Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 388, Issue 17, Pages 3615-3620Publisher
ELSEVIER
DOI: 10.1016/j.physa.2009.05.007
Keywords
Naming game; Small-world network; Geographical effect
Categories
Funding
- National Basic Research Program of China [2006CB705500]
- National Natural Science Foundation of China [60744003, 10635040, 10532060]
- Specialized Research Fund for the Doctoral Program of Higher Education of China [20060358065]
- National science fund [J0630319]
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The naming game model characterizes the main evolutionary features Of languages or more generally of communication systems. Very recently, the combination of complex networks and the naming game has received Much attention and the influences of various topological properties on the corresponding dynamical behavior have been widely studied. In this paper, we investigate the naming game on small-world geographical networks. The small-world geographical networks are constructed by randomly adding links to two-dimensional regular lattices, and it is found that the convergence time is a nonmonotonic function of the geographical distance of randomly added shortcuts. This phenomenon indicates that. although a long geographical distance of the added shortcuts favors consensus achievement, too long a geographical distance of the added shortcuts inhibits the convergence process, making it even slower than the moderates. (C) 2009 Elsevier B.V. All rights reserved.
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