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Axioms of Cooperative Decision Making provides a unified and
comprehensive study of welfarism, cooperative games, public
decision making, and voting and social choice theory - technically
heterogeneous subjects that are linked by common axioms. Herve
Moulin studies these areas from an axiomatic perspective. Every
axiom conveys a certain ethical principle (e.g. 'one man one vote',
or 'to each according to his contribution'). Axiomatic theory
examines the compatibility of various combinations of axioms. The
book describes recent successes of this method. It gives many
examples of the axiomatic approach, ranging from the construction
of numerical indices for measuring inequality, to the pricing of a
regulated monopoly, to the comparison of various voting rules. The
book will be useful to mathematical modellers, especially those
interested in economics and political science.
Problems of fair division, equitable cost-sharing, division of a joint benefit, or the choice of a truly democratic voting rule are familiar subjects of dispute in technologically advanced democracies. This book provides a comprehensive and unified presentation of these technically heterogeneous subjects that are linked by common axioms.
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