Plane maps with denominator I: some generic properties

GI Bischi, L Gardini, C Mira - International Journal of bifurcation and …, 1999 - World Scientific
This paper is devoted to the study of some global dynamical properties and bifurcations of
two-dimensional maps related to the presence, in the map or in one of its inverses, of a …

Plane maps with denominator. Part II: Noninvertible maps with simple focal points

GI Bischi, L Gardini, C Mira - International Journal of Bifurcation and …, 2003 - World Scientific
This paper is the second part of an earlier work devoted to the properties specific to maps of
the plane characterized by the presence of a vanishing denominator, which gives rise to the …

Plane maps with denominator. Part III: nonsimple focal points and related bifurcations

GI Bischi, L Gardini, C Mira - International Journal of Bifurcation and …, 2005 - World Scientific
This paper continues the study of the global dynamic properties specific to maps of the plane
characterized by the presence of a denominator that vanishes in a one-dimensional …

Adaptive and statistical expectations in a renewable resource market

I Foroni, L Gardini, JB Rosser Jr - Mathematics and Computers in …, 2003 - Elsevier
Rational expectations models have increasingly been replaced by models with various
forms of learning. This paper studies the global dynamics of a model of renewable resource …

Unbounded sets of attraction

GI Bischi, C Mira, L Gardini - International Journal of Bifurcation and …, 2000 - World Scientific
In this paper we show that unbounded chaotic trajectories are easily observed in the
iteration of maps which are not defined everywhere, due to the presence of a denominator …

[PDF][PDF] A stochastic cobweb dynamical model

S Brianzoni, C Mammana, E Michetti… - Discrete Dynamics in …, 2008 - researchgate.net
The cobweb model is a dynamical system that describes price fluctuations as a result of the
interaction between demand function, depending on current price, and supply function …

Learning in a double-phase cobweb model

F Cavalli, A Naimzada, L Parisio - Decisions in Economics and Finance, 2021 - Springer
In this paper, we study a class of markets, among which we can mention agricultural and
energy markets, characterized by seasonality, ie, in which demand and/or supply conditions …

A tâtonnement process with fading memory, stabilization and optimal speed of convergence

F Cavalli, A Naimzada - Chaos, Solitons & Fractals, 2015 - Elsevier
The purpose of this work is to provide a way to improve stability and convergence rate of a
price adjustment mechanism that converges to a Walrasian equilibrium. We focus on a …

[PDF][PDF] Basins of attraction in an evolutionary model of boundedly rational consumers

GI Bischi, F Tramontana - Pure Mathematics Applications, 2007 - academia.edu
We consider a two-dimensional discrete dynamical system that describes an evolutionary
approach to the economic problem of consumers' demand under the assumption of …

Ways of learning in a simple economic setting: a comparison

D Colucci, V Valori - Chaos, Solitons & Fractals, 2006 - Elsevier
We analyse the capacity of a range of different learning rules to describe actual human
behaviour in the experiment on expectation formation in a cobweb model conducted by …