read `Nash.txt`:

print(`This file concerns problem 4 of Barry's assignment 4`):

print(`Note that we use the variables p and q rather than x and y `):
print(``):

f:=4*p*q-2*p-q+3:

print(`The pay-off of player 1  is`, f):

print(`Let's look at the Best response`):

BRpV(f,p,q):



print(`The pay-off of player 2  is`, -f):

print(`Let's look at the Best response`):

BRpV(-f,q,p):

print(`Hence the Nash equilibrium is`, [1/2,1/2]):

quit: