Journal
PHYSICS LETTERS A
Volume 378, Issue 26-27, Pages 1787-1796Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2014.04.070
Keywords
Coopetition networks; Directed signed networks; Signed Laplacian matrix; Structural balance
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Funding
- National Natural Science Foundation of China [61104104]
- Program for New Century Excellent Talents in University [NCET-13-0091]
- Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry of China
- Australian Research Council [DP120104986]
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Cooperation and competition are two typical interactional relationships for intra-networks and inter-networks. This paper investigates the modeling of coopetition networks and the collective dynamics on such networks. The coopetition networks are firstly modeled by directed signed graphs. The evolutionary relationships among individuals on the coopetition networks are described by a neighbor-based dynamics model, which is also called multi-agent system (MAS). Then, under a weak connectivity assumption that the signed network has a spanning tree, some sufficient conditions are derived for the consensus, polarization or fragmentation behaviors of the MAS with the help of the structural balance theory. At the same time, signless Laplacian matrix and signed Laplacian matrix are introduced to analyze the collective dynamics of the MAS on coopetition networks. Finally, simulation results are provided to demonstrate the emergence of diverse collective behaviors on coopetition networks. (C) 2014 Elsevier B.V. All rights reserved.
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