def demo():
game = Nash()
game.fill_payoff()
game.show_payoff()
game.find_nash()
if game.nash.__len__() == 0:
print("game has no nash equilibrium")
return
else:
for n in game.nash:
print("({},{})".format(n.x, n.y))
player1 = []
player2 = []
i_0 = random.randint(0, 4)
j_0 = random.randint(0, 4)
player1.append(game.payoff[i_0][j_0].x)
player2.append(game.payoff[i_0][j_0].y)
count = 0
while game.is_nash(i_0, j_0) == False and count < 20:
i = Player.B_1(j_0, game.payoff)
j = Player.B_2(i_0, game.payoff)
i_0 = i
j_0 = j
player1.append(game.payoff[i_0][j_0].x)
player2.append(game.payoff[i_0][j_0].y)
count += 1
player1.append(game.payoff[i_0][j_0].x)
player2.append(game.payoff[i_0][j_0].y)
count += 1
x = range(count + 1)
player1_curve, = plt.plot(x, player1, label="player 1")
player2_curve, = plt.plot(x, player2, label="player 2")
plt.legend([player1_curve, player2_curve], ['player 1', 'player 2'])
plt.xlabel('attempt of game')
plt.ylabel('payoff')
plt.grid()
plt.show()
game = Nash()
# payoff matrix of "oscillating game"
# game.payoff = [
# [Tuple(6, 7), Tuple(5, 2), Tuple(5, 8), Tuple(0, 2), Tuple(0, 1)],
# [Tuple(1, 1), Tuple(3, 2), Tuple(5, 2), Tuple(1, 3), Tuple(5, 1)],
# [Tuple(1, 7), Tuple(2, 7), Tuple(1, 7), Tuple(4, 8), Tuple(8, 1)],
# [Tuple(0, 1), Tuple(4, 7), Tuple(8, 2), Tuple(3, 0), Tuple(0, 3)],
# [Tuple(8, 4), Tuple(3, 2), Tuple(1, 4), Tuple(9, 6), Tuple(1, 0)]
# ]
# payoff matrix of "normal game"
game.payoff = [
[Tuple(9, 8), Tuple(3, 0), Tuple(4, 2), Tuple(1, 1), Tuple(0, 2)],
[Tuple(3, 6), Tuple(9, 3), Tuple(8, 5), Tuple(3, 8), Tuple(9, 6)],
[Tuple(8, 9), Tuple(4, 7), Tuple(5, 3), Tuple(4, 4), Tuple(6, 5)],
[Tuple(1, 7), Tuple(5, 8), Tuple(9, 4), Tuple(1, 2), Tuple(3, 3)],
[Tuple(1, 7), Tuple(8, 8), Tuple(0, 9), Tuple(0, 5), Tuple(9, 3)]
]
game.show_payoff()
game.find_nash()
G = nx.DiGraph()
for i in range(5):
for j in range(5):
play_game(G, game, i, j)
nx.draw(G, pos=nx.spring_layout(G), with_labels=True, scale=10, center=(0,0))
plt.show()
