Dominance
Game Theory // Fall 2025
Prof. Santetti
marcio.santetti@emerson.edu
Time to solve games
Time to solve games
In order to solve games, two key assumptions:
- Rationality: Players will select the action that leads to the outcome they most prefer (i.e., higher payoffs);
- Common knowldge: Players have a shared understanding of the entire game.
A particular fact F is said to be common knowledge between the players if each player knows F, each player knows that the others know F, each player knows that every other player knows that each player knows F, and so on.
Dominance
Dominance
Dominance
Dominance
Dominance
Formally:
A player’s pure strategy “x” dominates another pure strategy “y” if it generates a greater payoff than “y” regardless of what the other player(s) do(es).