A Comparison of Stochastic Cellular Automata Diffusion with the Bass Diffusion Model

Fibich, Gadi; Gibori, Ro'i; Muller, Eitan

doi:10.2139/ssrn.1663544

Cited by 2 publications

(2 citation statements)

References 13 publications

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“…One can compare the expression of the transition probability, (13), with the adoption probabilities of the Linear and GLM models of Bass Diffusion discussed in [70]. The match in expressions is clear in the small time step limit, ∆t → 0.…”

Section: Agent Based Model For the Bass Diffusionmentioning

confidence: 96%

Agent-based Versus Macroscopic Modeling of Competition and Business Processes in Economics and Finance

Kononovicius,

Gontis,

Daniunas

2012

Preprint

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We present examples of agent-based and stochastic models of competition and business processes in economics and finance. We start from as simple as possible models, which have microscopic, agent-based, versions and macroscopic treatment in behavior. Microscopic and macroscopic versions of herding model proposed by Kirman and Bass new product diffusion are considered in this contribution as two basic ideas. Further we demonstrate that general herding behavior can be considered as a background of nonlinear stochastic model of financial fluctuations.

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Section: Agent Based Model For the Bass Diffusionmentioning

confidence: 96%

Agent-based Versus Macroscopic Modeling of Competition and Business Processes in Economics and Finance

Kononovicius,

Gontis,

Daniunas

2012

Preprint

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“…In this work, we use the Bass diffusion model to comprehend evangelistic factors like the role of media influence and word of mouth dissemination (Bass 1969(Bass , 1980Fibich et al 2010). Further, we employ cellular automata (CA) to explore the emergence of opinions in a diverse ideological society, CA approach enhances the robustness of model as a whole by taking the local and overlapping structure of interactions between agents into consideration.…”

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confidence: 99%

On the role of evangelism in consensus formation: a simulation approach

Sharma

Chourasia

Bhatia

et al. 2016

Complex Adapt Syst Model

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Purpose Opinions continuously evolve in society. While conservative ideas may get replaced by a new one, some views remain immutable. Opinion formation and innovation diffusion have witnessed lots of attention in the last decade due to its widespread applicability in the diverse domain of science and technology. We analyse these scenarios in which interactions at the micro level results in the changes in opinions at the macro level in a population of predefined ideological groups. Methods We use the Bass model, otherwise well known for understanding innovation diffusion phenomena, to compute adoption probabilities of three opinion states-zealot, extremists and moderates. Thereafter, we employ cellular automata to explore the emergence of opinions through local and overlapped interactions between agents (people). NetLogo environment has been used to develop an agent-based model, simulating different ideological scenarios. Results Simulation results validate a critical proportion of committed individuals as a plausible basis for ideological shifts in societies. The analysis elucidates upon the role of moderates in the population and emergence of varying opinions. The results further delineate the role of evangelism through social and non-social methods in propagating views. Conclusion The results obtained from these simulations endorse the conclusions reported in previous studies regarding the role of a critical zealot population, and the preponderance of non-social influence. We, however, use two-phase opinion model with different experimental settings. Additionally, we examine global observable, such as entropy of the system to reveal common patterns of adoption in the views and evenness of population after reaching a consensus.

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A Comparison of Stochastic Cellular Automata Diffusion with the Bass Diffusion Model

Cited by 2 publications

References 13 publications

Agent-based Versus Macroscopic Modeling of Competition and Business Processes in Economics and Finance

Agent-based Versus Macroscopic Modeling of Competition and Business Processes in Economics and Finance

On the role of evangelism in consensus formation: a simulation approach

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