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05/17/2023
Games on Graphs
The objective of this collaborative textbook is to present the state of ...
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09/30/2022
Tight Inapproximability for Graphical Games
We provide a complete characterization for the computational complexity ...
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09/30/2022
Pure-Circuit: Strong Inapproximability for PPAD
The current state-of-the-art methods for showing inapproximability in PP...
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01/24/2022
Constant Inapproximability for PPA
In the ε-Consensus-Halving problem, we are given n probability measures ...
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12/28/2020
Square-Cut Pizza Sharing is PPA-complete
We study the computational complexity of computing solutions for the squ...
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11/03/2020
The Complexity of Gradient Descent: CLS = PPAD ∩ PLS
We study search problems that can be solved by performing Gradient Desce...
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10/06/2020
A faster algorithm for finding Tarski fixed points
Dang et al. have given an algorithm that can find a Tarski fixed point i...
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02/27/2020
Tree Polymatrix Games are PPAD-hard
We prove that it is PPAD-hard to compute a Nash equilibrium in a tree po...
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01/13/2020
One-Clock Priced Timed Games are PSPACE-hard
The main result of this paper is that computing the value of a one-clock...
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03/07/2019
Computing Exact Solutions of Consensus Halving and the Borsuk-Ulam Theorem
We study the problem of finding an exact solution to the consensus halvi...
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11/09/2018
Unique End of Potential Line
This paper studies the complexity of problems in PPAD ∩ PLS that have un...
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10/02/2018
Approximating the Existential Theory of the Reals
The existential theory of the reals (ETR) consists of existentially quan...
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07/01/2018
An Improved Envy-Free Cake Cutting Protocol for Four Agents
We consider the classic cake-cutting problem of producing envy-free allo...
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04/11/2018
Market Making via Reinforcement Learning
Market making is a fundamental trading problem in which an agent provide...
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04/10/2018
End of Potential Line
We introduce the problem EndOfPotentialLine and the corresponding comple...
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09/26/2017