Abstract
We introduce and study share-averse auctions, a class of auctions with allocation externalities, in which items can be allocated to arbitrarily many bidders, but the valuation of each individual bidder decreases as the items get allocated to more other bidders. For single-item auctions where players have incomplete information about each others’ valuation, we characterize the truthful mechanism that maximizes the auctioneer’s revenue, and analyze it for some interesting cases.
We then move beyond single-item auctions, and analyze single-minded combinatorial auctions. We derive sufficient conditions for a truthful allocation in this setting. We also obtain a \(\sqrt{m}\)-approximation algorithm for maximizing social welfare, which is essentially tight unless P=NP.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Briest, P., Krysta, P., Vöcking, B.: Approximation techniques for utilitarian mechanism design. In: The 37th ACM Symposium on Theory of Computing, pp. 39–48 (2005)
Brocas, I.: Auctions with type dependent and negative externalities: the optimal mechanism, IEPR working paper (November 2007)
Cornes, R., Sandler, T.: The Theory of Externalities, Public Goods, and Club Goods. Cambridge University Press, Cambridge (1996)
Ghosh, A., Mahdian, M.: Externalities in online advertising. In: 17th international conference on World Wide Web (2008)
Gonen, R., Lehmann, D.: Linear programming helps solving large multi-unit combinatorial auctions. In: Electronic Market Design Workshop (2001)
Gonen, R., Lehmann, D.J.: Optimal solutions for multi-unit combinatorial auctions: branch and bound heuristics. In: ACM Conference on Electronic Commerce, pp. 13–20 (2000)
Jackson, M., Nicoló, A.: The strategy-proof provision of public goods under congestion and crowding preferences. Journal of Economic Theory 115(2), 278–308 (2004)
Jehiel, P., Moldovanu, B.: Efficient design with interdependent valuations. Econometrica 69(5), 1237–1259 (2001)
Jehiel, P., Moldovanu, B., Stacchetti, E.: Multidimensional mechanism design for auctions with externalities. Journal of economic theory 85(2), 258–294 (1999)
Kamien, M., Oren, S., Tauman, Y.: Optimal licensing of cost reducing innovation. Journal of Mathematical Economics 21, 483–508 (1992)
Krysta, P.: Greedy approximation via duality for packing, combinatorial auctions and routing. In: Jedrzejowicz, J., Szepietowski, A. (eds.) MFCS 2005. LNCS, vol. 3618, pp. 615–627. Springer, Heidelberg (2005)
Lehmann, D., O’Callaghan, L.I., Shoham, Y.: Truth revelation in approximately efficient combinatorial auctions. In: ACM Conference on Electronic Commerce, pp. 96–102. ACM Press, New York (1999)
Maskin, E., Riley, J.: Optimal multi-unit auction. The economics of missing markets, information and games, 312–335 (1989)
Myerson, R.: Optimal auction design. Mathematics of Operations Research 6, 58–73 (1981)
Scotchmer, S.: Profit maximizing clubs. J. of Public Economics 27, 25–45 (1985)
Smith, V., Crampton, P., Shoham, Y., Steinberg, R. (eds.): Combinatorial Auctions. MIT Press, Cambridge (2006)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Salek, M., Kempe, D. (2008). Auctions for Share-Averse Bidders. In: Papadimitriou, C., Zhang, S. (eds) Internet and Network Economics. WINE 2008. Lecture Notes in Computer Science, vol 5385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92185-1_67
Download citation
DOI: https://doi.org/10.1007/978-3-540-92185-1_67
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-92184-4
Online ISBN: 978-3-540-92185-1
eBook Packages: Computer ScienceComputer Science (R0)