Approximately counting up to four (extended abstract)
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
On the emergence of social conventions: modeling, analysis, and simulations
Artificial Intelligence - Special issue on economic principles of multi-agent systems
Mixing properties of the Swendsen-Wang process on classes of graphs
Random Structures & Algorithms - Special issue on statistical physics methods in discrete probability, combinatorics, and theoretical computer science
On Markov chains for independent sets
Journal of Algorithms
Markov chain algorithms for planar lattice structures
FOCS '95 Proceedings of the 36th Annual Symposium on Foundations of Computer Science
Coupling and self-stabilization
Distributed Computing - Special issue: DISC 04
On the expected time for Herman's probabilistic self-stabilizing algorithm
Theoretical Computer Science
Slow emergence of cooperation for win-stay lose-shift on trees
Machine Learning
On the Dynamics of Social Balance on General Networks (with an application to XOR-SAT)
Fundamenta Informaticae - Machines, Computations and Universality, Part II
On the computational capabilities of several models
MCU'07 Proceedings of the 5th international conference on Machines, computations, and universality
Theoretical Computer Science
Computing with pavlovian populations
OPODIS'11 Proceedings of the 15th international conference on Principles of Distributed Systems
On the Dynamics of Social Balance on General Networks (with an application to XOR-SAT)
Fundamenta Informaticae - Machines, Computations and Universality, Part II
Adversarial scheduling in discrete models of social dynamics
Mathematical Structures in Computer Science
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We consider a stochastic process based on the iterated prisoner's dilemma game. During the game, each of n players has a state, either cooperate or defect. The players are connected by an ‘interaction graph’. During each step of the process, an edge of the graph is chosen uniformly at random and the states of the players connected by the edge are modified according to the Pavlov strategy. The process converges to a unique absorbing state in which all players cooperate. We prove two conjectures of Kittock: the convergence rate is exponential in n when the interaction graph is a complete graph, and it is polynomial in n when the interaction graph is a cycle. In fact, we show that the rate is O(n log n) in the latter case.