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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. Hervé 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.
List of contents
Foreword Amartya Sen; Acknowledgements; Introduction; Overview; Part I. Welfarism: 1. Egalitarianism versus utilitarianism; 2. Social welfare orderings; 3. Axiomatic bargaining; 4. Cost-sharing schemes and the core; 5. Values of cooperative games; Part III. Public decision mechanisms: 6. Equal versus proportional sharing; 7. Regulated monopoly; 8. Strategyproof mechanisms; 9. Majority voting and scoring methods; 10. Strategyproofness and core stability; 11. Aggregation of preferences; Bibliography; Indexes.
Summary
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.
