What is a refinement of a partial order in the context of social choice theory?
Answer
Let \(\mathcal{P}\)( X ) be the class of partial orders on the set of alternatives X . The linear order ( \(\succ^l\) ) ∈ \(\mathcal{L}\)( X ) refines the partial order (\(\succ^p\)) ∈ \(\mathcal{P}\) ( X ) if (\(\succ^l\)) ⊇ (\(\succ^p\)).
Question
What is a refinement of a partial order in the context of social choice theory?
Answer
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Question
What is a refinement of a partial order in the context of social choice theory?
Answer
Let \(\mathcal{P}\)( X ) be the class of partial orders on the set of alternatives X . The linear order ( \(\succ^l\) ) ∈ \(\mathcal{L}\)( X ) refines the partial order (\(\succ^p\)) ∈ \(\mathcal{P}\) ( X ) if (\(\succ^l\)) ⊇ (\(\succ^p\)).
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