Game theory is an efficient tool to represent and conceptualize the problems concerning conflict and competition. In recent years and especially for durable products, competition between domestic and foreign brands for gaining market share has received a considerable attention. This paper study electronic commerce concepts by differential game theory and introduce a novel and comprehensive mode...

We study Nash equilibria for the deterministic ergodic N-players game. introduce pure strategies, mixed strategies and associated with those. show that a equilibrium in exists it is Mather measure Lagrangian system defined by cost functional. In conclusion, we mean field limit of game described PDE's continuum players.

The Generalised Nash Equilibrium Problem (GNEP) is a Nash game with the distinct feature that the feasible strategy set of a player depends on the strategies chosen by all her opponents in the game. This characteristic distinguishes the GNEP from a conventional Nash Game. These shared constraints on each player’s decision space, being dependent on decisions of others in the game, increases its ...

In this paper we present a Nash equilibrium problem of linear quadratic zero-sum dynamic games for descriptor system. We assume that the players give a linear feedback to the game. For the game with finite planning horizon we derive a differential Riccati type equation. For the game with infinite planning horizon we consider an algebraic Riccati type equation. The connection of the game solutio...

By defining a special differential Nash game with an open-loop information structure scheme, a simple and direct method to obtain non-uniform multiple pole shifting for linear multivariable systems is presented. The approach is based on exploiting some properties of nonsymmetric algebraic Riccati equations associated with the Nash game. Combining solutions of such equations gives, in a single s...

In this paper we establish a new connection between a class of 2-player nonzerosum games of optimal stopping and certain 2-player nonzero-sum games of singular control. We show that whenever a Nash equilibrium in the game of stopping is attained by hitting times at two separate boundaries, then such boundaries also trigger a Nash equilibrium in the game of singular control. Moreover a different...

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...

In order to accurately simulate the game behaviors of the market participants with bounded rationality, a new dynamic Cournot game model of power market considering the constraints of transmission network is proposed in this paper. The model is represented by a discrete differential equations embedded with the maximization problem of the social benefit of market. The Nash equilibrium and its st...

A new approach to modelling pedestrians' avoidance dynamics based on a Fokker-Planck (FP) Nash game framework is presented. In this framework, two interacting pedestrians are considered, whose motion variability is modelled through the corresponding probability density functions (PDFs) governed by FP equations. Based on these equations, a Nash differential game is formulated where the game stra...

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...