初级Beginner点子Idea
要不要合作?信任的游戏
Cooperate or Not? The Trust Game
把一颗糖投进“机器”,它会变成 3 颗送给对方。你投不投?如果要玩 10 轮呢?
Put one candy in the machine and your partner gets 3. Do you put it in? What if you play 10 rounds?
这是一个课程点子:活动和资料都有,学习单还没做。
This is a lesson idea: the activities and links are ready, the worksheets are not made yet.
你和同学各拿一颗糖。你把糖投进“机器”,它会变成 3 颗送给对方。你投不投?如果要和同一个人玩 10 轮呢?
You and a classmate each have one candy. Put yours in the machine and it turns into 3 candies for your partner. Do you put it in? What if you play the same person 10 times?
孩子做什么What kids do
- 两两对玩 10 轮:每轮同时亮出“合作 / 不合作”牌。Play in pairs for 10 rounds: each round, both show a “cooperate” or “don’t” card at the same time.
- 全班循环赛:每人先写好“策略卡”,比如“一直合作”“你上一轮怎么对我,我这一轮就怎么对你”,按卡片对战,看谁总分最高。Class tournament: everyone writes a strategy card first, such as “always cooperate” or “do to me what I did to you last round”, then plays by the card. Who scores highest?
- 加一点“误会”:每轮有小概率“手滑”,本想合作却变成不合作。再比一次,看哪种策略最吃亏。Add a little misunderstanding: each round there is a small chance of a “slip”, where cooperating turns into not cooperating. Play again: which strategy loses the most?
要点Key idea
1980 年 Axelrod 办了一场电脑程序比赛,赢的是最简单的“以牙还牙”:先友好,对方使坏就回敬,对方改了就原谅。有误会的时候,更愿意原谅的策略表现得更好。
In 1980 Robert Axelrod held a tournament of computer programs. The winner was the simplest: tit for tat. Be kind first, answer unkindness, and forgive when the other side changes. When there are misunderstandings, more forgiving strategies do better.
和 AI 的关系Where AI comes in
AI 之间也要打交道,比如自动驾驶的车互相让路。这也是一节品格课:原谅在数学上也站得住(饶恕七十个七次,太 18:22)。
AIs have to get along too, like self-driving cars letting each other pass. It is also a lesson in character: forgiveness holds up in the math (seventy times seven, Matthew 18:22).
视频与文章Videos and reading
- Nicky Case: The Evolution of Trust 互动网页,约 30 分钟,全班一起玩interactive, about 30 min, play it together
- 信任的进化(中文版) 中文版Chinese version
- Veritasium: Once you understand game theory, you understand the world. 27 分钟,老师和大孩子27 min, teachers and older kids