博弈论（1）——枪手博弈

枪手博弈的规则：各枪手向当前存活的枪手中命中率最高的枪手开枪，最厉害的枪手先开枪然后从强向弱轮换。

1 代码实现

下面是枪手博弈的python运行代码：

1.1 需要引用的工具包：

import copy
import random

1.2 枪手博弈函数主体：

def Gunner_game(Game_num, Gunner_num=3, max_hit_rate=0.9, min_hit_rate=0.1):hitrate_interval = (max_hit_rate - min_hit_rate)/(Gunner_num + 1)Gunner_list = [(Gunner_id, max_hit_rate - hitrate_interval * (Gunner_id + 1)) for Gunner_id in range(Gunner_num)]ret = []for exma_num in range(Game_num):losser_list = []winer = Nonewhile len(Gunner_list) - len(losser_list) > 1:for Gunner_id, Hit_rate in Gunner_list:if (Gunner_id, Hit_rate) in losser_list:continueGunner_list_x = copy.deepcopy(Gunner_list)Gunner_list_x.remove((Gunner_id, Hit_rate))for losser_x in losser_list:Gunner_list_x.remove(losser_x)Gunner_list_x.sort(key=lambda x: x[1], reverse=True)Gunner_target = Gunner_list_x.pop(0)if random.random() <= Hit_rate:losser_list.append(Gunner_target)if len(Gunner_list) - len(losser_list) == 1:winer = (Gunner_id, Hit_rate)breakret.append(winer[0])for Gunner_id, Hit_rate in Gunner_list:winnum = len([retx for retx in ret if retx == Gunner_id])print(f'Guner_{Gunner_id};hit_rate is:{Hit_rate}; win_num is :{winnum};win rate:{winnum/Game_num}')

1.3 main函数

if __name__ == "__main__":Gunner_game(100000, 3, 1.0, 0.5)

2 实验结果

2.1 代码输出

Guner_0;hit_rate is:0.875; win_num is :30528;win rate:0.30528
Guner_1;hit_rate is:0.75; win_num is :4594;win rate:0.04594
Guner_2;hit_rate is:0.625; win_num is :64878;win rate:0.64878

2.2 结果分析

实验结果显示，100000组实验的结果中，老三的虽然命中率最差，但胜率最高。老二最惨，胜率只有0.045。

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