Upload

Loading icon Loading...

This video is unavailable.

Nash Bargaining via Flexible Budget Markets

Sign in to YouTube

Sign in with your Google Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to add GoogleTechTalks's video to your playlist.

Sign in to YouTube

Sign in with your Google Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to like GoogleTechTalks's video.

Sign in to YouTube

Sign in with your Google Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to dislike GoogleTechTalks's video.

Loading icon Loading...

Loading icon Loading...

Loading icon Loading...

Ratings have been disabled for this video.
Rating is available when the video has been rented.
This feature is not available right now. Please try again later.

Uploaded on Sep 16, 2008

Google Tech Talks
September 12, 2008

ABSTRACT

In his seminal 1950 paper, John Nash defined the bargaining problem; the ensuing theory of bargaining lies today at the heart of game theory. In this work, we initiate an algorithmic study of Nash bargaining problems.

We consider a class of Nash bargaining problems whose solution can be stated as a convex program. For these problems, we show that there corresponds a market whose equilibrium allocations yield the solution to the convex program and hence the bargaining problem. For several of these markets, we give combinatorial, polynomial time algorithms, using the primal-dual paradigm.

Over the years, a fascinating theory has started forming around a convex program given by Eisenberg and Gale in 1959. Besides market equilibria, this theory touches on such disparate topics as TCP congestion control and efficient solvability of nonlinear programs by combinatorial means. Our work shows that the Nash bargaining problem fits harmoniously in this collage of ideas.

Speaker: Vijay V. Vazirani
Vijay Vazirani got his Bachelor's degree in Computer Science from MIT in 1979 and his Ph.D. from the University of California at Berkeley in 1983. His research has spanned a broad range of themes within the design of efficient algorithms - combinatorial optimization, approximation algorithms, randomized algorithms, parallel algorithms, and most recently algorithmic issues in game theory and mathematical economics. He has also worked in complexity theory, cryptography and information theory.

In 2001 he published what is widely regarded as the definitive book on Approximation Algorithms. This book has been translated into Japanese, Polish and French. Last year, he co-edited a comprehensive volume on Algorithmic Game Theory. He is a Fellow of the ACM.

Loading icon Loading...

Loading...
Working...
to add this to Watch Later

Add to