Game Theory
Game theory models a situation where your best move depends on what others choose, so you can spot the equilibrium both sides will settle into rather than the one you wish for.
Two players face off across a four-cell grid, each cell holding the payoff for that pair of choices.
Reach for this when…
- You're pricing against a competitor and every move invites a countermove.
- Two departments are stuck in a standoff and neither will move first.
- You're negotiating and need to know what the other side does if you walk away.
How to run it
- Name the players and what each one can actually choose.
- List the possible strategies for each player.
- Work out the payoff to each player for every combination of choices.
- Find the equilibrium: the combination where nobody gains by switching alone.
- Check whether the game is one-shot or repeated - repeated games reward cooperation that one-shot games punish.
A worked example
Situation. Katalin Nagy ran a mid-sized soy cooperative outside Budapest, Hungary, locked in a price war with the region's other big buyer for the same farmers' harvest.
Applied. She mapped it as a two-player game: undercut and provoke a price war that hurt both, or hold price and split volume. The payoffs showed undercutting only won if the rival didn't retaliate, and the rival always retaliated.
Result. She held price publicly and signalled it clearly at planting season. The rival matched rather than fought, and both cooperatives kept margin they'd been giving away for two seasons.
The catch
Game theory assumes players are rational and know the payoffs, and real competitors are neither fully rational nor fully known to you. The moment you can't estimate the other side's payoffs, the model tells you the shape of the problem, not the answer.
If you can't say what the other player's payoff is, you don't have a game theory problem, you have a guess dressed up as one.
Origin: John von Neumann & Oskar Morgenstern; John Nash