谢林点:无需沟通的合作
谢林点:无需沟通的合作
无法沟通的人可以通过预测对方行为来实现合作
Nivi: 我们来谈谈谢林点。
Naval: 谢林点是托马斯·谢林在其著作《冲突的策略》中提出的博弈论概念,我推荐这本书。
它涉及多人博弈,人们根据他们认为对方会如何回应来做出反应。他提出了一个数学形式化方法来回答:如何让无法相互沟通的人实现协调?
无法沟通时利用社会规范进行合作
假设我想与你见面,但没有告诉你在何时何地见面。你也想见我,但我们无法沟通。这听起来像是一个不可能解决的问题——我们做不到。但也不尽然。
你可以利用社会规范来收敛到一个谢林点。我知道你是理性且受过教育的。你也知道我是理性且受过教育的。我们都会开始思考。
- 我们何时见面? 如果必须选择一个任意日期,我们很可能会选择除夕夜。
- 我们什么时间见面? 午夜或凌晨12:01。
- 我们在哪里见面? 如果我们是美国人,主要的见面地点可能是纽约市,最重要的城市。
- 在纽约市的哪里见面? 很可能在中央车站的钟楼下。也许你最终会去帝国大厦,但可能性不大。
你可以在商业、艺术和政治中找到谢林点
有许多博弈——无论是商业、艺术还是政治——你都可以找到谢林点。这样你就可以与对方合作,即使无法沟通。
这里有一个简单的例子:假设两家公司激烈竞争并形成寡头垄断。假设某项服务的价格在8美元到12美元之间波动。如果它们在从未相互交谈的情况下收敛到10美元,不要感到惊讶。
Schelling Point: Cooperating Without Communicating
People who can’t communicate can cooperate by anticipating the other person’s actions
Nivi: Let’s talk about Schelling points.
Naval: The Schelling point is a game theory concept made famous by Thomas Schelling in his book, The Strategy of Conflict, which I recommend.
It’s about multiplayer games where people respond based on what they think the other person’s response will be. He came up with a mathematical formalization to answer: How do you get people who cannot communicate with each other to coordinate?
Use social norms to cooperate when you can’t communicate
Suppose I want to meet with you, but I don’t tell you where or when to meet. You also want to meet with me, but we can’t communicate. That sounds like an impossible problem to solve—we can’t do it. But not quite.
You can use social norms to converge on a Schelling point. I know you’re rational and educated. And you know I’m rational and educated. We’re both going to start thinking.
- When will we meet? If we have to pick an arbitrary date, we’ll probably pick New Year’s Eve.
- What time will we meet? Midnight or 12:01 a.m.
- Where will we meet? If we’re Americans, the big meeting spot is probably New York City, the most important city.
- Where in New York City will we meet? Probably under the clock at Grand Central Station. Maybe you end up at the Empire State Building, but not likely.
You can find Schelling points in business, art and politics
There are many games—whether it’s business or art or politics—where you can find a Schelling point. So you can cooperate with the other person, even when you can’t communicate.
Here’s a simple example: Suppose two companies are competing heavily and hold an oligopoly. Let’s say the price fluctuates between 12 for whatever the service is. Don’t be surprised if they converge on $10 without ever talking to each other.