The Complexity of the Homotopy Method, Equilibrium Selection, and Lemke-Howson Solutions
- đ¤ Speaker: Rahul Savani, University of Liverpool
- đ Date & Time: Thursday 14 April 2011, 14:00 - 15:00
- đ Venue: Small lecture theatre, Microsoft Research Ltd, 7 J J Thomson Avenue (Off Madingley Road), Cambridge
Abstract
We show that the widely used homotopy method for solving fixpoint problems, as well as the Harsanyi-Selten equilibrium selection process for games, are PSPACE -complete to implement. A key application of our techniques yields the result that it is also PSPACE -complete to compute any of the equilibria that could be found via the classical Lemke-Howson algorithm.
Joint work with Paul W. Goldberg and Christos H. Papadimitriou.
Series This talk is part of the Microsoft Research Cambridge, public talks series.
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Rahul Savani, University of Liverpool
Thursday 14 April 2011, 14:00-15:00