Generic properties of simple Bergson-Samuelson welfare functions

DOI10.1016/0304-4068(80)90006-3zbMath0432.90010OpenAlexW1975663284MaRDI QIDQ1138981

Norman Schofield

Publication date: 1980

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4068(80)90006-3

zbMATH Keywords

coresocial choicevoting gamegeneric propertiescycle settransversality theoryinfinitesimal optima setnon-collegial voting gamesimple Bergson-Samuelson welfare functions

Mathematics Subject Classification ID

Social choice (91B14)

Related Items (15)

Permutation cycles and manipulation of choice functions ⋮ Structural instability of the core ⋮ On the core of voting games ⋮ Singularity theory and core existence in the spatial model ⋮ Smooth social choice ⋮ On the robustness of strategy proof mechanisms ⋮ Coalitions and Catastrophic Climate Change ⋮ Probability and convergence for supra-majority rule with Euclidean preferences ⋮ A ham sandwich theorem for general measures ⋮ Social equilibrium and cycles on compact sets ⋮ Limiting distributions for continuous state Markov voting models ⋮ Classification theorem for smooth social choice on a manifold ⋮ A power rule for social choice ⋮ The general relevance of the impossibility theorem in smooth social choice ⋮ Non-collegial simple games and the nowhere denseness of the set of preference profiles having a core

Cites Work

• Pairwise symmetry conditions for voting equilibria
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• Thresholds in Pareto sets
• Why ethical measures of inequality need interpersonal comparisons
• Intransitivities in multidimensional voting models and some implications for agenda control
• The singularities \(S_ 1^ q\)
• An Impossibility Theorem for Fixed Preferences: A Dictatorial Bergson- Samuelson Welfare Function
• Instability of Simple Dynamic Games
• The Simple Majority Decision Rule
• Group Actions on Spin Manifolds
• On a Class of Equilibrium Conditions for Majority Rule
• An exact sequence in differential topology
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