The equilibrium problem with equilibrium constraints (EPEC) can be looked on as a generalization of Nash equilibrium problem (NEP) and the mathematical program with equilibrium constraints (MPEC) whose constraints contain a parametric variational inequality or complementarity system. In this paper, we particularly consider a special class of EPECs where a common parametric P-matrix linear compl...

duopoly game theory is applied to the wood industrial markets (sawnwood and pulpwood markets) in the north of iran. the nash equilibrium and the dynamic properties of the system based on marginal adjustments are determined. the probability that the nash equilibrium will be reached is almost zero. the dynamical properties of sawnwood and pulpwood prices derived via the duopoly game model are fou...

Duopoly game theory is applied to the wood industrial markets (sawnwood and pulpwood markets) in the North of Iran. The Nash equilibrium and the dynamic properties of the system based on marginal adjustments are determined. The probability that the Nash equilibrium will be reached is almost zero. The dynamical properties of sawnwood and pulpwood prices derived via the duopoly game model are fou...

We study extreme Nash equilibria in the context of a selfish routing game. Specifically, we assume a collection of n users, each employing a mixed strategy, which is a probability distribution over m parallel identical links, to control the routing of its own assigned traffic. In a Nash equilibrium, each user selfishly routes its traffic on those links that minimize its expected latency cost. T...

Note: This is a only a draft version, so there could be flaws. If you find any errors, please do send email to [email protected]. A more thorough version would be available soon in this space. In this chapter, we introduce the all important notion of pure strategy Nash equilibrium. We provide several examples to illustrate this notion. We show that pure strategy Nash equilibrium may not ex...

the strategic pricing decisions of assembly products in assembly products supply chain are studied in this paper. firstly, a two-stage assembly products supply chain model is developed. by building nash game model, the nash equilibrium solution of pricing strategy of supplier and assemblers is obtained. next, a union decision model is built to analyze the optimal combination pricing strategy of...

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...