Equivalent Choice Functions and Stable Mechanisms

• Tác giả: Jan Christoph Schlegel
• Ngôn ngữ: eng
• Ký hiệu phân loại: 302.13 Social choice
• Thông tin xuất bản: 2018
• Bộ sưu tập: Báo, Tạp chí
• ID: 162496

Tóm tắt

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.