The complexity of pacing for second-price auctions

X Chen, C Kroer, R Kumar - Mathematics of Operations …, 2024 - pubsonline.informs.org
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 …

Complexity of equilibria in first-price auctions under general tie-breaking rules

X Chen, B Peng - Proceedings of the 55th Annual ACM Symposium on …, 2023 - dl.acm.org
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 …

The complexity of infinite-horizon general-sum stochastic games

Y Jin, V Muthukumar, A Sidford - arXiv preprint arXiv:2204.04186, 2022 - arxiv.org
We study the complexity of computing stationary Nash equilibrium (NE) in n-player infinite-
horizon general-sum stochastic games. We focus on the problem of computing NE in such …

Pure-circuit: Strong inapproximability for PPAD

A Deligkas, J Fearnley, A Hollender… - 2022 IEEE 63rd …, 2022 - ieeexplore.ieee.org
The current state-of-the-art methods for showing inapproximability in PPAD arise from the ε-
Generalized-Circuit (ε-GCIRCUIT) problem. Rubinstein (2018) showed that there exists a …

Public goods games in directed networks

C Papadimitriou, B Peng - Proceedings of the 22nd ACM Conference on …, 2021 - dl.acm.org
Public goods games in undirected networks are generally known to have pure Nash
equilibria, which are easy to find. In contrast, we prove that, in directed networks, a broad …

Pure-circuit: Tight inapproximability for PPAD

A Deligkas, J Fearnley, A Hollender… - Journal of the ACM, 2024 - dl.acm.org
The current state-of-the-art methods for showing inapproximability in PPAD arise from the ɛ-
Generalized-Circuit (ɛ-GCircuit) problem. Rubinstein (2018) showed that there exists a …

First Price Auction is 1-1/e2 Efficient

Y Jin, P Lu - Journal of the ACM, 2023 - dl.acm.org
First Price Auction is 1-1/e2 Efficient | Journal of the ACM skip to main content ACM Digital
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Fixp-membership via convex optimization: Games, cakes, and markets

A Filos-Ratsikas, KA Hansen, K Høgh… - SIAM Journal on …, 2023 - SIAM
We introduce a new technique for proving membership of problems in FIXP: the class
capturing the complexity of computing a fixed point of an algebraic circuit. Our technique …

Nash convergence of mean-based learning algorithms in first price auctions

X Deng, X Hu, T Lin, W Zheng - … of the ACM Web Conference 2022, 2022 - dl.acm.org
Understanding the convergence properties of learning dynamics in repeated auctions is a
timely and important question in the area of learning in auctions, with numerous applications …

On the computation of equilibria in discrete first-price auctions

A Filos-Ratsikas, Y Giannakopoulos… - Proceedings of the 25th …, 2024 - dl.acm.org
We study the computational complexity of computing Bayes-Nash equilibria in first-price
auctions with discrete value distributions and discrete bidding space, under general …