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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…

计算机科学与博弈论 · 计算机科学 2012-07-09 Anna Osepayshvili , Michael P. Wellman , Daniel Reeves , Jeffrey K. MacKie-Mason

We consider the computational complexity of computing Bayes-Nash equilibria in first-price auctions, where the bidders' values for the item are drawn from a general (possibly correlated) joint distribution. We show that when the values and…

计算机科学与博弈论 · 计算机科学 2025-06-06 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Charalampos Kokkalis

Traditional methods for computing equilibria in auctions become computationally intractable as auction complexity increases, particularly in multi-item and dynamic auctions. This paper introduces a self-play based reinforcement learning…

综合经济学 · 经济学 2024-10-21 Pranjal Rawat

We consider the problem of computing a (pure) Bayes-Nash equilibrium in the first-price auction with continuous value distributions and discrete bidding space. We prove that when bidders have independent subjective prior beliefs about the…

计算机科学与博弈论 · 计算机科学 2023-03-06 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Philip Lazos , Diogo Poças

Auctions are modeled as Bayesian games with continuous type and action spaces. Determining equilibria in auction games is computationally hard in general and no exact solution theory is known. We introduce an algorithmic framework in which…

计算机科学与博弈论 · 计算机科学 2023-05-10 Martin Bichler , Maximilian Fichtl , Matthias Oberlechner

We study the complexity of computing Bayes-Nash equilibria in single-item first-price auctions. We present the first efficient algorithms for the problem, when the bidders' values for the item are independently drawn from the same…

计算机科学与博弈论 · 计算机科学 2026-03-26 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Charalampos Kokkalis

We present our results on Uniform Price Auctions, one of the standard sealed-bid multi-unit auction formats, for selling multiple identical units of a single good to multi-demand bidders. Contrary to the truthful and economically efficient…

计算机科学与博弈论 · 计算机科学 2013-06-20 Evangelos Markakis , Orestis Telelis

The all-pay auction, a classic competitive model, is widely applied in scenarios such as political elections, sports competitions, and research and development, where all participants pay their bids regardless of winning or losing. However,…

理论经济学 · 经济学 2025-07-24 Yan Liu , Ying Qin , Zihe Wang

We study the computational complexity of computing Bayes-Nash equilibria in first-price auctions with discrete value distributions and discrete bidding space, under general subjective beliefs. It is known that such auctions do not always…

计算机科学与博弈论 · 计算机科学 2024-11-06 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Charalampos Kokkalis

Our paper concerns the computation of Nash equilibria of first-price auctions with correlated values. While there exist several equilibrium computation methods for auctions with independent values, the correlation of the bidders' values…

计算机科学与博弈论 · 计算机科学 2021-08-11 Benjamin Heymann , Panayotis Mertikopoulos

In non-truthful auctions such as first-price and all-pay auctions, the independent strategic behaviors of bidders, with the corresponding Bayes-Nash equilibrium notion, are notoriously difficult to characterize and can cause undesirable…

计算机科学与博弈论 · 计算机科学 2025-10-28 Hu Fu , Tao Lin

Motivated by Carbon Emissions Trading Schemes, Treasury Auctions, Procurement Auctions, and Wholesale Electricity Markets, which all involve the auctioning of homogeneous multiple units, we consider the problem of learning how to bid in…

计算机科学与博弈论 · 计算机科学 2024-11-12 Rigel Galgana , Negin Golrezaei

Simultaneous item auctions are simple procedures for allocating items to bidders with potentially complex preferences over different item sets. In a simultaneous auction, every bidder submits bids on all items simultaneously. The allocation…

计算机科学与博弈论 · 计算机科学 2012-09-24 Michal Feldman , Hu Fu , Nick Gravin , Brendan Lucier

Equilibrium problems in Bayesian auction games can be described as systems of differential equations. Depending on the model assumptions, these equations might be such that we do not have a rigorous mathematical solution theory. The lack of…

计算机科学与博弈论 · 计算机科学 2024-12-18 Martin Bichler , Stephan B. Lunowa , Matthias Oberlechner , Fabian R. Pieroth , Barbara Wohlmuth

We present an algorithm for computing pure-strategy epsilon-perfect Bayesian equilibria in sequential auctions with continuous action and value spaces. Importantly, our algorithm includes a verification phase that computes an upper bound on…

计算机科学与博弈论 · 计算机科学 2025-02-19 Vinzenz Thoma , Vitor Bosshard , Sven Seuken

We present an extensive analysis of the key problem of learning optimal reserve prices for generalized second price auctions. We describe two algorithms for this task: one based on density estimation, and a novel algorithm benefiting from…

机器学习 · 计算机科学 2015-06-10 Mehryar Mohri , Andres Munoz Medina

We resolve the complexity of revenue-optimal deterministic auctions in the unit-demand single-buyer Bayesian setting, i.e., the optimal item pricing problem, when the buyer's values for the items are independent. We show that the problem of…

计算机科学与博弈论 · 计算机科学 2017-02-24 Xi Chen , Ilias Diakonikolas , Dimitris Paparas , Xiaorui Sun , Mihalis Yannakakis

We study a class of manipulations in combinatorial auctions where bidders fundamentally misrepresent what goods they are interested in. Prior work has largely assumed that bidders only submit bids on their bundles of interest, which we call…

计算机科学与博弈论 · 计算机科学 2021-09-13 Vitor Bosshard , Sven Seuken

In today's online advertising markets, it is common for advertisers to set long-term budgets. Correspondingly, advertising platforms adopt budget control methods to ensure that advertisers' payments lie within their budgets. Most budget…

计算机科学与博弈论 · 计算机科学 2024-02-13 Zhaohua Chen , Mingwei Yang , Chang Wang , Jicheng Li , Zheng Cai , Yukun Ren , Zhihua Zhu , Xiaotie Deng

We study the pay-as-bid auction game, a supply function model with discriminatory pricing and asymmetric firms. In this game, strategies are non-decreasing supply functions relating pric to quantity and the exact choice of the strategy…

最优化与控制 · 数学 2025-04-23 Martina Vanelli , Giacomo Como , Fabio Fagnani
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