A game of group pursuit in which players move on a plane with bounded velocities is considered. The game is supposed to be a nonzerosum simple pursuit game between an evader and m pursuers acting independent of each other. The case of complete information is studied. In other words, each player, choosing control variables at each time instant t > 0, knows the moment t and his own as well as all...

Forming effective coalitions is a major research challenge in AI and multi-agent systems. Thus, cooperative games, including Coalition Structure Generation (CSG), have been attracting considerable attention from the AI research community. Traditionally, the input of a cooperative game is a black-box function called a characteristic function. Therefore, many problems in cooperative games, includ...

In this paper, we give a further discussion on the core solution for cooperative games with fuzzy payoffs. Some notions and results from classical games are extended to fuzzy cooperative games. Using an example, we point out that the theorem about the nonempty of I-core proposed in 2008 was not sufficient. Furthermore, the equivalence relation between balanced game and nonempty core, which play...

Non-orthogonal multiple access (NOMA) is a Fifth Generation (5G) technique that allows many users to simultaneously the same time–frequency separating channels via successive interference cancellation (SIC) receiver. Cooperative NOMA (CNOMA) an effective tool prevent performance degradation of far by allocating minimal power with good channel conditions. In this paper, we proposed fair and allo...

Due to its role in the identification of inefficient branches and deciding the consistency of their activities, evaluating the performance of a bankchr('39')s branches is one of the most important decisions in the field of development and regulation of branch network. In this paper, the satisfactory functions based on game theory strategies have been utilized in order to evaluate the individual...

We consider stochastic cooperative game and give it the definition of the Owen value, which is obtained by extending the classical case. Then we provide explicit expression for the Owen value of the stochastic cooperative game and discuss its existence and uniqueness.

Here we present a ground-breaking new postulate for game theory. The first part of this postulate contains the axiomatic observation that all games are created by a designer, whether they are: e.g., (dynamic/static) or (stationary/non-stationary) or (sequential/one-shot) non-cooperative games, and importantly, whether or not they are intended to represent a non-cooperative Stackelberg game, the...

in this study, the social welfare impacts of the interaction of iranian rice import policies and thai export policies are analyzed using a game theoretic approach in conjunction with econometric supply and demand models. the joint impacts of increasing the world price of rice, resulting from the export policies in thailand along with changes in tariff rates in iran, on social welfare are analyz...

A game on a convex geometry was introduced by Bilbao as a model of partial cooperation. We investigate some properties of the core of a game on a convex geometry. First, we show that if a game is quasi-convex, then the core is stable. This result can be seen as an extension of a result by Shapley for traditional cooperative games. Secondly, we show the core on the class of balanced games on a c...