Behavior in a game simulating brinksmanship and appeasement is analyzed as a function of varying parameters in the game and as over-time trends. Anatol Rapoport is Professor of Mathematical Biology and Senior Research Mathematician at the Mental Health Research Institute, University of Michigan. He is the author of Fights, Games and Debates; Strategy and Conscience, and co-author of Prisoner's Dilemma. Albert M. Chammah is also at MHRI, as Assistant Research Mathematical Psychologist, he is co-author of Prisoner's Dilemma.
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Rapoport et al. (1966) studied this question.
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