Figure 2
From: Modeling fashion as an emergent collective behavior of bored individuals

A model of individual boredom and collective fashion behavior: (A) Colors in a circular space are represented as a two-dimensional color vectors. The color value is given by the angle that this color vector forms with a fixed reference vector. The hue space is selected as an illustrative example for a circular color space. (B) The concept of color vectors is then used in an agent-based model, where single agents integrate multiple sampled colors, form individual decisions for a color variant and randomly interact with other individuals from the population. Each computational step is implemented for each individual from the population. The depicted manikin illustrates the analogy of a subject that iteratively makes fashion-related decisions such as choosing a color for clothing and sampling the colors that other individuals are wearing (see “Methods” section). (C) Sigmoid function which is used in the model to implement boredom as novelty-dependent decision-making. The function is constrained in its maximum and skewness, so that the only free parameter defining the boredom of an individual is x0, describing the function’s horizontal shift (high x0 values reflecting high boredom, low x0 values reflecting low boredom). The depicted curve with x0 = 0.7 reflects an intermediate level of boredom.