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Online auction scenarios, such as bidding searches on advertising platforms, often require bidders to participate repeatedly in auctions for identical or similar items. Most previous studies have only considered the process by which the…

Computer Science and Game Theory · Computer Science 2024-02-28 Yudong Hu , Congying Han , Tiande Guo , Hao Xiao

We study the equilibria of uniform price auctions where many asymmetric bidders have flat demands up to their respective quantity constraints. We present an iterative procedure that systematically finds an equilibrium outcome as well as an…

Theoretical Economics · Economics 2026-04-09 Kiho Yoon

In practice, most auction mechanisms are not strategy-proof, so equilibrium analysis is required to predict bidding behavior. In many auctions, though, an exact equilibrium is not known and one would like to understand whether -- manually…

Computer Science and Game Theory · Computer Science 2024-08-22 Fabian R. Pieroth , Tuomas Sandholm

Classical optimal auction theory assumes that bids reach the seller directly. We study how this picture changes when a revenue-maximizing intermediary controls access to the seller's auction. Motivated by blockchain auctions, online…

Computer Science and Game Theory · Computer Science 2026-05-22 Jingyi Liu , Aviad Rubinstein , Ertem Nusret Tas , S. Matthew Weinberg , Qianfan Zhang

This paper describes a study of agent bidding strategies, assuming combinatorial valuations for complementary and substitutable goods, in three auction environments: sequential auctions, simultaneous auctions, and the Trading Agent…

Computer Science and Game Theory · Computer Science 2012-07-19 Amy Greenwald , Justin Boyan

We study a class of iterative combinatorial auctions which can be viewed as subgradient descent methods for the problem of pricing bundles to balance supply and demand. We provide concrete convergence rates for auctions in this class,…

Computer Science and Game Theory · Computer Science 2016-06-01 Jacob Abernethy , Sébastien Lahaie , Matus Telgarsky

We study a basic auction design problem with online supply. There are two unit-demand bidders and two types of items. The first item type will arrive first for sure, and the second item type may or may not arrive. The auctioneer has to…

Computer Science and Game Theory · Computer Science 2017-07-17 Nikhil R. Devanur , Balasubramanian Sivan , Vasilis Syrgkanis

We introduce a new numerical framework to learn optimal bidding strategies in repeated auctions when the seller uses past bids to optimize her mechanism. Crucially, we do not assume that the bidders know what optimization mechanism is used…

Computer Science and Game Theory · Computer Science 2021-02-09 Thomas Nedelec , Jules Baudet , Vianney Perchet , Noureddine El Karoui

A seller with one unit of a good faces N\geq3 buyers and a single competitor who sells one other identical unit in a second-price auction with a reserve price. Buyers who do not get the seller's good will compete in the competitor's…

Theoretical Economics · Economics 2021-10-26 Kenneth Hendricks , Thomas Wiseman

We study the design of truthful auctions for selling identical items in unlimited supply (e.g., digital goods) to n unit demand buyers. This classic problem stands out from profit-maximizing auction design literature as it requires no…

Computer Science and Game Theory · Computer Science 2014-01-07 Ning Chen , Nick Gravin , Pinyan Lu

We derive optimal strategies for a bidding agent that participates in multiple, simultaneous second-price auctions with perfect substitutes. We prove that, if everyone else bids locally in a single auction, the global bidder should always…

Computer Science and Game Theory · Computer Science 2014-01-16 Enrico H. Gerding , Rajdeep Kumar Dash , Andrew Byde , Nicholas Robert Jennings

A single unit of a good is sold to one of two bidders. Each bidder has either a high prior valuation or a low prior valuation for the good. Their prior valuations are independently and identically distributed. Each bidder may observe an…

Theoretical Economics · Economics 2022-05-10 Wanchang Zhang

In this paper, we introduce a novel, non-recursive, maximal matching algorithm for double auctions, which aims to maximize the amount of commodities to be traded. It differs from the usual equilibrium matching, which clears a market at the…

Computer Science and Game Theory · Computer Science 2013-04-12 Jinzhong Niu , Simon Parsons

Recent advances in machine learning have spurred significant interest in learning-augmented algorithms, particularly for online optimization. A growing body of work has studied online bidding in this framework, aiming to characterize the…

Data Structures and Algorithms · Computer Science 2026-05-11 Changyeol Lee , Dahoon Lee , Jongseo Lee , Yongho Shin , Changki Yun

Simultaneous ascending auctions present agents with the exposure problem: bidding to acquire a bundle risks the possibility of obtaining an undesired subset of the goods. Auction theory provides little guidance for dealing with this…

Computer Science and Game Theory · Computer Science 2012-07-09 Anna Osepayshvili , Michael P. Wellman , Daniel Reeves , Jeffrey K. MacKie-Mason

We consider an online ad network problem in which an ad exchange auctions ad slots and intermediaries called demand side platforms (DSPs) buy these ad slots for their clients (advertisers). An intermediary represents multiple advertisers.…

Computer Science and Game Theory · Computer Science 2019-10-07 Rahul Meshram , Kesav Kaza

We consider the question of whether collusion among bidders (a "bidding ring") can be supported in equilibrium of unrepeated first-price auctions. Unlike previous work on the topic such as that by McAfee and McMillan [1992] and Marshall and…

Computer Science and Game Theory · Computer Science 2016-08-31 Kevin Leyton-Brown , Moshe Tennenholtz , Navin Bhat , Yoav Shoham

We study the problem of selling identical goods to n unit-demand bidders in a setting in which the total supply of goods is unknown to the mechanism. Items arrive dynamically, and the seller must make the allocation and payment decisions…

Computer Science and Game Theory · Computer Science 2009-05-22 Moshe Babaioff , Liad Blumrosen , Aaron L. Roth

We investigate approximately optimal mechanisms in settings where bidders' utility functions are non-linear; specifically, convex, with respect to payments (such settings arise, for instance, in procurement auctions for energy). We provide…

Computer Science and Game Theory · Computer Science 2017-02-23 Amy Greenwald , Takehiro Oyakawa , Vasilis Syrgkanis

Auction design for the modern advertising market has gained significant prominence in the field of game theory. With the recent rise of auto-bidding tools, an increasing number of advertisers in the market are utilizing these tools for…

Computer Science and Game Theory · Computer Science 2024-12-31 Changfeng Xu , Chao Peng , Chenyang Xu , Zhengfeng Yang