\(x^*= F(R)\) implies \(x^*= F(R')\) for any alternative x* and any two profiles R and R' with \(N^R_{x^*\succ y}\subseteq N^{R'}_{x^*\succ y}\) for all \(y \in X\setminus\{x^*\}\)
Tags
#computation #social-choice #voting-rules
Question
F is called strongly monotonic if
Answer
?
Tags
#computation #social-choice #voting-rules
Question
F is called strongly monotonic if
Answer
\(x^*= F(R)\) implies \(x^*= F(R')\) for any alternative x* and any two profiles R and R' with \(N^R_{x^*\succ y}\subseteq N^{R'}_{x^*\succ y}\) for all \(y \in X\setminus\{x^*\}\)
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Parent (intermediate) annotation
Open it F is called weakly monotonic if \(x^*= F(R)\) implies \(x^*= F(R')\) for any alternative x* and any two profiles R and R' with \(N^R_{x^*\succ y}\subseteq N^{R'}_{x^*\succ y}\) and \(N^R_{y\succ z}= N^{R'}_{y\succ z}\) for all \(y,z\in X\setminus\{x^*\}\)
Original toplevel document (pdf)
owner: rappatoni - (no access) - comsoc-impossibilities-2017 (1).pdf, p14
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