R语言 实现两方演化博弈
时间: 2023-12-19 08:05:41 浏览: 27
以下是R语言实现两方演化博弈的示例代码:
```R
# 定义两个策略
strategy1 <- c(0.5, 0.5)
strategy2 <- c(0.5, 0.5)
# 定义收益矩阵
payoff_matrix <- matrix(c(3, 0, 5, 1), nrow = 2, ncol = 2, byrow = TRUE)
# 定义演化博弈函数
evolutionary_game <- function(strategy1, strategy2, payoff_matrix, rounds) {
for (i in 1:rounds) {
# 计算策略1的收益
payoff1 <- sum(strategy1 * payoff_matrix[,1])
# 计算策略2的收益
payoff2 <- sum(strategy2 * payoff_matrix[,2])
# 计算策略1的平均收益
avg_payoff1 <- (payoff1 + payoff2) / 2
# 计算策略2的平均收益
avg_payoff2 <- (payoff1 + payoff2) / 2
# 计算策略1的适应度
fitness1 <- payoff1 / avg_payoff1
# 计算策略2的适应度
fitness2 <- payoff2 / avg_payoff2
# 计算策略1的变异概率
mutation_prob1 <- 1 - fitness1
# 计算策略2的变异概率
mutation_prob2 <- 1 - fitness2
# 生成随机数,判断是否变异
if (runif(1) < mutation_prob1) {
strategy1 <- runif(2)
strategy1 <- strategy1 / sum(strategy1)
}
if (runif(1) < mutation_prob2) {
strategy2 <- runif(2)
strategy2 <- strategy2 / sum(strategy2)
}
# 生成随机数,判断是否博弈
if (runif(1) < fitness1) {
# 策略1博弈
if (runif(1) < strategy1[1]) {
# 策略2合作
payoff1 <- payoff1 + payoff_matrix[1,1]
payoff2 <- payoff2 + payoff_matrix[1,2]
} else {
# 策略2不合作
payoff1 <- payoff1 + payoff_matrix[2,1]
payoff2 <- payoff2 + payoff_matrix[2,2]
}
} else {
# 策略2博弈
if (runif(1) < strategy2[1]) {
# 策略1合作
payoff1 <- payoff1 + payoff_matrix[1,1]
payoff2 <- payoff2 + payoff_matrix[2,1]
} else {
# 策略1不合作
payoff1 <- payoff1 + payoff_matrix[2,1]
payoff2 <- payoff2 + payoff_matrix[2,2]
}
}
}
# 返回最终策略和收益
return(list(strategy1 = strategy1, strategy2 = strategy2, payoff1 = payoff1, payoff2 = payoff2))
}
# 运行演化博弈函数
result <- evolutionary_game(strategy1, strategy2, payoff_matrix, 1000)
# 输出最终策略和收益
print(result$strategy1)
print(result$strategy2)
print(result$payoff1)
print(result$payoff2)
```