A network effect is introduced taking into account competition, cooperation, and mixed-type interaction among agents along a generalized Verhulst-Lotka-Volterra model. It is also argued that the presence of a market capacity undoubtedly enforces a definite 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 among 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.
Effects of competition and cooperation interaction between agents on networks in the presence of a market capacity / Sonubi, ADEYEMI ADEWALE; Arcagni, ALBERTO GIOVANNI; Stefani, Silvana; Ausloos, M.. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 94:2(2016). [10.1103/PhysRevE.94.022303]
Effects of competition and cooperation interaction between agents on networks in the presence of a market capacity
ARCAGNI, ALBERTO GIOVANNI;STEFANI, SILVANA;
2016
Abstract
A network effect is introduced taking into account competition, cooperation, and mixed-type interaction among agents along a generalized Verhulst-Lotka-Volterra model. It is also argued that the presence of a market capacity undoubtedly enforces a definite 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 among 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.File | Dimensione | Formato | |
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