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- New Complexity Results about Nash Equilibria🔍
- Smooth Nash Equilibria🔍
- The Complexity of Computing Equilibria🔍
- The Complexity of Computing a Nash Equilibrium🔍
- The Complexity of Pure Nash Equilibria🔍
- Computing Nash Equilibria🔍
Algorithms and Complexity for Computing Nash Equilibria in ...
Algorithms and Complexity for Computing Nash Equilibria in ... - arXiv
Title:Algorithms and Complexity for Computing Nash Equilibria in Adversarial Team Games ... Abstract:Adversarial team games model multiplayer ...
Algorithms and Complexity for Computing Nash Equilibria in ...
Abstract. Adversarial team games model multiplayer strategic interactions in which a team of identically-interested players is competing against ...
Algorithms and Complexity for Computing Nash Equilibria in ... - arXiv
In the special case of two-player zero-sum games (von Neumann and Morgenstern, 2007), computing a Nash equilibrium is known to be equivalent to ...
Algorithms and Complexity for Computing Nash Equilibria in
What is the complexity of computing Nash equilibria in adversarial team games? 46. 1.1 Our Contributions. 47. Our primary contribution is to establish that ...
(PDF) Algorithms and Complexity for Computing Nash Equilibria in ...
In this paper, we settle this question by showing that computing a Nash equilibrium in adversarial team games belongs to the class continuous ...
Algorithms and Complexity for Computing Nash Equilibria in ...
Efficient algorithms computing a Nash equilibrium have been successfully applied to large zero- sum two-player extensive-form games (e.g., poker). However, in ...
New Complexity Results about Nash Equilibria
... algorithm) [45]. More recent algorithms for computing Nash equilibria have focused on guessing which of the players' pure strategies receive positive ...
Smooth Nash Equilibria: Algorithms and Complexity - DROPS
Abstract. A fundamental shortcoming of the concept of Nash equilibrium is its computational intractability: approximating Nash equilibria in normal-form ...
The Complexity of Computing Equilibria - ScienceDirect.com
Nash proved in 1950 that any normal form game has an equilibrium. More than five decades later, it was shown that the computational task of finding such an ...
The Complexity of Computing a Nash Equilibrium - People
Traditionally, com- putational problems fall into two classes: those that have a polynomial-time algorithm, and those that are NP-hard. However, the concept of ...
Lecture: Complexity of Finding a Nash Equilibrium
For us the best way to think about computational complexity is that it is about search problems. The two most important classes of search problems are P and NP.
The Complexity of Pure Nash Equilibria - Kunal Talwar
We outline an algorithm for computing an -approximate. Nash equilibrium in any congestion game. With some fore- sight, we set δ = 4mK. (where K is an upper ...
The Complexity of Pure Nash Equilibria - Microsoft
We outline an algorithm for computing an -approximate. Nash equilibrium in any congestion game. With some fore- sight, we set δ = 4mK. (where K is an upper ...
Smooth Nash Equilibria: Algorithms and Complexity
A fundamental shortcoming of the concept of Nash equilibrium is its computational intractability: approximating Nash equilibria in ...
Computing Nash Equilibria: Approximation and Smoothed Complexity
Abstract: We advance significantly beyond the recent progress on the algorithmic complexity of Nash equilibria by solving two major open problems in the ...
The Complexity of Computing a Nash Equilibrium | SIAM Journal on ...
Many algorithms have since been proposed for finding Nash equilibria, but none known to run in polynomial time. In 1991 the complexity class PPAD (polynomial ...
The Complexity of Computing a Nash Equilibrium
In this paper we show that the problem of computing Nash equilibria in games with 4 players is indeed PPAD-complete. Thus, a polynomial-time algorithm would ...
Smooth Nash Equilibria: Algorithms and Complexity - DROPS
These results stand in contrast to the optimal algorithm for computing ϵ-approximate Nash equilibria, which cannot run in faster than ...
The Complexity of Finding Nash Equilibria (Chapter 2)
The problem is essentially combinatorial, and in the case of two players it can be solved by a pivoting technique called the Lemke–Howson algorithm, which ...
The structure and complexity of Nash equilibria for a selfish routing ...
Our work provides a comprehensive collection of efficient algorithms, hardness results, and structural results for these algorithmic problems. Our results span ...