Tags
#computation #social-choice #voting-rules
Question
F is called strongly monotonic if
$$x^*= F(R)$$ implies $$x^*= F(R')$$ for any alternative x* and any two profiles R and R' with $$N^R_{x^*\succ y}\subseteq N^{R'}_{x^*\succ y}$$ for all $$y \in X\setminus\{x^*\}$$

Tags
#computation #social-choice #voting-rules
Question
F is called strongly monotonic if
?

Tags
#computation #social-choice #voting-rules
Question
F is called strongly monotonic if
$$x^*= F(R)$$ implies $$x^*= F(R')$$ for any alternative x* and any two profiles R and R' with $$N^R_{x^*\succ y}\subseteq N^{R'}_{x^*\succ y}$$ for all $$y \in X\setminus\{x^*\}$$
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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 $$y,z\in X\setminus\{x^*\}$$

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owner: rappatoni - (no access) - comsoc-impossibilities-2017 (1).pdf, p14

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