Game Theory

Pay-off matrix

Decision analysis tool that summarizes pros and cons of a decision in a tabular form. It lists payoffs (negative or positive returns) associated with all possible combinations of alternative actions and external conditions.

Nash-equilibrium

If both parties choose the best solution for themselves and this can give one solution we have a Nash-equilibrium. This doesn't means that this is the optimal solution

Kind of Games

  • Static vs Dynamic

Static: you can take only one shot

Dynamic (or repeated): you keep on taking decisions


  • Simultaneous vs Sequential

Simeltaneous: both players take their decision on the same time

Sequential: the players decide after each other


  • Zero sum vs Variable Sum

Zero sum: the result is constant

Variable sum (or non-zero-sum): the total result can differ


  • Cooperative vs Non-cooperative

Cooperative: players may cooperate

Non-cooperative: players cannot cooperate


Kind of strategies


  • Dominant strategy

The strategy which is the best one for you, whatever the other player does.


  • Dominated strategy

There is a strategy that would be better for you, whatever the other player does.


  • Maxi-min strategy

Choose the best solution amongst the worst ones.


  • Mini-max strategy
Choose the worst solution amongst the best ones.

  • Maxi-max strategy

Choose the best solution amongst the best ones.


  • Tit-for-tat strategy

Strategy in which you first act cooperatively and then take the same decisions as your opponent.


  • Trigger strategy
Strategy in which you first act cooperatively, if your opponent didn't act cooperatively you decide to choose for the Nash-equilibrium.


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