2024-03-15T17:09:05+08:00

經濟學系研討會: Discrete Pricing in Multi-object Auctions

講者: 周愚教授, 副教授, 名古屋大學

日期:2024年3月20日 (星期三)

時間:14:00 – 15:15

地點: E21B-G002

內容: We study the auction model of selling multiple heterogeneous objects in which (i) unit demand agents have utility functions accommodating wealth effects and (ii) prices can only be discretely adjusted. The minimum price equilibrium (MPE), a natural generalization of the Vickrey allocation to settings without assuming quasi-linearity, plays a central role in designing efficient and incentive-compatible auctions. Nevertheless, discrete prices do not always support the MPEs. We instead propose an efficient equilibrium notion, tight equilibrium, and calculate the upper and lower deviation bounds between any tight equilibrium price and the (unique) MPE price. We also develop a descending-price auction that finds a tight equilibrium in finitely many steps. We further introduce a new notion of incentive compatibility, compensating strategy-proofness, to measure the non-manipulability of our proposed auction in an approximate sense.