
# battle.txt
2
Battle of the Sexes
ballet  1 2  0 0
boxing  0 0  2 1

# https://www.youtube.com/watch?v=2BdBWmL8tJc&list=PLKI1h_nAkaQoDzI4xDIXzx6U2ergFmedo&index=10
# both pure strategy Nash equilibria and mixed strategy Nash equilibria
# two pure Nash: (ba,ba), (box,box)
# simulation shows reduced versions of these
# mixed strategy p1 = 1/3 ballet; p2 = 2/3 ballet (rarely seen)
# https://www.youtube.com/watch?v=4lEl4vDkML8&list=PLKI1h_nAkaQoDzI4xDIXzx6U2ergFmedo&index=11
# payoff for mixed is 2/3 each; worse than pure Nash

# https://www.youtube.com/watch?v=0aAss6_e_W0&list=PLKI1h_nAkaQoDzI4xDIXzx6U2ergFmedo&index=27