A dynamic Cournot duopoly game, whose time evolution is modeled by the iteration of a map T : …x; y† ! …r1…y†; r2…x††, is considered. Results on the existence of cycles and more complex attractors are given, based on the study of the one-dimensional map F …x† ˆ …r1 r2†…x†. The property of multistability, i.e. the existence of many coexisting attractors (that may be cycles or cyclic chaotic sets...

This paper studies a discrete-time dynamic duopoly game with homogenous goods. Both firms have to decide on investment where increases production capacity so that they are able put larger quantity the market. The downside, however, is raises pollution. multiple objectives in sense each one maximizes discounted profit stream and appreciates clean environment as well. We obtain some surprising re...

We study the evolutionary selection of conjectures in duopoly games when players have other regarding preferences, i.e. preferences over payoff distributions. In both the Cournot and Bertrand duopoly games, the consistent conjectures are independent of other regarding preferences. Both duopoly games have evolutionarily stable conjectures that depend on other regarding preferences but that do no...

The paper considers a nonlinear duopoly game with heterogeneous players, boundely rational and naive expectations. A duopoly game is modelled by two nonlinear difference equations. The existence and stability of the equilibria of this system are studied. The complex dynamics, bifurcations and chaos are displayed by computing numerically the largest Lyapunov exponents, sensitive dependence on in...

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...

We investigate a dynamic advertising model where product quality is endogenous. In the differential game between single-product firms, there exists a parameter range where the low-quality firm uses a more efficient advertising technology and earns higher profits than the rival. Moreover, we show that equilibrium qualities are the same under duopoly, multiproduct monopoly and social planning, th...

A dynamic Cournot duopoly game, characterized by finns with bounded rationality, is represented by a discrete-time dynamical system of the plane. Conditions ensuring the local stability ofa Nash equilibrium, under a local (or myopic) adjustment process, are given, and the influence ofmarginal costs and speeds ofadjustment of the two finns on stability is studied. The stability loss ofthe Nash e...

We consider a duopoly game model of R&D (research and development) rivalry between two high-tech firms with time delay, in which monopoly sector spillover is studied using mixture theory nonlinear dynamics theory. The local asymptotic stability the equilibrium point by analyzing corresponding characteristic equation. It found that delay can lead system dynamic behavior to exhibit switches H...