Prisoner’s dilemma

C- don't tell N- tell CC-3,3 CN-1,4 NC-4,1 NN-2,2

Matrix of chicken

C- swerve N- not swerve CC- 3,3 CN- 2,4 NC- 4,2 NN-1,1

Dominant strategy

In a 2x2 ordinal game is a common best strategy to both strategies of the other player.

Nash Equilibrium

In a 2x2 ordinal game is a strategy profile in which neither player would gain by unilaterally switching strategies.

How many Nash equilibrium for 0 dominant strategies

2

How many Nash equilibrium for 2 dominant strategies

1

How many Nash equilibrium for 1 dominant strategy

1

For nim games (m,n), what is player 2’s winning strategy

If m is a multiple of n+1: respond to j with (n+1)-j

What is player ones winning strategy in nim games

If m is not a multiple of n on first move, reduce the running sum to multiple of n+1. On subsequent moves, respond to j with (n+1) -j