[图书][B] Nonlinear oligopolies

Oligopoly theory is one of the most intensively studied areas of mathematical economics. On
the basis of the pioneering works of Cournot (1838), many researchers have developed and …

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 …

Oligopoly games with local monopolistic approximation

GI Bischi, AK Naimzada, L Sbragia - Journal of economic behavior & …, 2007 - Elsevier
We propose an oligopoly game where quantity setting firms have incomplete information
about the demand function. At each time step they solve a profit maximization problem …

Non-performing loans, expectations and banking stability: A dynamic model

A Bacchiocchi, GI Bischi, G Giombini - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper proposes dynamic oligopolistic models to describe heterogenous banks that
compete in the loan market. Two boundedly rational banks adopt an adaptive behavior to …

Periodicities in linear fractional recurrences: degree growth of birational surface maps

E Bedford, K Kim - Michigan Mathematical Journal, 2006 - projecteuclid.org
Periodicities in Linear Fractional Recurrences: Degree Growth of Birational Surface Maps
Page 1 Michigan Math. J. 54 (2006) Periodicities in Linear Fractional Recurrences: Degree …

Critical homoclinic orbits lead to snap-back repellers

L Gardini, I Sushko, V Avrutin, M Schanz - Chaos, Solitons & Fractals, 2011 - Elsevier
When nondegenerate homoclinic orbits to an expanding fixed point of a map f: X→ X, X⊆ R
n, exist, the point is called a snap-back repeller. It is known that the relevance of a snap-back …

Some methods for the global analysis of dynamic games represented by iterated noninvertible maps

A Agliari, GI Bischi, L Gardini - Oligopoly dynamics: models and tools, 2002 - Springer
The time evolution of an oligopoly system is often described as an n-players game which is
played repeatedly, in the sense that at each discrete time period t= 0, 1,..., n producers …

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 …

On a rent-seeking game described by a non-invertible iterated map with denominator

G Bischi, M Kopel, A Naimzada - Nonlinear analysis, 2001 - boa.unimib.it
Adynamic rent seeking game with two boundedly rrational players is analyzed. The game is
modeled as a discrete dynamical system of the plane, represented by the iteration of a …

Dynamics and Global Bifurcations in Two Symmetrically Coupled Non-Invertible Maps

Y Soula, H Jahanshahi, AA Al-Barakati, I Moroz - Mathematics, 2023 - mdpi.com
The theory of critical curves determines the main characteristics of a discrete dynamical
system in two dimensions. One important property that has garnered recent attention is the …