Imitator strategies |
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| Authors: | J. Haigh W. G. S. Hines |
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| Affiliation: | 1. Division of Cardiology, Johns Hopkins University School of Medicine, Baltimore, MD USA;2. Tulane University Heart and Vascular Institute, Tulane University School of Medicine, New Orleans, LA USA;3. Division of Cardiology, University of Arizona College of Medicine-Phoenix, Phoenix, AZ USA;4. Division of Preventive Cardiology, Department of Cardiovascular Medicine, Mayo Clinic, Rochester, MN USA;5. Internal Medicine, Creighton University School of Medicine, Chandler, AZ USA;6. Women''s Heart Health, Dignity Health, AZ USA;7. Division of Cardiology, University of Florida Health, Jacksonville, FL USA;8. Centennial Heart, Chattanooga, TN USA;9. Division of Cardiology, Morehouse School of Medicine, Atlanta, GA USA;10. Division of Clinical Research and Leadership, George Washington University School of Medicine, Washington, DC USA;11. Louisville Metabolic and Atherosclerosis Research Center, Louisville, KY USA;12. Division of Cardiology, UT Southwestern Medical Center, Dallas, TX USA;1. University of Amsterdam, Netherlands & GIGA German Institute of Global and Area Studies, Germany;2. Institute for Management Research, Radboud University, The Netherlands |
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| Abstract: | An imitator strategy in an evolutionary game is a pair (u, p) consisting of a conventional and generally-known strategy u (the personal strategy) and a probability p of using the opponent's personal strategy rather than one's own. The question of whether imitator strategies (p > 0) can be used to invade populations using conventional ESSs is explored, and is found to depend in part on the variability of strategy present in the initial population. Interior values of p (0 < p < 1) are found never to be optimal. Examples are used repeatedly to illustrate the theory. The imitator strategy is also compared with the successful Tit-for-Tat strategy considered in the Axelrod-Hamilton study of the Prisoner's dilemma. |
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