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arXiv · 2107.01048

Shapley-Based Core-Selecting Payment Rules

Vitor Bosshard·Sven Seuken
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Abstract

In this research note, we lay some groundwork for analyzing the manipulability of core-selecting payment rules in combinatorial auctions. In particular, we focus on payment rules based on the bidders' Shapley values. We define a sensitivity metric, and provide analytical results for this metric in LLG, for six different payment vectors used as reference points for minimum-revenue core-selecting payment rules. We furthermore show how this sensitivity affects the derivative of the resulting payment rules.

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Vitor Bosshard, Sven Seuken. 2021-07-02. Shapley-Based Core-Selecting Payment Rules. https://arxiv.org/abs/2107.01048

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