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Rationalizing Path-Independent Choice Rules
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Path independence is arguably one of the most important choice rule properties in economic theory. We show that a choice rule is path independent if and only if it is rationalizable by a utility function satisfying ordinal concavity, a concept closely related to concavity notions in discrete mathematics. We also provide a rationalization result for choice rules that satisfy path independence and the law of aggregate demand.
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Achieving Balanced Representation in School Choice with Diversity Goals
A school can enforce multiple diversity quotas while maximizing the minimum admission share of every type-combination group, and the paper gives a claimed-unique choice function and flow algorithms for it.
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