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Shape 07 · also called the shadow of the future

The Repeated Game

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Repetition creates a future cost to defecting today, which can make cooperation individually rational without changing anyone's character.

Two conditions carry the weight. The future has to matter enough relative to the present, and the end has to be unknown — if everybody knows which round is the last, cooperation unravels backwards from it, which is why fixed-term arrangements behave worse near expiry and why outgoing officeholders behave differently. The best-known strategy for the repeated case, tit for tat, is not clever: it is nice, provokable, immediately forgiving and completely transparent, and its single-round memory is the design, since longer grudges poison the rest of the game for both sides.

A long strip of twelve equal cells, each holding a pale circle or a solid square like a ledger of past moves, with an arrow looping from the last cell back to the first.
How it feels
  • You will deal with these people again, and both of you know it.
  • Reputation carries between rounds — somebody is keeping score.
  • Behaviour visibly changes near a known end date.
  • The response to what you did arrives in the NEXT round, not this one.
Who is playing
The parties, plus everyone who will hear about it. Reputation makes observers into players, which is exactly why repetition works — and why anonymity dissolves it.
Where it lands
Sustained cooperation while the future is long and visible; rapid collapse in the last rounds once the end becomes known.
What moves it

Extend or obscure the horizon, make history visible, introduce reputation systems, and be alert to endgames — the last quarter of any fixed arrangement is where the behaviour changes and where the safeguards need to be.

Not to be confused with


Nearly every misread in practice is a shape mistaken for its neighbour — and each of those mistakes points you at the wrong fix.

The Prisoner's Dilemma

Is this a one-off? The payoff matrix can be identical — the only difference is whether there is a next round, and it changes the answer completely.

Read The Prisoner's Dilemma

Commitment

Is the discipline coming from the future, or from a rule made in advance? Repetition and commitment are different mechanisms and only one works on a stranger.

Read Commitment

Where you have already met it


Work and Careers

Why the colleague you rely on stays reliable, and why the contractor on their last job sometimes does not.

Markets and Money

Repeat business is the entire enforcement mechanism of most commerce. Reviews are an attempt to manufacture it for one-shot trades.

Law and Courts

Repeat players in litigation behave completely differently from one-shot parties, and usually do better.

Family and Relationships

The strongest thing holding most households together is not affection. It is that tomorrow exists and everyone knows it.