1. Introduction 2. Understanding Social Media Algorithms 2.1 The Basics of Algorithms 2.2 Mechanisms Used by Major Platforms 2.3 Personalization and User Experience 3. Influence on Public Opinion 3.1 Defining Public Opinion in Democracies 3.2 Channels of Influence 3.3 Case Studies in Opinion Shifts 4. Algorithmic Amplification of Biases 4.1 Identifying Algorithmic Biases 4.2 Impact of Echo Chambers 4.3 Consequences on Diverse Viewpoints 5. Regulation and Policy Frameworks 5.1 Current Regulatory Approaches 5.2 Challenges in International Policies 5.3 Recommendations for Policy Revisions 6. Ethical Implications 6.1 Privacy vs Personalization 6.2 Accountability of Social Platforms 6.3 Ethical Use of Data in Democracies 7. Evaluating Mitigation Strategies 7.1 Algorithm Transparency Initiatives 7.2 Educating the Public 7.3 Technological Interventions 8. Future Research Directions 8.1 Emerging Trends in Algorithms 8.2 Long-term Studies on Public Opinion 8.3 Cross-disciplinary Approaches 9. Conclusion
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