990 research outputs found
Fraisse Limits, Ramsey Theory, and Topological Dynamics of Automorphism Groups
We study in this paper some connections between the Fraisse theory of
amalgamation classes and ultrahomogeneous structures, Ramsey theory, and
topological dynamics of automorphism groups of countable structures.Comment: 73 pages, LaTeX 2e, to appear in Geom. Funct. Ana
Quantum Prisoner's Dilemma game on hypergraph networks
We study the possible advantages of adopting of quantum strategies in
multi-player evolutionary games. We base our study on the three-player
Prisoner's Dilemma (PD) game. In order to model the simultaneous interaction
between three agents we use hypergraphs and hypergraph networks. In particular,
we study two types of networks: a random network and a SF-like network. The
obtained results show that in the case of a three player game on a hypergraph
network, quantum strategies are not necessarily stochastically stable
strategies. In some cases, the defection strategy can be as good as a quantum
one.Comment: 6 pages, 5 figures. arXiv admin note: text overlap with
arXiv:quant-ph/0004076 by other author
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