This paper is an up-to-date survey of the state-of-the-art in dynamical systems theory relevant to high levels of dynamical complexity, characterizing chaos and near chaos, as commonly found in the physical sciences. The paper also surveys applications in economics and �finance. This survey...

Pena’s method of construction of a synthetic indicator is very sensitive to the order in which the constituent variables (whose linear aggregation yields the synthetic indicator) are arranged. Due to this, Pena’s method can at present give only an arbitrary synthetic indicator whose...

A general equilibrium model has been constructed in a stochastic endogenous growth economy driven by an Ito-Levy diffusion process. The minimum time to “economic maturity” for an underdeveloped economy has been computed both in the preference manifold of the modified Ramsey fashion and in...

In this paper we set up an oligopolistic market model, where firms invest in pollution abatement in order to increase the whole market size via an increase in the consumers’ reservation price. Moreover, we suppose that the demand function is not a linear one and the resulting game is not a...

This paper examines the effect of salvage market on strategic technology choice and capacity investment decision of two firms that compete on the amount of output they produce under demand uncertainty. A game theoretic model applies such that in the first stage firms choose their production...

This thesis aims to develop an alternative expectations model to the Rational Expectations Hypothesis (REH) and adaptive-expectations models, which provides more accurate temporal predictive performance and more closely reflects recent advances in behavioural economics, the ‘science of...

We present a simple method of solving first-order linear differential and difference equations with a constant term and a constant coefficient. When solving such equations standard books in mathematical economics resort to a particular integral and a complementary function without further...

This paper shows that under classical assumptions on technological mapping and presence of an indispensable production factor there is a bound on long-term per capita production. The bound does not depend on initial state of economy. It is shown that all feasible processes converge uniformly...

The model considered here will be formulated in relation to the “fishing problem,” even if other applications of it are much more obvious. The angler goes fishing, using various techniques, and has at most two fishing rods. He buys a fishing pass for a fixed time. The fish are caught using...

In the dynamic two-sided market environment, overpricing one side of the market not only discourages demand on that side but also discourages participation on the other side. Over time, this process can lead to a death spiral. This paper develops a dynamic structural model of the video game...