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In the last 30 years, derivatives have become increasingly
important in the world of finance. Their frequent use has caused
instability on financial markets, so as to leave ample
opportunities for profit to speculators with large capitals. Just
the sudden price fluctuations and the strong speculative pressures
have exacerbated the present economic crisis. The current financial
system is based on virtual money which does not confluence into the
real economy, remaining stuck in the finance world ("credit crunch"
phenomenon). So, it becomes appropriate to establish the "rules of
the game," in order to redistribute the social wealth in a way at
least close to the equity concept. Just this, as much as possible,
we try to do in this work: we study a game theory model in which we
see as a simple method (the application of a tax on speculative
financial transactions) can cure a sick system, stabilizing the
financial markets. The objective can be realized, as we shall see,
without inhibiting the profit opportunity, nor for businesses nor
for speculators. Also, in a second coopetitive game theory model,
we propose a solution to the credit crunch, in order to allow a
global economic recovery.
In this insightful and original book, Game Complete Analysis of
Classic Economic Duopolies, David Carfi and Emanuele Perrone
propose a game complete analysis of Cournot and Bertrand (symmetric
and asymmetric) duopolies. Looking in more detail at the outline of
the volume, Chapter 1 is an introductory chapter to the Complete
Analysis of Differentiable Games, applied in the other four
chapters. In Chapter 2 and 4, Carfi and Perrone deal with symmetric
Cournot and Bertrand duopolies. The authors apply the Complete
Analysis of Differentiable Games to the classic symmetric
duopolies, an economic situation in which there are two firms
producing the same commodity and selling it in the same market. In
Chapter 3 and 5 the authors, again, apply the Complete Analysis of
Differentiable Games and also some new algorithms, employing the
software wxMaxima 11.04.0, in order to reach a total knowledge of
the two classic duopolies, viewed as complex interactions between
two competitive subjects, in two exemplar asymmetric cases. In
conclusion, readers will find an interesting, original,
sophisticated and surprising volume to read, about an evergreen and
classic economic subject.
This volume contains the proceedings from three conferences: the
PISRS 2011 International Conference on Analysis, Fractal Geometry,
Dynamical Systems and Economics, held November 8-12, 2011 in
Messina, Italy; the AMS Special Session on Fractal Geometry in Pure
and Applied Mathematics, in memory of Benoit Mandelbrot, held
January 4-7, 2012, in Boston, MA; and the AMS Special Session on
Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in
Honolulu, HI. Articles in this volume cover fractal geometry (and
some aspects of dynamical systems) in pure mathematics. Also
included are articles discussing a variety of connections of
fractal geometry with other fields of mathematics, including
probability theory, number theory, geometric measure theory,
partial differential equations, global analysis on non-smooth
spaces, harmonic analysis and spectral geometry. The companion
volume (Contemporary Mathematics, Volume 601) focuses on
applications of fractal geometry and dynamical systems to other
sciences, including physics, engineering, computer science,
economics, and finance.
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