Hardness of approximation between P and NP 1st Edition by Aviad Rubinstein 1947487213 9781947487215

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Product details:

ISBN 10: 1947487213 

ISBN 13: 9781947487215

Author: Aviad Rubinstein 

Since Nash’s original paper in 1951, it has found countless applications in modeling strategic behavior of traders in markets, (human) drivers and (electronic) routers in congested networks, nations in nuclear disarmament negotiations, and more. A decade ago, the relevance of this solution concept was called into question by computer scientists, who proved (under appropriate complexity assumptions) that computing a Nash equilibrium is an intractable problem. And if centralized, specially designed algorithms cannot find Nash equilibria, why should we expect distributed, selfish agents to converge to one? The remaining hope was that at least approximate Nash equilibria can be efficiently computed.

Hardness of approximation between P and NP 1st table of contents: 

PART I. OVERVIEW
1. The Frontier of Intractability
2. Preliminaries
PART II. COMMUNICATION COMPLEXITY
3. Communication Complexity of Approximate Nash Equilibrium
4. Brouwer’s Fixed Point
PART III. PPAD
5. PPAD-Hardness of Approximation
6. The Generalized Circuit Problem
7. Many-Player Games
8. Bayesian Nash Equilibrium
9. Market Equilibrium
10. CourseMatch
PART IV. QUASI-POLYNOMIAL TIME
11. Birthday Repetition
12. Densest k-Subgraph
13. Community Detection
14. VC and Littlestone’s Dimensions
15. Signaling
PART V. APPROXIMATE NASH EQUILIBRIUM
16. 2-Player Approximate Nash Equilibrium

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Tags: Hardness, approximation, Aviad Rubinstein, applications