How to Reach Correlated Equilibrium
Silvio Micali
Computer Science and Artificial Intelligence Laboratory
Massachusetts Institute of Technology
Tuesday, November 16, 2004
4:30 - 5:45 PM
Terman Engineering Center, Room 453
Abstract:
In game theory, correlated equilibria generalize traditional Nash ones
with significant advantages: they are always easy to compute and yield
higher and more flexible payoffs. So far, however, REACHING such
equilibria without the assistance of an external party or device has
been problematic.
All known protocols to reach correlated equilibrium not only
(1) rely on EMPTY THREATS to handle the deviation of a single player,
but
(2) always enable a COALITION of deviating players to determine
everyone's payoff as they please.
We exhibit a cryptographic protocol enabling the players of ANY
non-cooperative game to reach correlated equilibrium, in POLYNOMIAL
TIME, WITHOUT EMPTY THREATS, and WITHSTANDING THE ACTIONS OF ANY
COALITION.
Joint work with Matt Lepinski, Chris Peikert, and Abhi Shelat.
Bio:
Silvio Micali is a professor of Computer Science at MIT since 1983. He
works on the complexity theoretic foundations of pseudo-random
generation, cryptography, and secure protocols. He was awarded the
Gödel Prize in theoretical computer science in 1993 for his work
on Interactive and Zero-Knowledge proofs.
Operations Research Colloquia: http://or.stanford.edu/oras_seminars.html