What is a game? Classically, a game is perceived as something
played by human beings. Its mathematical analysis is
human-centered, explores the structures of particular games,
economic or social environments and tries to model supposedly
'rational' human behavior in search of appropriate 'winning
strategies'. This point of view places game theory into a very
special scientific corner where mathematics, economics and
psychology overlap and mingle.This book takes a novel approach to
the subject. Its focus is on mathematical models that apply to game
theory in particular but exhibit a universal character and thus
extend the scope of game theory considerably.This textbook
addresses anyone interested in a general game-theoretic view of the
world. The reader should have mathematical knowledge at the level
of a first course in real analysis and linear algebra. However,
possibly more specialized aspects are further elaborated and
pointers to relevant supplementary literature are given. Moreover,
many examples invite the reader to participate 'actively' when
going through the material. The scope of the book can be covered in
one course on Mathematical Game Theory at advanced undergraduate or
graduate level.
General
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