# Test 1 Flashcards

Coordinate for battle of the sexes

O opera B baseball BB 4,3 OB 1,1 BO 2,2 OO 3,4

Coordinates for chicken

C= swerve n= not swerve CC 3,3 CN 2,4 NN 1,1 NC 4,2

Prisoner’s Dilemma

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

Dominant strategy

A common best response for both strategies of the other player

Nash equilibrium

A strategy profile for which neither player gains by unilaterally switching strategies

2 dom strategies = how many Nash equilibriums?

1

1 dominant strategy = how many Nash equilibriums?

1

0 dominant strategies = how many Nash equilibrium?

0 or 2

What is paradoxical about Prisoner’s Dilemma?

They both have a CBR of N and N but strategy profile NN doesn’t have the best outcome since it is ranked 2,2

Winning strategy for player 1 in nim(m,n)

If m is not a variable of n+1. First move reduce running sum to a multiple of n+1. Subsequent moves respond to j with (n+1)-j

Player twos winning strategy in Nim(m,n)

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

Player ones winning strategy in RNim(m,n)

If m is not a variable of one more than n+1. First move reduce running sum to a multiple of one more than n+1. Respond to j with (n+1)-j

Winning strategy for player two in RNim(m,n)

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

ChooseNim winning strategy

Player one only! Choose a number for m that is not a multiple of (n+1)

What does TFGWT stand for

Totally finite games without ties