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We introduce a dynamic mechanism design problem in which the designer wants to offer for sale an item to an agent, and another item to the same agent at some point in the future. The agent's joint distribution of valuations for the two…

Computer Science and Game Theory · Computer Science 2023-05-22 Christos Papadimitriou , George Pierrakos , Christos-Alexandros Psomas , Aviad Rubinstein

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

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

We study revenue optimization pricing algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation. We show that, in the case when both the seller and the buyer…

Computer Science and Game Theory · Computer Science 2018-05-08 Arsenii Vanunts , Alexey Drutsa

This paper studies Markov perfect equilibria in a repeated duopoly model where sellers choose algorithms. An algorithm is a mapping from the competitor's price to own price. Once set, algorithms respond quickly. Customers arrive randomly…

Theoretical Economics · Economics 2022-07-04 Rohit Lamba , Sergey Zhuk

Most recent papers addressing the algorithmic problem of allocating advertisement space for keywords in sponsored search auctions assume that pricing is done via a first-price auction, which does not realistically model the Generalized…

Data Structures and Algorithms · Computer Science 2009-08-21 Yossi Azar , Benjamin Birnbaum , Anna R. Karlin , C. Thach Nguyen

We examine ``tournament'' second-price auctions in which $N$ bidders compete for the right to participate in a second stage and contend against bidder $N+1$. When the first $N$ bidders are committed so that their bids cannot be changed in…

Theoretical Economics · Economics 2024-03-14 Luca Anderlini , GaOn Kim

A monopolistic seller aims to sell an indivisible item to multiple potential buyers. Each buyer's valuation depends on their private type and the item's quality. The seller can observe the quality but it is unknown to buyers. This quality…

Computer Science and Game Theory · Computer Science 2024-11-13 Zhikang Fan , Weiran Shen

Sequential auctions for identical items with unit-demand, private-value buyers are common and often occur periodically without end, as new bidders replace departing ones. We model bidder uncertainty by introducing a probability that a…

Computer Science and Game Theory · Computer Science 2025-10-13 Amir Ban

In many online advertisement (ad) exchanges, ad slots are each sold via a separate second-price auction. This paper considers the bidder's problem of maximizing the value of ads they purchase in these auctions, subject to budget…

Computer Science and Game Theory · Computer Science 2020-03-16 Jonathan Amar , Nicholas Renegar

All-pay auctions, a common mechanism for various human and agent interactions, suffers, like many other mechanisms, from the possibility of players' failure to participate in the auction. We model such failures, and fully characterize…

Computer Science and Game Theory · Computer Science 2017-02-15 Yoad Lewenberg , Omer Lev , Yoram Bachrach , Jeffrey S. Rosenschein

Recent work has addressed the algorithmic problem of allocating advertisement space for keywords in sponsored search auctions so as to maximize revenue, most of which assume that pricing is done via a first-price auction. This does not…

Data Structures and Algorithms · Computer Science 2008-09-12 Yossi Azar , Benjamin Birnbaum , Anna R. Karlin , C. Thach Nguyen

On ad exchange platforms the place for advertisement is sold through different kinds of auctions. However, it is not uncommon the situation where the seller repeatedly encounters only one buyer, thus the posted price auction degenerates…

Computer Science and Game Theory · Computer Science 2019-02-05 Nikita Kalinin

We present a quantum auction protocol using superpositions to represent bids and distributed search to identify the winner(s). Measuring the final quantum state gives the auction outcome while simultaneously destroying the superposition.…

Quantum Physics · Physics 2007-11-26 Tad Hogg , Pavithra Harsha , Kay-Yut Chen

We consider a repeated auction where the buyer's utility for an item depends on the time that elapsed since his last purchase. We present an algorithm to build the optimal bidding policy, and then, because optimal might be impractical, we…

Theoretical Economics · Economics 2023-08-04 Benjamin Heymann , Alexandre Gilotte , Rémi Chan-Renous

We study revenue optimization learning algorithms for repeated second-price auctions with reserve where a seller interacts with multiple strategic bidders each of which holds a fixed private valuation for a good and seeks to maximize his…

Computer Science and Game Theory · Computer Science 2019-06-25 Alexey Drutsa

For selling a single item to agents with independent but non-identically distributed values, the revenue optimal auction is complex. With respect to it, Hartline and Roughgarden (2009) showed that the approximation factor of the…

Computer Science and Game Theory · Computer Science 2016-11-17 Saeed Alaei , Jason Hartline , Rad Niazadeh , Emmanouil Pountourakis , Yang Yuan

A common practice in many auctions is to offer bidders an opportunity to improve their bids, known as a Best and Final Offer (BAFO) stage. This final bid can depend on new information provided about either the asset or the competitors. This…

Computer Science and Game Theory · Computer Science 2021-04-21 Galit Ashkenazi-Golan , Yevgeny Tsodikovich , Yannick Viossat

We study a setting where agents use no-regret learning algorithms to participate in repeated auctions. \citet{kolumbus2022auctions} showed, rather surprisingly, that when bidders participate in second-price auctions using no-regret bidding…

Computer Science and Game Theory · Computer Science 2024-11-15 Gagan Aggarwal , Anupam Gupta , Andres Perlroth , Grigoris Velegkas

This note pursues two primary objectives. First, we analyze the outcomes of an all-pay auction within a store where buyers with and without financial constraints arrive at varying rates, and where buyer types are private information.…

Theoretical Economics · Economics 2024-04-16 Cemil Selcuk