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Voting Paradoxes and How to Deal with Them (Hardcover, 1999 ed.)
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Voting Paradoxes and How to Deal with Them (Hardcover, 1999 ed.)
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Voting paradoxes are unpleasant surprises encountered in voting.
Typically they suggest that something is wrong with the way in
dividual opinions are being expressed or processed in voting. The
outcomes are bizarre, unfair or otherwise implausible, given the
expressed opinions of voters. Voting paradoxes have an important
role in the history of social choice theory. The founding fathers
of the theory, Marquis de Condorcet and Jean-Charles de Borda, were
keenly aware of some of them. Indeed, much of the work of these and
other forerunners of the modern social choice theory dealt with
ways of avoiding paradoxes related to voting. One of the early
paradoxes, viz. that bearing the name of Condorcet, has
subsequently gained such a prominent place in the literature that
it is sometimes called the paradox of voting. One of the aims of
the present work is to show that Condorcet's is but one of many
paradoxes of voting. Some of these are pretty closely interrelated
making it meaningful to classify them. This is the second main aim
of this book. The third objective is to suggest ways of dealing
with paradoxes. Since voting is and has always been an essential
instrument of democratic rule, it is of some in terest to find out
how voting paradoxes are being dealt with by past and present
methods of voting. Of even greater interest is to find ways of
minimizing the probability of occurrence of various paradoxes. By
their very nature some paradoxes are unavoidable."
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