Events2Join

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 ...