## A Stochastic Model for Prisoner's Dilemma |

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128 parameters assume asymptotic distribution average pay-off block of 50 constant contingent probabilities DD trap defector differential equation distrust double cooperative choice double defecting choice equations 33 examining four propensities frequencies of cooperation game Cf game parameters Game XII Games III greed happened to choose hence independent parameters independent variables initial largest in Game largest pay-off learning parameters Matrix Model for Prisoner's namely numerical magnitude observed values obtain operator which acts overall frequencies P'CC pay to cooperate player has cooperated player has defected positive reinforcement pressure to choose Prisoner's Dilemma games probability of cooperating propensity to cooperate psychologically identical punished DD reinforcement parameters repentance represents the operator restriction rewarded satisfied simpletons simplified solved stationary Markov process Stochastic learning Suppose temptation to defect term represents theoretical transition probabilities trend trustworthiness two-parameter model upper bound vengefulness x y z w yZ PCD