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Discerning media bias within a network of political allies and opponents: Disruption by partisans 1 Introduction 1 An idealized model of media bias: inferring the bias of a coin 2 Updating beliefs in two steps: independent observations and peer pressure 2 Implementation of obdurate partisans 3 Automaton 4 Mathematical model of networks: complete versus Barabasi–Albert 5 Relation to other models 5 Allies only 6 Disruption by a single partisan 6 Dwell times and the fraction of partisans in a network 8 Switching between beliefs 9 Dueling partisans 9 Opponents only 10 Asymptotic learning 11 Reaching the wrong conclusion first 13 Fraction of partisans: effect on ta 13 Mixed allegiances 14 Triads 14 Larger networks 16 Partly connected networks 17 Distance to the partisans: dissolving consensus on the path to turbulent nonconvergence 18 Dwell time versus f and dp 19 Mixed allegiances 20 Manipulating collective opinion: optimizing the placement of partisans 21 Discussion and summary 22 CRediT authorship contribution statement 24 Declaration of competing interest 24 Data availability 24 Acknowledgments 24 Appendix A. Simulation implementation 25 Appendix B. Special case of a deterministic c

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UND

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nonfiction