Game Theory Scenario Planner
Key Features of the Tool:
- User Input for Payoffs: The user can enter the payoffs for each possible strategy combination.
- Payoff Matrix: Displays the payoff matrix between Player 1 and Player 2.
- Dominant Strategy: Checks if a dominant strategy exists for either player and displays it.
- Basic Nash Equilibrium Check: The basic Nash equilibrium is calculated using dominant strategies.
Example:
For a game with the following payoffs:
- Player 1 Strategy 1 vs Player 2 Strategy 1: (5, 3)
- Player 1 Strategy 2 vs Player 2 Strategy 1: (2, 6)
- Player 1 Strategy 1 vs Player 2 Strategy 2: (4, 7)
- Player 1 Strategy 2 vs Player 2 Strategy 2: (1, 8)
The result will be shown in a Payoff Table, and a dominant strategy (if any) will be highlighted for both players.