Abstract
The main goal of our work is to show how ideas change in social networks. Our analysis is based on three concepts: (i) temporal networks, (ii) the Axelrod model of culture dissemination, (iii) the garbage can model of organizational choice. The use of the concept of temporal networks allows us to show the dynamics of ideas spreading processes in networks, thanks to the analysis of contacts between agents in networks. The Axelrod culture dissemination model allows us to use the importance of cooperative behavior for the dynamics of ideas disseminated in networks. In the third model decisions on solutions of problems are made as an outcome of sequences of pseudorandom numbers. The origin of this model is the Herbert Simon’s view on bounded rationality. In the Axelrod model, ideas are conveyed by strings of symbols. The outcome of the model should be the diversity of evolving ideas as dependent on the chain length, on the number of possible values of symbols and on the threshold value of Hamming distance which enables the combination.
Highlights
Are some examples that illustrate the dynamics of ideas:
The first, analytical formulation draws from the Hegselmann–Krause (HK) model of opinion dynamics [34]
The integration process is executed through the mutual attraction of interacting ideas. Provided that these ideas are distributed with initial density ρ(y) over a range between a and b on the axis, the dynamics of an idea at point x is given by the following equation: dx
Summary
Rico Sneller [3] suggests redefining ideas in a way that does away with the traditional division into subject and object, takes into account the existence of synchronicity underlying the birth of certain ideas in different environments and recognizes a certain degree of opacity From this perspective, ideas do not merely serve as practical solutions or useful tools, but rather provide us with a means of overcoming human problems, whether it be in the fields of science, philosophy, religion or society. Ideas convey a disposition to break through, whether in terms of thinking or acting, an impasse [3] This can take the form of an invention, an algorithm, a procedure, a routine or even a story. This process involves selecting a certain subset of elements out of a larger set of solutions
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