2011/01/04 by Carlos P. Roca, Moez Draief, Roca, Carlos P. +3
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · Social Sciences · #Complex Network Analysis Techniques #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #FOS: Physical sciences #Opinion Dynamics and Social Influence #Physics and Society (physics.soc-ph) #Populations and Evolution (q-bio.PE) #physics.soc-ph #q-bio.PE
paper · pdf · doi:10.48550/arxiv.1101.0775
28 pages, 7 figures
arxiv created 2011/01/04 · openalex publication_date 2011/01/04 · arxiv updated 2011/01/06 · openalex created_date 2022/08/30 · openalex updated_date 2026/07/28
Competition is one of the most fundamental phenomena in physics, biology and\neconomics. Recent studies of the competition between innovations have\nhighlighted the influence of switching costs and interaction networks, but the\nproblem is still puzzling. We introduce a model that reveals a novel\nmulti-percolation process, which governs the struggle of innovations trying to\npenetrate a market. We find that innovations thrive as long as they percolate\nin a population, and one becomes dominant when it is the only one that\npercolates. Besides offering a theoretical framework to understand the\ndiffusion of competing innovations in social networks, our results are also\nrelevant to model other problems such as opinion formation, political\npolarization, survival of languages and the spread of health behavior.\n