Stochastic, fuzzy, hybrid delayed dynamics heterogeneous competitions with product differentiation

Authors:
Mihaela Neamţu;Marilen Pirtea;Gabriela Mircea;Dumitru Opriş
Affiliations:
West University of Timişoara, Department of Economic Informatics and Statistics, Timişoara, Romania;West University of Timişoara, Department of Finance, Timişoara, Romania;West University of Timişoara, Department of Economic Informatics and Statistics, Timişoara, Romania;West University of Timişoara, Department of Mathematics, Timişoara, Romania
Venue:
WSEAS Transactions on Mathematics
Year:
2010

Citing 5
Cited 2

A survey of credibility theory

Fuzzy Optimization and Decision Making
Euler-Lagrange-Hamilton dynamics with fractional action

WSEAS Transactions on Mathematics
The study of some discrete IS-LM models with tax revenues and time delay

WSEAS Transactions on Mathematics
A discrete IS-LM model with tax revenues

MCBE'09 Proceedings of the 10th WSEAS international conference on Mathematics and computers in business and economics
Numerical simulations for dynamic stochastic and hybrid models of internet networks

WSEAS Transactions on Mathematics

The analysis of mathematical models associated to some economic growth processes with endogenous population

WSEAS Transactions on Mathematics
The study of some stochastic macroeconomic models

ACACOS'12 Proceedings of the 11th WSEAS international conference on Applied Computer and Applied Computational Science

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we study the heterogeneous duopoly with product differentiation, in which one firm is quantity setter and the other is price setter. The deterministic and stochastic models with delay are presented and fuzzy and hybrid models, as well. For the stochastic disturbance model with delay, sufficient conditions are done so that the steady state is asymptotically stable in mean and in mean square. Using programs in Maple 13 we make some numerical simulations that verify the theoretical results.