def comparison_simulations_passAnyDeltaAndPayoffMatrix_simulationsMatchCalculations():
"""This tests that the results returned by the simulations match the results of the calculations."""
# Construct the payoff matrix
payoff_matrix = PrisonersDilemmaPayoff()
for combo in strategy_combinations:
# Pull out each strategy
strategy_one = combo[0]
strategy_two = combo[1]
# Get the result from the calcs
calculation_result, _ = calculate_payoff(strategy_one, strategy_two, payoff_matrix, DELTA, EPSILON)
# Get the result from the sims
simulation_result, _ = simulate_payoff(strategy_one, strategy_two, payoff_matrix, DELTA, trials = 1000)
# Compare them
if abs(simulation_result) > TOLERANCE:
diff = abs(simulation_result - calculation_result) / abs(calculation_result)
if diff <= TOLERANCE:
report_success()
else:
report_failure(combo, payoff_matrix, DELTA, diff)
else:
diff = abs(simulation_result - calculation_result)
if diff <= TOLERANCE:
report_success()
else:
report_failure(combo, payoff_matrix, DELTA, diff)
def compute_values():
payoff_matrix = PrisonersDilemmaPayoff()
delta = 0.9
mu = 0.0005
sim_time = time()
sim = simulate_payoff(AllC, AllC, payoff_matrix, delta, mistake_probability=mu, estimator_stdev=0.4)
sim_time = time() - sim_time
print("Simulated value = " + str(sim))
print("Time taken " + str(sim_time))
mult_sim_time = time()
mult_sim = mult_simulate_payoff(AllC, AllC, payoff_matrix, delta, mistake_probability=mu, estimator_stdev=0.4)
mult_sim_time = time() - mult_sim_time
print("Multiprocessed simulated value = " + str(mult_sim))
print("Time taken " + str(mult_sim_time))
calc_simple_time = time()
calc_simple = [0., 0.]
no_mistake = [0., 0.]
one_mistake = [0., 0.]
two_mistakes = [0., 0.]
for i in range(0, 100000):
for k in [0, 1]:
no_mistake[k] = ((1 - mu) ** 2) * (payoff_matrix.CC)[k]
two_mistakes[k] = (mu ** 2) * (payoff_matrix.DD)[k]
one_mistake[k] = (mu * (1 - mu)) * ((payoff_matrix.CD)[k] + (payoff_matrix.DC)[k])
calc_simple[k] += (delta ** i) * (no_mistake[k] + one_mistake[k] + two_mistakes[k])
calc_simple[0] *= (1 - delta)
calc_simple[1] *= (1 - delta)
calc_simple_time = time() - calc_simple_time
print("Calculated value (simplified) = " + str(calc_simple))
print("Time taken " + str(calc_simple_time))
calc_naive_time = time()
calc_naive = calculate_payoff_with_mistakes(AllC, AllC, payoff_matrix, delta, mu, 1e-5)
calc_naive_time = time() - calc_naive_time
print("Calculated value = " + str(calc_naive))
print("Time taken " + str(calc_naive_time))
mult_calc_naive_time = time()
mult_calc_naive = mult_calculate_payoff(AllC, AllC, payoff_matrix, delta, mu, 1e-5)
mult_calc_naive_time = time() - mult_calc_naive_time
print("Multiprocessed calculated value = " + str(mult_calc_naive))
print("Time taken " + str(mult_calc_naive_time))
expected_only_time = time()
expected_only_value = expected_only(AllC, AllC, payoff_matrix, delta, mu, 1e-5)
expected_only_time = time() - expected_only_time
print("Expected value only calculated value = " + str(expected_only_value))
print("Time taken " + str(expected_only_time))
def simulate_normalised_payoff(self, payoff_matrix, continuation_probability, trials=1000, seed=1234):
"""
Compute the normalised payoff of each strategy using a monte carlo method.
Args:
As per simulations.simulate_normalised_payoff
Returns:
As per simulations.simulate_normalised_payoff
"""
return simulate_payoff(self.strategy_one, self.strategy_two, payoff_matrix,
continuation_probability, trials, seed)
