English

Strategic Bidding in Knapsack Auctions

Computer Science and Game Theory 2024-05-02 v3 Theoretical Economics

Abstract

This paper examines knapsack auctions as a method to solve the knapsack problem with incomplete information, where object values are private and sizes are public. We analyze three auction types-uniform price (UP), discriminatory price (DP), and generalized second price (GSP)-to determine efficient resource allocation in these settings. Using a Greedy algorithm for allocating objects, we analyze bidding behavior, revenue and efficiency of these three auctions using theory, lab experiments, and AI-enriched simulations. Our results suggest that the uniform-price auction has the highest level of truthful bidding and efficiency while the discriminatory price and the generalized second-price auctions are superior in terms of revenue generation. This study not only deepens the understanding of auction-based approaches to NP-hard problems but also provides practical insights for market design.

Keywords

Cite

@article{arxiv.2403.07928,
  title  = {Strategic Bidding in Knapsack Auctions},
  author = {Peyman Khezr and Vijay Mohan and Lionel Page},
  journal= {arXiv preprint arXiv:2403.07928},
  year   = {2024}
}
R2 v1 2026-06-28T15:17:43.846Z