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A stability property in social choice theory
Authors:Donald E Campbell  Jerry S Kelly  Shaofang Qi
Institution:1. Department of Economics and The Program in Public Policy, The College of William and Mary, Williamsburg, VA, USA;2. Department of Economics, Syracuse University, Syracuse, NY, USA;3. School of Business and Economics Humboldt University Berlin, Berlin, Germany
Abstract:A social choice function g is stable if whenever an alternative x is selected at profile u and then profile urn:x-wiley:17427363:media:ijet12141:ijet12141-math-0001 is constructed from u by only switching x with yfor one individual i who has y just below x at u, then rule g selects either x or y at urn:x-wiley:17427363:media:ijet12141:ijet12141-math-0002 and not some third alternative. Stability is strictly weaker than strategy‐proofness but strong enough to establish two kinds of impossibility theorems.
Keywords:stability  Pareto  dictatorship  tops‐only  monotonicity  plurality  Condorcet  maximin  Borda
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