Equivalent Choice Functions and Stable Mechanisms

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Date

26 décembre 2018

Type de document
Périmètre
Identifiant
  • 1812.10326
Collection

arXiv

Organisation

Cornell University




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Jan Christoph Schlegel, « Equivalent Choice Functions and Stable Mechanisms », arXiv - économie


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We study conditions for the existence of stable and group-strategy-proof mechanisms in a many-to-one matching model with contracts if students' preferences are monotone in contract terms. We show that "equivalence", properly defined, to a choice profile under which contracts are substitutes and the law of aggregate holds is a necessary and sufficient condition for the existence of a stable and group-strategy-proof mechanism. Our result can be interpreted as a (weak) embedding result for choice functions under which contracts are observable substitutes and the observable law of aggregate demand holds.

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