#OK to post homework
#George Spahn, 2-20-2022, Assignment 8

# 2

# No matter what the other player plays, not donating always results in getting 5 more dollars.
# Therefore both players not donating can be the only nash equilibrium

# T=R+0.01, R=10000P, S=P-0.01

# In this case, both players will result in .01 more by not donating. 
# This is tragic because the combined utility of both players is 19998P lower.


# 3

# Assuming T>R>S>P, the mixed nash equilibrium is the following:

# Both players play strategy 1 with probability

# P-S / P+R-S-T