Title: Collective behaviour in cascade model depends on turn of the choice

Authors: Saori Iwanaga; Akira Namatame

Addresses: Department of Maritime Safety Technology, Japan Coast Guard Academy, 5-1 Wakaba, Kure, Hiroshima, 737-8512, Japan ' Department of Computer Science, National Defense Academy, 1-10-20 Hashirimizu, Yokosuka, Kanagawa, 239-8686, Japan

Abstract: There are growing interests for studying collective behaviour including the dynamics of markets, the emergence of social norms and conventions, and collective phenomena in daily life such as traffic congestion. In cascade model, collective behaviour is affected in the structure of the social network and threshold to make decision, and the collective behaviour was stochastic, similar to threshold model in local interaction. In both model, although decisions of agents are deterministic, collective behaviour of population become stochastic. In previous work, we analysed origin of stochastic collective behaviour and we found that collective behaviour depends on the initial behaviour of high degree in threshold model in local interaction. In this paper, we analysed origin of stochastic collective behaviour in cascade model. We analysed why collective behaviour is stochastic in scale free network. Then, we show that turn of the choice effects on collective behaviour not the first choices.

Keywords: collective behaviour; agent-based systems; social networks; network degree; threshold models; multi-agent simulation; multi-agent systems; MAS; cascade models; choice; stochastic modelling; scale free networks.

DOI: 10.1504/IJAL.2016.074911

International Journal of Automation and Logistics, 2016 Vol.2 No.1/2, pp.93 - 107

Received: 28 Jan 2015
Accepted: 06 Jun 2015
Published online: 24 Feb 2016 *