

in the explosive growth of business to business (b2b) electronic trades, electronic markets have received a great deal of attention recently. the obtained profit of trading in e-b2b market encourage market participants to remain in the market. market participants consist of: sellers, buyers, and market owner. in this paper the expected profit function for each market participant has been define...

For many decision problems with uncertainty, triangular intuitionistic fuzzy number is a useful tool in expressing ill-known quantities. This paper develops a novel decision method based on zero-sum game for multiple attribute decision making problems where the attribute values take the form of triangular intuitionistic fuzzy numbers and the attribute weights are unknown. First, a new value ind...

Game theory focuses on payoffs and typically ignores time constraints that play an important role in evolutionary processes where the repetition of games can depend on the strategies, too. We introduce a matrix game under time constraints, where each pairwise interaction has two consequences: both players receive a payoff and they cannot play the next game for a specified time duration. Thus ou...

In this paper, we present a matrix game cross-layer optimization formulation to maximize the network lifetime in wireless ad hoc networks with network coding. To this end, we introduce a cross-layer formulation of general NUM ( Maximization) that accommodates routing, scheduling, and stream control from different layers in the coded networks. Specifically, develop a matrix game with the strateg...

Much of the commercial success that Enter The Matrix has enjoyed is the result of its relationship with the Matrix trilogy, rather than the quality of play it offers. The game was released at the same time as The Matrix Reloaded (May 2003) and immediately became the fastest-selling title in its publisher’s history. The game is part of the Matrix franchise, but whatever its allegiances, it is a ...

A direct sum form is proposed for constructing a composite game from two 2 x 2 games, prisoner's dilemma and snowdrift game. This kind of direct sum form game is called a multiple roles game. The replicator dynamics of the multiple roles game with will-mixed populations is explored. The dynamical behaviors on square lattice are investigated by numerical simulation. It is found that the dynamica...