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Business cycle theory has been one of the fastest growing fields in
modern nonlinear economic dynamics. The book is centered around
models of multiplier-accelerator type, emerging from Samuelson's
seminal work, later developed into nonlinear formats by Hicks and
Goodwin. These models left open ends, as the tools then available
did not permit more systematic analysis. The present situation is
different, due to the emergence of new methods also focusing global
analysis. The focus on classical, causal or recursive models
implies a deviation from current main stream business cycle theory,
based on "rational expectations," which in view of the possibility
of mathematical chaos becomes untenable. This book is a rejoinder
to Puu and Sushko, Oligopoly Dynamics - Models and Tools, (Springer
2002).
The essays in this special volume survey some of the most recent
advances in the global analysis of dynamic models for economics,
finance and the social sciences. They deal in particular with a
range of topics from mathematical methods as well as numerous
applications including recent developments on asset pricing,
heterogeneous beliefs, global bifurcations in complementarity
games, international subsidy games and issues in economic
geography. A number of stochastic dynamic models are also analysed.
The book is a collection of essays in honour of the 60th birthday
of Laura Gardini.
The investigation of dynamics of piecewise-smooth maps is both
intriguing from the mathematical point of view and important for
applications in various fields, ranging from mechanical and
electrical engineering up to financial markets. In this book, we
review the attracting and repelling invariant sets of continuous
and discontinuous one-dimensional piecewise-smooth maps. We
describe the bifurcations occurring in these maps (border collision
and degenerate bifurcations, as well as homoclinic bifurcations and
the related transformations of chaotic attractors) and survey the
basic scenarios and structures involving these bifurcations. In
particular, the bifurcation structures in the skew tent map and its
application as a border collision normal form are discussed. We
describe the period adding and incrementing bifurcation structures
in the domain of regular dynamics of a discontinuous
piecewise-linear map, and the related bandcount adding and
incrementing structures in the domain of robust chaos. Also, we
explain how these structures originate from particular
codimension-two bifurcation points which act as organizing centers.
In addition, we present the map replacement technique which
provides a powerful tool for the description of bifurcation
structures in piecewise-linear and other form of invariant maps to
a much further extent than the other approaches.
The essays in this special volume survey some of the most recent
advances in the global analysis of dynamic models for economics,
finance and the social sciences. They deal in particular with a
range of topics from mathematical methods as well as numerous
applications including recent developments on asset pricing,
heterogeneous beliefs, global bifurcations in complementarity
games, international subsidy games and issues in economic
geography. A number of stochastic dynamic models are also analysed.
The book is a collection of essays in honour of the 60th birthday
of Laura Gardini.
This research was aimed at broadening the dominant public discourse
on trafficking in Ukraine. It was focused on two issues: firstly,
on introducing the cultural dimension of trafficking, which has
been emphasized but not sufficiently studied in the existing
literature and, secondly, on problematizing the binary approach
taken in the public discourse in Ukraine of consensual migration
vs. non consensual trafficking. For this purpose the interviews
conducted by the anti-trafficking NGO La Strada with 23 trafficked
women upon their arrival have been analyzed. The content analysis,
used as a main tool of research, has shown that first, apart from
economic factors that shaped these interviewed womens decision to
leave Ukraine there was also a cultural dimension that included
legacy of socialist ideology, the post-1991 transitional period
with import of western glamour, psychological climate in the
family, etc. Second, the analysis of the interviews has shown that
in all cases 23 trafficked women did give their express consent to
traffickers either verbally or in a written form and thus it has
shown that trafficking could be a voluntary act.
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