In this paper, we continue the study of the domination game in graphs introduced by Bre{v{s}}ar, Klav{v{z}}ar, and Rall. We study the paired-domination version of the domination game which adds a matching dimension to the game. This game is played on a graph $G$ by two players, named Dominator and Pairer. They alternately take turns choosing vertices of $G$ such that each vertex chosen by Domin...

Abstract   Vertical cooperative (co-op) advertising is typically a cost sharing mechanism and coordinated effort by the channel’s members in order to increase demand and overall profits. In this marketing strategy, the manufacturer shares a fraction of the retailer’s advertising investment. This paper studies the advertising and pricing decisions in a retailer-manufacturer supply chain in which...

Coalitional game deals with situations that involve cooperations among players, and there are different solution concepts such as the core,the Shapley value and the kernel. In many situations, there is no way to predict the payoff functions except for the expert experiencesand subjective intuitions, which leads to the coalitional game with fuzzy payoffs. Within the framework of credibility theo...

Data envelopment analysis (DEA) is an effective tool for supporting decision-makers to assess bankruptcy, uncertainty concepts including intervals, and game theory. The bankruptcy problem with the qualitative parameters is an economic problem under uncertainty. Accordingly, we combine the concepts of the DEA game theory and uncertain models as interval linear programming (ILP), which can be app...

Game theory is the study of mathematical models and cooperation between intelligent rational decision-makers. This paper provides a flexible model to calculate pay-off matrix based on several importance factors. This model is adapted by cooperative game and developed for some competitive advantages sections in pharmaceutical industry. An optimum solution is derived by considering Nash equilibri...

Dynamic game theory is applied to analyze the timber market in northern Iran as a duopsony. The Nash equilibrium and the dynamic properties of the system based on marginal adjustments are determined. When timber is sold, the different mills use mixed strategies to give sealed bids. It is found that the decision probability combination of the different mills follow a special form of attractor an...

the aim of this study was to determine the relationship between age and the soccer performance of elite male soccer players were playing with an emphasis on post. sample of 396 soccer players (36 goalkeeper, 168 defenders, 123 midfielders and 69 forwards) participating in the 2010 world cup in south africa, with a mean age of 27.23 ± 3.71 years, height 181.45 ± 6.43 cm and body mass 75.89 ± 6.4...