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

Abstract

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.

arXiv comment22 pages, 41 references, 2 tables, 7 figures, to be published in Phys. Rev. E

References in corpus (8)

• Statistical mechanics of complex networks
• Memory in network flows and its effects on spreading dynamics and community detection
• A model of ideological struggle
• Discrete Model of Ideological Struggle Accounting for Migration
• Dynamic Peer-to-Peer Competition
• Cooperative peer-to-peer multiagent based systems
• Complex-valued information entropy measure for networks with directed links (digraphs). Application to citations by community agents with opposite opinions
• Statistical-mechanics approach to a reinforcement learning model with memory

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