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GLOBAL STABILITY OF A NONLINEAR DISCRETE POPULATION MODEL WITH TIME DELAYS

FANG, NA; CHEN, XIAOXING - In: Advances in Complex Systems (ACS) 10 (2007) 03, pp. 315-333

The global stability of a nonlinear discrete population model of Volterra type is studied. The model incorporates time delays. By linearization of the model at positive solutions and construction of Liapunov functionals, sufficient conditions are obtained to ensure that a positive solution of...

Persistent link: https://www.econbiz.de/10005047451

A time delay model for a new technology

Maddalena, Lucia; Fanelli, Viviana - Dipartimento di Scienze Economiche, Matematiche e … - 2008

In this paper we propose a mathematical model with time delay to describe the process of the diffusion for a new … also consider the internal influence from those who already are adopters. The time delay represents the evaluation stage at … which the potential consumers decide whether to adopt the new technology or not. A delay differential equation describes the …

Persistent link: https://www.econbiz.de/10005434773

GLOBAL STABILITY OF NASH EQUILIBRIUM IN AGGREGATIVE GAMES

OKUGUCHI, KOJI; YAMAZAKI, TAKESHI - In: International Game Theory Review (IGTR) 16 (2014) 04, pp. 1450014-1

If an aggregative game satisfies the generalized Hahn conditions, then there exists a unique Nash equilibrium which may not be interior and is globally asymptotically stable under two alternative continuous adjustment processes with non-negativity constraints.

Persistent link: https://www.econbiz.de/10011096380

History versus Expectations in Economic Geography Reconsidered

Oyama, Daisuke - Volkswirtschaftliche Fakultät, … - 2006

This paper studies global stability of spatial configurations in a dynamic two-region model with quadratic adjustment costs where rational migrants make migration decisions so as to maximize their discounted future utilities. A global analysis is conducted to show that, except for knife-edge...

Persistent link: https://www.econbiz.de/10011113148

Simple Fixed Point Results for Order-Preserving Self-Maps and Applications to Nonlinear Markov Operators

Kamihigashi, Takashi; Stachurski, John - Research Institute for Economics and Business … - 2013

Consider a preordered metric space (X; d;). Suppose that d(x; y) d(x0; y0) if x0 x y y0. We say that a self-map T on X is asymptotically contractive if d(Tix; Tiy) ! 0 for all x; y 2 X. We show that an order-preserving self-map T on X has a globally stable xed point if and only if T is...

Persistent link: https://www.econbiz.de/10010822750

Bifurcation, Chaos and Attractor in the Logistic Competition

Małgorzata, Guzowska - In: Folia Oeconomica Stetinensia 10 (2012) 2, pp. 7-18

This paper deals with a two-dimensional discrete time competition model. The corresponding twodimensional iterative map is represented in terms of its bifurcation diagram in the parameter plane. A number of bifurcation sequences for attractors and their basins are studied.

Persistent link: https://www.econbiz.de/10011008125

PERMANENCE AND GLOBAL STABILITY FOR NONLINEAR DISCRETE MODEL

XIAOXING, CHEN - In: Advances in Complex Systems (ACS) 09 (2006) 01, pp. 31-40

A discrete nonlinear model is studied and sufficient conditions which guarantee the permanence of the model are obtained. Assuming that the coefficients in the model are periodic, the existence of periodic solutions are obtained. Sufficient conditions are obtained to ensure the global stability...

Persistent link: https://www.econbiz.de/10005047416

History versus Expectations in Economic Geography Reconsidered

Oyama, Daisuke - Volkswirtschaftliche Fakultät, … - 2006

Persistent link: https://www.econbiz.de/10005836899

A Re-Interpretation of Nash Equilibrium Based on the Notion of Social Institutions

Carmona, Guilherme - EconWPA - 2003

We define social institutions as strategies in some repeated game. With this interpretation in mind, we consider the impact of introducing requirements on strategies which have been viewed as necessary properties for any social institution to endure. The properties we study are finite...

Persistent link: https://www.econbiz.de/10005118602

Global stability in spite of "local instability" with learning in general equilibrum models

Chatterji, Shurojit; Chattopadhyay, Subir - Instituto Valenciano de Investigaciones Económicas (IVIE) - 1997

It is known through earlier work that deterministic temporary equilibrium dynamics with least squares learning are locally divergent from a steady state whenever the initial parameter estimates of the agents is high. This paper establishes that the learning dynamics may be globally stable in...

Persistent link: https://www.econbiz.de/10008542856