Note that your first simple game (prisoners’ dilemma) is also zero-sum, and has no dominant strategy. Having another few cells in the matrix is not the complexity you’re trying to show.
Afaict, the first simple game is not the prisoner’s dilemma, nor is it zero-sum, nor is the prisoner’s dilemma zero-sum.
The first game is the prisoner’s dilemma if you read the payoffs as player A/B, which is a bit different from how it’s normally presented.
And yes, prisoner’s dilemma is not zero sum.
Note that your first simple game (prisoners’ dilemma) is also zero-sum, and has no dominant strategy. Having another few cells in the matrix is not the complexity you’re trying to show.
Afaict, the first simple game is not the prisoner’s dilemma, nor is it zero-sum, nor is the prisoner’s dilemma zero-sum.
The first game is the prisoner’s dilemma if you read the payoffs as player A/B, which is a bit different from how it’s normally presented.
And yes, prisoner’s dilemma is not zero sum.