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Social choice theory deals with aggregating the preferences of
multiple individuals regarding several available alternatives, a
situation colloquially known as voting. There are many different
voting rules in use and even more in the literature, owing to the
various considerations such an aggregation method should take into
account. The analysis of voting scenarios becomes particularly
challenging in the presence of strategic voters, that is, voters
that misreport their true preferences in an attempt to obtain a
more favorable outcome. In a world that is tightly connected by the
Internet, where multiple groups with complex incentives make
frequent joint decisions, the interest in strategic voting exceeds
the scope of political science and is a focus of research in
economics, game theory, sociology, mathematics, and computer
science. The book has two parts. The first part asks "are there
voting rules that are truthful?" in the sense that all voters have
an incentive to report their true preferences. The seminal
Gibbard-Satterthwaite theorem excludes the existence of such voting
rules under certain requirements. From this starting point, we
survey both extensions of the theorem and various conditions under
which truthful voting is made possible (such as restricted
preference domains). We also explore the connections with other
problems of mechanism design such as locating a facility that
serves multiple users. In the second part, we ask "what would be
the outcome when voters do vote strategically?" rather than trying
to prevent such behavior. We overview various game-theoretic models
and equilibrium concepts from the literature, demonstrate how they
apply to voting games, and discuss their implications on social
welfare. We conclude with a brief survey of empirical and
experimental findings that could play a key role in future
development of game theoretic voting models.
Too often an interaction among self-interested parties leads to an
outcome that is not in the best interest of any of them. In this
thesis, I look at such interactions as games, so that the loss of
stability and welfare can be measured and studied using the
standard concepts of game theory such as equilibrium and utility. I
study and design mechanisms that alter these games in order to
induce more cooperation, stable outcomes, and higher utility for
the participants.
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