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The theory of social choice deals with both the processes and
results of col lective decision making. In this book, we explore
some issues in the theory of social choice and mechanism design. We
examine the premises of this theory, the axiomatic approach, and
the mechanism design approach. The main questions are what is
collective interest, how is it related to individuals' interests,
how should one design social interactions, laws, and in stitutions?
These questions are not new. Philosophers, social scientists have
indeed pondered upon them for years. And, in fact, the
organizational struc tures of many social institutions -courts,
parliaments, committees and reg ulatory boards -often lack a sound
theoretical base. This is not surprising, as it is, indeed,
difficult to provide for a comprehensive formalization of the
activities of such organizations. Nevertheless, there has been a
definite trend towards providing clear and unambiguous rules for
collective decision mak ing. These very rules constitute the body
of social choice theory and its main object. The basic problem of
social choice We explain here more precisely what a problem of
social choice is, what approaches might be used to tackle it, and
what kind of solutions it leads to. We introduce a few basic
notions in preliminarily fashion and, in doing so, we stress both
motivations and explanations."
Theory of social choice mechanisms is a comparatively new theory. The first results were obtained as early as the beginning of the seventies. The book contains the most important results of the theory. In two main topics the book describes what mechanisms allow equilibrium solutions at any agents` preference profiles, and what outcomes can be implemented. The answer depends on the equilibrium concept. Furthermore the four equilibrium concepts Nash equilibrium, strong Nash equilibrium, equilibrium in dominant strategies, and the core were described in detail.
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