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Effects of Competition and Cooperation Interaction between Agents on Networks in Presence of a "Market Capacity"

A network effect is introduced taking into account competition, cooperation and mixed-type interaction amongst agents along a generalized Verhulst-Lotka-Volterra model. It is also argued that the presence of a market capacity enforces an indubious limit on the agent's size growth. The state sta...

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Bibliographic Details
Published in:arXiv.org 2016-07
Main Authors: Sonubi, A, Arcagni, A, Stefani, S, Ausloos, M
Format: Article
Language:English
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Summary:A network effect is introduced taking into account competition, cooperation and mixed-type interaction amongst agents along a generalized Verhulst-Lotka-Volterra model. It is also argued that the presence of a market capacity enforces an indubious limit on the agent's size growth. The state stability of triadic agents, i.e., the most basic network plaquette, is investigated analytically for possible scenarios, through a fixed point analysis. It is discovered that: (i) \market" demand is only satisfied for full competition when one agent monopolizes the market; (ii) growth of agent size is encouraged in full cooperation; (iii) collaboration amongst agents to compete against one single agent may result in the disappearance of this single agent out of the market, and (iv) cooperating with two rivals may become a growth strategy for an intelligent agent.
ISSN:2331-8422
DOI:10.48550/arxiv.1607.04335