Question
F is positively responsive if [...] for any alternative $$x^*$$ and any two distinct 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 $$y,z\in X\setminus \{x^*\}$$
$$x^*\in F(R)$$ implies $$\{x^*\}=F(R')$$

Question
F is positively responsive if [...] for any alternative $$x^*$$ and any two distinct 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 $$y,z\in X\setminus \{x^*\}$$
?

Question
F is positively responsive if [...] for any alternative $$x^*$$ and any two distinct 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 $$y,z\in X\setminus \{x^*\}$$
$$x^*\in F(R)$$ implies $$\{x^*\}=F(R')$$
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F is positively responsive if $$x^*\in F(R)$$ implies $$\{x^*\}=F(R')$$ for any alternative $$x^*$$ and any two distinct 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\se

#### Original toplevel document (pdf)

owner: rappatoni - (no access) - comsoc-characterisation-2017 (1).pdf, p5

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