Abstract
We study the design of truthful auction mechanisms for maximizing the seller’s profit. We focus on the case when the auction mechanism does not have any knowledge of bidders’ valuations, especially of their upper bound. For the Single-Item auction, we obtain an “asymptotically” optimal scheme: for any k∈Z + and ε>0, we give a randomized truthful auction that guarantees an expected profit of \(\Omega(\frac{OPT}{\ln OPT \ln\ln OPT \cdots (\ln^{(k)}OPT)^{1+\epsilon}})\), where OPT is the maximum social utility of the auction. Moreover, we show that no truthful auction can guarantee an expected profit of \(\Omega(\frac{OPT}{\ln OPT \ln\ln OPT\cdots \ln^{(k)}OPT})\).
In addition, we extend our results and techniques to Multi-units auction, Unit-Demand auction, and Combinatorial auction.
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References
Blum, A., Hartline, J.D.: Near-Optimal Online Auctions. In: Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms, pp. 1156–1163 (2005)
Blum, A., Kumar, V., Rudra, A., Wu, F.: Online Learning in Online Auctions. In: Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms, pp. 202–204 (2003)
Clarke, E.H.: Multipart Pricing of Public Goods. Public Choice 11, 17–33 (1971)
Dobzinski, S., Nisan, N., Schapira, M.: Truthful Randomized Mechanisms for Combinatorial Auctions. In: Proceedings of the thirty-eighth annual ACM symposium on Theory of computing, pp. 644–652 (2006)
Goldberg, A., Hartline, J.D., Karlin, A., Wright, A., Saks, M.: Competitive auctions. Games and Economic Behavior (submitted, 2002)
Goldberg, A., Hartline, J.D., Wright, A.: Competitive auctions and digital goods. In: Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms, pp. 735–744 (2001)
Groves, T.: Incentives in Teams. Econometrica 41, 617–631 (1973)
Guruswami, V., Hartline, J.D., Karlin, A., Kempe, D., Kenyon, K., McSherry, F.: On Profit Maximizing Envy-free Pricing. In: Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms, pp. 1164–1173 (2005)
Likhodedov, A., Sandholm, T.: Approximating Revenue-Maximizing Combinatorial Auctions. In: Proceedings of the National Conference on Artificial Intelligence (AAAI), pp. 267–274 (2005)
Myrson, R.B.: Optimal auction design. Mathematics of operational research 6, 58–73 (1981)
Ronen, A.: On approximating optimal auctions. In: Proceedings of the 3rd ACM conference on Electronic Commerce, pp. 11–17 (2001)
Ronen, A., Saberi, A.: Optimal auctions are hard. In: Proceedings of the 43rd Annual IEEE Symposium on Foundations of Computer Science, pp. 396–405 (2002)
Vickrey, W.: Counterspeculation, Auctions, and Competitive Sealed Tenders. Journal of Finance 16, 8–37 (1961)
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Lu, P., Teng, SH., Yu, C. (2006). Truthful Auctions with Optimal Profit. In: Spirakis, P., Mavronicolas, M., Kontogiannis, S. (eds) Internet and Network Economics. WINE 2006. Lecture Notes in Computer Science, vol 4286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11944874_4
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DOI: https://doi.org/10.1007/11944874_4
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