Game Theory · Lesson 09 · ← Lesson 08

When one side knows more

Under asymmetric information, actions speak — the informed signal, the uninformed screen.

~14 min · one sitting Skill: signaling & screening Builds on: credibility, payoffs
First — 20-second recall from Lesson 08

Without scrolling back: what sustains cooperation in a repeated game?

01 · THE INFORMATION GAPWhat the other side knows that you don't

Most lessons assume both players know the payoffs — you see the full matrix. Reality is messier. In many of your most consequential decisions, the other side holds private information you can't directly observe.

A patient can see your waiting room, your tone, your website — but not your actual surgical skill. A potential SaaS buyer knows exactly how much time they'd save with Pro features, but you don't. A job candidate knows whether they'll show up and work hard; you're guessing from a 45-minute call.

Private information breaks naive trust. And it produces a failure mode with a name: adverse selection.

Adverse selection happens when you can't distinguish types, so you price or treat them as average — but average terms drive away the good types and attract the bad ones. George Akerlof showed this formally with used cars: if buyers can't tell a lemon from a gem, they'll only pay average price, so owners of gems pull their cars from the market, and the market fills with lemons.

Your version: if surgeons can't credibly signal their actual skill, patients default to price or proximity. The high-quality surgeon who charges a premium gets crowded out by the cheaper mediocre one. The signal problem isn't academic — it's eating your referrals.

Two tools break this deadlock, depending on which side of the information gap you're on:

Adverse selection and information asymmetry introduced formally in SEP — Game Theory; the lemons model and signaling explored throughout Open Yale ECON 159 (Polak).

02 · SIGNALINGThe informed side proves itself

You are the informed party — you know your own surgical skill, your product quality, your commitment. The other side doesn't. Words alone can't solve this, because anyone can say "I'm the best." A signal only works if it's costly in a way that fakers can't afford.

The foundational idea — Michael Spence's single-crossing condition (Job Market Signaling, 1973): a signal credibly separates types if and only if it costs MORE for the low type than the high type to produce it. The high type can afford to signal; the low type can't rationally imitate.

The credibility test

Could a low-quality version cheaply copy this action? If yes, it's cheap talk — it signals nothing. If no — if it would be ruinously costly for the faker — it's a real signal.

Signals you already hold:

Notice the pattern: the signal works precisely because it's asymmetrically costly. The good type pays a manageable price to be believed; the bad type pays an unbearable price to imitate. That asymmetry is the whole mechanism.

Same reflex you already have Ordering a costly confirmatory test that only a genuinely high-suspicion case would justify — the cost itself is what makes it a credible signal of severity. A cheap test everyone orders signals nothing.

Spence's model: Michael Spence, Job Market Signaling (1973); signaling equilibria formalized in SEP — Game Theory.

03 · IS IT A CREDIBLE SIGNAL?Apply the test

Which of these credibly signals high quality to a potential patient or SaaS buyer?

04 · SCREENINGThe uninformed side designs the choice

Now flip the table. You're the uninformed party — you don't know each buyer's true willingness-to-pay, each patient's seriousness, each hire's effort level. You can't ask directly (people lie or don't know), but you can design a menu of choices that makes each type self-select into the option that fits them.

This is screening. The famous economic archetype: an insurance company offers policies with different deductibles. High-risk customers prefer low deductibles (they expect to claim). Low-risk customers accept high deductibles for lower premiums. By offering both options, the insurer learns risk type without asking — each type reveals itself through choice.

Your SaaS tiers are a screening menu. Free / Pro / Expert isn't generosity — it's information extraction.
Model read: picking Pro reveals real, recurring usage — a user who only dabbles has nothing to lose by staying on Free, so choosing Pro is itself the signal of moderate willingness-to-pay. You never asked; the click told you.

Think about what your three tiers actually do:

The screen works because each type makes the choice that's optimal for them — and in doing so reveals private information to you. The menu is designed so that a power user wouldn't choose Free (too feature-limited) and a casual user wouldn't choose Expert (not worth it). Self-selection does the sorting.

Same logic, other contexts:

Screening and mechanism design in SEP — Game Theory; self-selection menus in Open Yale ECON 159 (Polak); tiered pricing as screening — Dixit & Nalebuff, The Art of Strategy (Norton, 2008).

05 · DESIGN THE SCREENWhy the Free tier exists

Why offer a limited Free tier instead of a single mid-price for everyone?

06 · KNOW THE LIMITSWhen a signal or screen fails

Both tools break under specific, predictable conditions. Knowing the failure mode is what stops you from trusting a signal that's actually noise, or a menu that's actually blind.

Contraindications — don't trust the signal or the screen here

  • Cheap talk isn't a signal. a signal only works if it's genuinely COSTLIER for the 'bad' type to fake — if both types can send it cheaply it's just cheap talk and gets ignored.
  • Nothing to screen. a screening menu fails if the types don't actually differ in what they'll pay or accept — there's nothing to separate.
  • Watch for pooling. pooling (everyone sends the same signal) conveys no information — watch for it.

Before you lean on either tool, ask which failure mode applies: is the "costly" action actually costly for the type you're trying to screen out, and are your types different enough to sort at all?

07 · LOCK IT INSignaling & screening — the two-move toolkit

Bring it back. Pick two real decisions:

You're the informed side — your surgical skill, your SaaS quality, your commitment to a partnership. What costly, hard-to-fake action could you take that a low-quality version couldn't rationally copy? (Publishing outcomes? A public guarantee? A fellowship credential you're not yet advertising?)

You're the uninformed side — a SaaS buyer's willingness-to-pay, a hire's actual work ethic, a referrer's real commitment. What menu or test would make each type choose differently — revealing themselves to you without being asked? Tell me both. I'll pressure-test them against the single-crossing condition.

Your rep — do it on a real decision, not a hypothetical. Open DECISIONS.md and pull D6 — SlideCraft's real Free / Pro $29 / Expert $59 tiers as a screening menu that lets each user type sort itself. Those tiers are real — keep them real.

Copy learning-records/REP-TEMPLATE.md and fill Phase 1 using D6: ① the four outcomes · ② your ranking · ③ what each user type is actually optimising (value-for-spend) · ④ their ranking from each type's chair · ⑤ your predicted self-selection · ⑥ the one assumption you're least sure of · ⑦ the contraindication check — does pooling risk apply to your tiers?

The gate: this lesson isn't "done" when you finish reading — it's done when one REP-*.md exists with Phase 1 filled. Delivered ≠ learned. One honest rep beats reading the next three lessons.

Primary sources: SEP — Game Theory (information asymmetry & signaling) · Open Yale ECON 159 (Polak). Named work: Michael Spence, Job Market Signaling (1973) · Dixit & Nalebuff, The Art of Strategy (Norton, 2008).