Computer Science – Computer Science and Game Theory
Scientific paper
2011-02-18
Computer Science
Computer Science and Game Theory
25 pages
Scientific paper
Pavlov, a well-known strategy in game theory, has been shown to have some advantages in the Iterated Prisoner's Dilemma (IPD) game. However, this strategy can be exploited by inveterate defectors. We modify this strategy to mitigate the exploitation. We call the resulting strategy Rational Pavlov. This has a parameter p which measures the "degree of forgiveness" of the players. We study the evolution of cooperation in the IPD game, when n players are arranged in a cycle, and all play this strategy. We examine the effect of varying p on the convergence rate and prove that the convergence rate is fast, O(n log n) time, for high values of p. We also prove that the convergence rate is exponentially slow in n for small enough p. Our analysis leaves a gap in the range of p, but simulations suggest that there is, in fact, a sharp phase transition.
Dyer Martin
Mohanaraj Velumailum
No associations
LandOfFree
The Iterated Prisoner's Dilemma on a Cycle does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Iterated Prisoner's Dilemma on a Cycle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Iterated Prisoner's Dilemma on a Cycle will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-212748