2001,
Cambridge: Harvard University Press
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"Chaotic
Elections; A Mathematician Looks at Voting"
Donald G. Saari
2001, American Mathematical Society
ISBN 0-8218-2847-9
This expository book
shows how to identify and
characterize
a disturbingly large number of paradoxical situations the arise from
the
choice of a voting procedure. Rather than being able to dismiss
them
as anomalies, the likelihood of a dubious election result is
surprisingly
large. Postive results are obtained
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"Decisions
and Elections - Explaining the Unexpected"
Donald G. Saari
2001, Cambridge University Press
ISBN #: 0-521-80816-2
It
is not
uncommon to be frustrated by a decision
--
whether in elections, law, economics, engineering, management,
and
so forth. Is this due to bad data, bad colleagues, or is there
something
deeper? Kenneth Arrow's famed theorem suggests it is a problem we
have
to accept; his theorem has been interpreted as stating that "No
decision
procedure is fair." This seminal result has formed a barrier in
searching
for positive conclusions. In this book, this obsticale is
removed;
as shown, Arrow's Theorem has a radically different and benign
interpretation.
As shown, the new explanation for Arrow's result holds for a
surprisingly
large number of other situations from several areas. Also,
by knowing why Arrow's Theorem arises, positive results can be derived.
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"Conflict
and Governance"
Amihai Glazer and Kai Konradi
Amihai Glazer anolutions appear. The book providesan
overview
of existing literature, applies the theory of conflict to new
situations,
and gives foundations for future work. It should interest both
researchers
and students studying political economy, public choice, international
relations,
and comparative politics.
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