EMPERIOStrategy & Research Lab
Framework library

Game theory and payoff matrices

Competition

How to use it

Specify players, feasible actions and payoffs under each combination. Find each player's best response, then test what changes under repeated play or uncertainty.

Worked example

Model a software price rise with and without a rival discount. Estimate retention under each response before assuming competitors will hold prices.

Common pitfall

Numeric payoffs can conceal weak behavioural assumptions. Test the likely response, not only the arithmetic.

Work through a decision
  1. Frame the questionWho can change the terms on which this business earns a margin?
  2. What to deliverIdentify the mechanism, who benefits from it and the strongest substitute or competitor response.

Apply it to a case