Leseprobe
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The Theory of Social Choice
Peter C. Fishburn
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Geisteswissenschaften, Kunst, Musik / Pädagogik
Beschreibung
One fundamental premise of democratic theory is that social policy, group choice, or collective action should be based on the preferences of the individuals in the society, group, or collective. Using the tools of formal mathematical analysis, Peter C. Fishburn explores and defines the conditions for social choice and methods for synthesizing individuals' preferences. This study is unique in its emphasis on social choice functions, the general position that individual indifference may not be transitive, and the use of certain mathematics such as linear algebra.
The text is divided into three main parts: social choice between two alternatives, which examines a variety of majority-like functions; simple majority social choice, which focuses on social choice among many alternatives when two-element feasible subset choices are based on simple majority; and a general study of aspects and types of social choice functions for many alternatives.
Originally published in 1973.
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Majority function, Set (mathematics), Probability distribution, Probability, Connected space, Almost surely, Relative interior, Associative property, Sign function, Admissible set, Axiom, Preference relation, Order condition, Recursive definition, Codomain, Union (set theory), Binary relation, Set theory, Abelian group, Total order, Converse implication, Theory, Binary decision, Choice function, Connectedness, Decision rule, Markov process, Bijection, Cyclic permutation, Equivalence class, Summation, Estimation, Corollary, Special case, Utility, Combination, Law of total probability, Suggestion, Weak ordering, Decision-making, Boundary (topology), Condorcet criterion, Equivalence relation, Power set, Preorder, State of affairs (sociology), Social choice theory, Arrow's impossibility theorem, Transitive relation, Subgroup, Universal set, Hypothesis, Duality (optimization), Proportional representation, Ranking (information retrieval), Antisymmetric relation, May's theorem, Permutation, Theorem, Reflexive relation, Group theory, Calculation, Existential quantification, Monotonic function, Coefficient, Asymmetric relation, Preference (economics), Subset, Maxima and minima, Voting