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 \(y,z\in X\setminus \{x^*\}\)
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rappatoni - (no access) - comsoc-characterisation-2017 (1).pdf, p5
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