Abstract
We study the extent to which simple auctions can simultaneously achieve good revenue and efficiency guarantees in single-item settings. Motivated by the optimality of the second price auction with monopoly reserves when the bidders’ values are drawn i.i.d. from regular distributions [12], and its approximate optimality when they are drawn from independent regular distributions [11], we focus our attention to the second price auction with general (not necessarily monopoly) reserve prices, arguably one of the simplest and most intuitive auction formats. As our main result, we show that for a carefully chosen set of reserve prices this auction guarantees at least 20% of both the optimal welfare and the optimal revenue, when the bidders’ values are distributed according to independent, not necessarily identical, regular distributions. We also prove a similar guarantee, when the values are drawn i.i.d. from a—possibly irregular—distribution.
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References
Abhishek, V., Hajek, B.E.: Efficiency loss in revenue optimal auctions. In: CDC, pp. 1082–1087 (2010)
Aggarwal, G., Goel, G., Mehta, A.: Efficiency of (revenue-)optimal mechanisms. In: ACM Conference on Electronic Commerce, pp. 235–242 (2009)
Alaei, S.: Bayesian combinatorial auctions: Expanding single buyer mechanisms to many buyers. In: FOCS (2011)
Bulow, J., Klemperer, P.: Auctions versus negotiations. American Economic Review 86(1), 180–194 (1996)
Cai, Y., Daskalakis, C.: Extreme-value theorems for optimal multidimensional pricing. In: FOCS (2011)
Chawla, S., Hartline, J.D., Malec, D.L., Sivan, B.: Multi-parameter mechanism design and sequential posted pricing. In: STOC, pp. 311–320 (2010)
Dhangwatnotai, P., Roughgarden, T., Yan, Q.: Revenue maximization with a single sample. In: ACM Conference on Electronic Commerce, pp. 129–138 (2010)
Diakonikolas, I., Papadimitriou, C., Pierrakos, G., Singer, Y.: Complexity of efficiency-revenue trade-offs in bayesian auctions
Dughmi, S., Roughgarden, T., Sundararajan, M.: Revenue submodularity. In: ACM Conference on Electronic Commerce, pp. 243–252 (2009)
Hartline, J.: Lectures on approximation in mechanism design. Lecture notes. Northwestern University (2010)
Hartline, J.D., Roughgarden, T.: Simple versus optimal mechanisms. In: ACM Conference on Electronic Commerce, pp. 225–234 (2009)
Myerson, R.B.: Optimal auction design. Mathematics of Operations Research 6, 58–73 (1981)
Myerson, R.B., Satterthwaite, M.A.: Efficient mechanisms for bilateral trading. Journal of Economic Theory 29(2), 265–281 (1983)
Neeman, Z.: The effectiveness of english auctions. Games and Economic Behavior 43(2), 214–238 (2003)
Samuel-Cahn, E.: Comparison of threshold stop rules and maximum for independent nonnegative random variables. The Annals of Probability 12(4), 1213–1216 (1984)
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Daskalakis, C., Pierrakos, G. (2011). Simple, Optimal and Efficient Auctions. In: Chen, N., Elkind, E., Koutsoupias, E. (eds) Internet and Network Economics. WINE 2011. Lecture Notes in Computer Science, vol 7090. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25510-6_10
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DOI: https://doi.org/10.1007/978-3-642-25510-6_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25509-0
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