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We study a seller who sells a single good to multiple bidders with uncertainty over the joint distribution of bidders' valuations, as well as bidders' higher-order beliefs about their opponents. The seller only knows the (possibly…

理论经济学 · 经济学 2022-02-16 Ethan Che

Most of the economic reports forecast that almost half of the worldwide market value unlocked by AI over the next decade (up to 6 trillion USD per year) will be in marketing&sales. In particular, AI will enable the optimization of more and…

计算机科学与博弈论 · 计算机科学 2022-01-31 Matteo Castiglioni , Diodato Ferraioli , Nicola Gatti , Alberto Marchesi , Giulia Romano

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

We are interested in mechanisms that maximize social welfare. In [1] this problem was studied for multi-unit auctions with unit demand bidders and for the public project problem, and in each case social welfare undominated mechanisms in the…

计算机科学与博弈论 · 计算机科学 2008-10-20 Krzysztof R. Apt , Vangelis Markakis

In this paper, we study sequential auctions with two budget constrained bidders and any number of identical items. All prior results on such auctions consider only two items. We construct a canonical outcome of the auction that is the only…

计算机科学与博弈论 · 计算机科学 2012-09-11 Zhiyi Huang , Nikhil R. Devanur , David Malec

We study combinatorial auctions where each item is sold separately but simultaneously via a second price auction. We ask whether it is possible to efficiently compute in this game a pure Nash equilibrium with social welfare close to the…

计算机科学与博弈论 · 计算机科学 2015-06-10 Shahar Dobzinski , Hu Fu , Robert Kleinberg

This paper investigates the problem of proportionally fair double sided energy auction involving buying and selling agents. The grid is assumed to be operating under islanded mode. A distributed auction algorithm that can be implemented by…

计算机科学与博弈论 · 计算机科学 2016-05-24 M. Nazif Faqiry , Sanjoy Das

In programmatic advertising, ad slots are usually sold using second-price (SP) auctions in real-time. The highest bidding advertiser wins but pays only the second-highest bid (known as the winning price). In SP, for a single item, the…

机器学习 · 计算机科学 2020-01-22 Aritra Ghosh , Saayan Mitra , Somdeb Sarkhel , Jason Xie , Gang Wu , Viswanathan Swaminathan

We study the Bayesian coarse correlated equilibrium (BCCE) of continuous and discretised first-price and all-pay auctions under the standard symmetric independent private-values model. Our study is motivated by the question of how the…

计算机科学与博弈论 · 计算机科学 2024-11-19 Mete Şeref Ahunbay , Martin Bichler

We consider a general class of Bayesian Games where each players utility depends on his type (possibly multidimensional) and on the strategy profile and where players' types are distributed independently. We show that if their full…

计算机科学与博弈论 · 计算机科学 2012-03-26 Vasilis Syrgkanis

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

Budget constraints are ubiquitous in online advertisement auctions. To manage these constraints and smooth out the expenditure across auctions, the bidders (or the platform on behalf of them) often employ pacing: each bidder is assigned a…

计算机科学与博弈论 · 计算机科学 2023-02-07 Xi Chen , Christian Kroer , Rachitesh Kumar

We study the complexity of finding an approximate (pure) Bayesian Nash equilibrium in a first-price auction with common priors when the tie-breaking rule is part of the input. We show that the problem is PPAD-complete even when the…

计算机科学与博弈论 · 计算机科学 2023-03-30 Xi Chen , Binghui Peng

We consider the bilateral trade problem, in which two agents trade a single indivisible item. It is known that the only dominant-strategy truthful mechanism is the fixed-price mechanism: given commonly known distributions of the buyer's…

计算机科学与博弈论 · 计算机科学 2021-12-21 Zi Yang Kang , Francisco Pernice , Jan Vondrák

We introduce the Funding Game, in which $m$ identical resources are to be allocated among $n$ selfish agents. Each agent requests a number of resources $x_i$ and reports a valuation $\tilde{v}_i(x_i)$, which verifiably {\em lower}-bounds…

计算机科学与博弈论 · 计算机科学 2012-11-16 Amotz Bar-Noy , Yi Gai , Matthew P. Johnson , Bhaskar Krishnamachari , George Rabanca

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 study the efficiency guarantees in the simple auction environment where the auctioneer has one unit of divisible good to be distributed among a number of budget constrained agents. With budget constraints, the social welfare cannot be…

计算机科学与博弈论 · 计算机科学 2015-02-16 Pinyan Lu , Tao Xiao

Bidding in simultaneous auctions is challenging because an agent's value for a good in one auction may depend on the uncertain outcome of other auctions: the so-called exposure problem. Given the gap in understanding of general simultaneous…

计算机科学与博弈论 · 计算机科学 2012-10-19 Michael P. Wellman , Eric Sodomka , Amy Greenwald

Classic results show that even an arbitrarily small correlation across bidders' information can enable full surplus extraction in auctions and related mechanism design settings. Motivated by this fragility, we study the information…

计算机科学与博弈论 · 计算机科学 2026-04-28 Boyu Liu , Wei Tang , Zihe Wang , Shuo Zhang

In this paper, we investigate the computation of second-price pacing equilibria (SPPEs), a foundational model in online advertising auctions. We present a polynomial-time algorithm for computing exact SPPEs in instances with a constant…

计算机科学与博弈论 · 计算机科学 2026-05-12 Yiyang Huang , Yonglei Yan , Zihe Wang , Zhengyang Liu