Sample frameDay 075·Strategy · Game Theory

Good morning. Your next move has a reply. Most plans leave it out.

Strategy.

The Payoff Matrix

5 min read·Apply by lunch

The question

The next time you cut a price, match an offer, or move into a rival's territory, they get to move too — so for the competitive decision on your desk this week, can you write down their most likely reply and what the board looks like after it, and if you can't, why haven't you scored the game before playing your half of it?

The idea

Game theory entered economics in 1944, when the mathematician John von Neumann and the economist Oskar Morgenstern published Theory of Games and Economic Behavior — a book built on one observation: in competitive situations, the outcome of your decision depends on decisions other people are making at the same time, in their own interest. The payoff matrix is the working tool that fell out of it: a small grid with your options on one axis, a rival's options on the other, and in every cell what each side wins or loses. John Nash later supplied the thing the grid exists to find — the equilibrium, the cell where neither side can do better by changing their move alone. Most people plan competitive moves against a frozen world: the price cut is modelled, the spreadsheet approves it, and nowhere does the model contain the competitor's Tuesday-morning meeting about how to respond. That is the trap — strategy against opponents who don't move. The matrix forces the reply into the plan before you commit to it.

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