The complexity of pacing for second-price auctions
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 …
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
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 …
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
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 …
horizon general-sum stochastic games. We focus on the problem of computing NE in such …
Pure-circuit: Strong inapproximability for PPAD
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 …
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 …
equilibria, which are easy to find. In contrast, we prove that, in directed networks, a broad …
Pure-circuit: Tight inapproximability for PPAD
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 …
Generalized-Circuit (ɛ-GCircuit) problem. Rubinstein (2018) showed that there exists a …
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 …
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
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 …
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 …
auctions with discrete value distributions and discrete bidding space, under general …