Nash equilibrium seeking in noncooperative games

P Frihauf, M Krstic, T Basar - IEEE Transactions on Automatic …, 2011 - ieeexplore.ieee.org
We introduce a non-model based approach for locally stable convergence to Nash equilibria
in static, noncooperative games with N players. In classical game theory algorithms, each …

Heterogeneous duopoly with isoelastic demand function

F Tramontana - Economic Modelling, 2010 - Elsevier
In this paper we analyze a duopolistic market with heterogeneous firms when the demand
function is isoelastic (Puu, T., 1991. Chaos in duopoly pricing. Chaos, Solitons and Fractals …

Nonlinear dynamics and global analysis of a heterogeneous Cournot duopoly with a local monopolistic approach versus a gradient rule with endogenous reactivity

F Cavalli, A Naimzada, F Tramontana - Communications in Nonlinear …, 2015 - Elsevier
We study a heterogeneous duopolistic Cournotian game, in which the firms, producing a
homogeneous good, have reduced rationality and respectively adopt a “Local Monopolistic …

[图书][B] Extremum seeking through delays and PDEs

TR Oliveira, M Krstic - 2022 - SIAM
The year in which this book appears is the centennial of the 1922 invention, in the context of
maximizing the power transfer to an electric tram car [130], of the method for real-time …

[HTML][HTML] Dynamics of a delayed duopoly game with bounded rationality

AA Elsadany - Mathematical and Computer Modelling, 2010 - Elsevier
A bounded rationality duopoly game with delay is formulated. Its dynamical evolution is
analyzed. The existence of an economic equilibrium of the game is derived. The local …

Complex dynamics analysis for a duopoly Stackelberg game model with bounded rationality

Y Peng, Q Lu - Applied Mathematics and Computation, 2015 - Elsevier
In view of the effect of differences between plan products and actual products, a duopoly
Stackelberg model of competition on output is formulated. The firms announce plan products …

Distributed-observer-based Nash equilibrium seeking algorithm for quadratic games with nonlinear dynamics

B Huang, Y Zou, Z Meng - IEEE Transactions on Systems, Man …, 2020 - ieeexplore.ieee.org
In this article, a class of distributed quadratic games is considered over an undirected graph.
The issue on the communication topology restriction is introduced and the players' dynamics …

Tripoly Stackelberg game model: one leader versus two followers

SS Askar - Applied Mathematics and Computation, 2018 - Elsevier
This paper is devoted to introduce and study a Stackelberg game consisting of three
competed firms. The three firms are classified as a leader which is the first firm and the other …

Effect of information asymmetry in Cournot duopoly game with bounded rationality

M Ueda - Applied Mathematics and Computation, 2019 - Elsevier
We investigate the effect of information asymmetry on a dynamic Cournot duopoly game with
bounded rationality. Concretely, we study how one player's possession of information about …

Complexity analysis of dynamic R&D competition between high-tech firms

W Zhou, H Liu - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
A two-stage duopoly Cournot game model with nonlinear inverse demand function and R&D
spillover is established in this paper, and the local stability of the equilibrium points is further …