def __init__(self, game_name, agent_num, action_num=12):
Serializable.quick_init(self, locals())
self.game = game_name
self.agent_num = agent_num
self.action_num = action_num
self.action_spaces = MADiscrete([action_num] * self.agent_num)
self.observation_spaces = MADiscrete([1] * self.agent_num)
self.env_specs = MAEnvSpec(self.observation_spaces, self.action_spaces)
self.t = 0
self.numplots = 0
self.payoff = {}
if self.game == 'lemonade':
assert self.agent_num == 3
def get_distance(a_n, i):
assert len(a_n) == 3
a_n_i = np.copy(a_n)
a_n_i[0], a_n_i[i] = a_n_i[i], a_n_i[0]
return np.abs(a_n_i[0] - a_n_i[1]) + np.abs(a_n_i[0] - a_n_i[2])
self.payoff = lambda a_n, i: get_distance(a_n, i)
def __init__(self,
agent_num,
mus=[0., 400.],
sigmas=[100., 200.],
action_low=0,
action_high=10):
Serializable.quick_init(self, locals())
self.game_name = 'gaussian_squeeze'
self.mus = np.array(mus)
self.sigmas = np.array(sigmas)
self.agent_num = agent_num
self.action_range = [action_low, action_high]
lows = np.array(
[np.array([action_low]) for _ in range(self.agent_num)])
highs = np.array(
[np.array([action_high]) for _ in range(self.agent_num)])
self.action_spaces = MABox(lows=lows, highs=highs)
self.observation_spaces = MADiscrete([1] * self.agent_num)
self.env_specs = MAEnvSpec(self.observation_spaces, self.action_spaces)
def __init__(self,
agent_num,
game_name='pbeauty',
p=0.67,
reward_type='abs',
action_low=-1.,
action_high=1.):
Serializable.quick_init(self, locals())
self.agent_num = agent_num
self.p = p
self.game_name = game_name
self.reward_type = reward_type
self.action_range = [action_low, action_high]
lows = np.array(
[np.array([action_low]) for _ in range(self.agent_num)])
highs = np.array(
[np.array([action_high]) for _ in range(self.agent_num)])
self.action_spaces = MABox(lows=lows, highs=highs)
self.observation_spaces = MADiscrete([1] * self.agent_num)
self.env_specs = MAEnvSpec(self.observation_spaces, self.action_spaces)
self.t = 0
self.rewards = np.zeros((self.agent_num, ))
def __init__(self, game_name, agent_num, action_low=-10, action_high=10):
Serializable.quick_init(self, locals())
self.game = game_name
self.agent_num = agent_num
# self.action_num = action_num
self.action_range = [action_low, action_high]
lows = np.array(
[np.array([action_low]) for _ in range(self.agent_num)])
highs = np.array(
[np.array([action_high]) for _ in range(self.agent_num)])
self.action_spaces = MABox(lows=lows, highs=highs)
self.observation_spaces = MADiscrete([1] * self.agent_num)
self.env_specs = MAEnvSpec(self.observation_spaces, self.action_spaces)
self.t = 0
self.numplots = 0
self.payoff = {}
if self.game == 'zero_sum':
assert self.agent_num == 2
self.payoff[0] = lambda a1, a2: a1 * a2
self.payoff[1] = lambda a1, a2: -a1 * a2
elif self.game == 'trigonometric':
assert self.agent_num == 2
self.payoff[0] = lambda a1, a2: np.cos(a2) * a1
self.payoff[1] = lambda a1, a2: np.sin(a1) * a2
elif self.game == 'mataching_pennies':
assert self.agent_num == 2
self.payoff[0] = lambda a1, a2: (a1 - 0.5) * (a2 - 0.5)
self.payoff[1] = lambda a1, a2: (a1 - 0.5) * (a2 - 0.5)
elif self.game == 'rotational':
assert self.agent_num == 2
self.payoff[0] = lambda a1, a2: 0.5 * a1 * a1 + 10 * a1 * a2
self.payoff[1] = lambda a1, a2: 0.5 * a2 * a2 - 10 * a1 * a2
elif self.game == 'wolf':
assert self.agent_num == 2
def V(alpha, beta, payoff):
u = payoff[(0, 0)] - payoff[(0, 1)] - payoff[(1, 0)] + payoff[
(1, 1)]
return alpha * beta * u + alpha * (payoff[(0, 1)] - payoff[
(1, 1)]) + beta * (payoff[(1, 0)] - payoff[
(1, 1)]) + payoff[(1, 1)]
payoff_0 = np.array([[0, 3], [1, 2]])
payoff_1 = np.array([[3, 2], [0, 1]])
self.payoff[0] = lambda a1, a2: V(a1, a2, payoff_0)
self.payoff[1] = lambda a1, a2: V(a1, a2, payoff_1)
elif self.game == 'ma_softq':
assert self.agent_num == 2
h1 = 0.8
h2 = 1.
s1 = 3.
s2 = 1.
x1 = -5.
x2 = 5.
y1 = -5.
y2 = 5.
c = 10.
def max_f(a1, a2):
f1 = h1 * (-(np.square(a1 - x1) / s1) -
(np.square(a2 - y1) / s1))
f2 = h2 * (-(np.square(a1 - x2) / s2) -
(np.square(a2 - y2) / s2)) + c
return max(f1, f2)
self.payoff[0] = lambda a1, a2: max_f(a1, a2)
self.payoff[1] = lambda a1, a2: max_f(a1, a2)
self.rewards = np.zeros((self.agent_num, ))
def __init__(self,
game,
agent_num,
action_num,
payoff=None,
repeated=False,
max_step=25,
memory=0,
discrete_action=True,
tuple_obs=True):
self.game = game
self.agent_num = agent_num
self.action_num = action_num
self.discrete_action = discrete_action
self.tuple_obs = tuple_obs
# self.action_range
# self.action_space = np.array([range(action_num)] * self.agent_num)
# self.state_space = np.array([range(1)] * self.agent_num)
if self.discrete_action:
self.action_spaces = MADiscrete([action_num] * self.agent_num)
if memory == 0:
self.observation_spaces = MADiscrete([1] * self.agent_num)
elif memory == 1:
self.observation_spaces = MADiscrete([5] * self.agent_num)
else:
self.action_range = [-1., 1.]
lows = np.array([np.array([-1.]) for _ in range(self.agent_num)])
highs = np.array([np.array([1.]) for _ in range(self.agent_num)])
self.action_spaces = MABox(lows=lows, highs=highs)
if memory == 0:
self.observation_spaces = MADiscrete([1] * self.agent_num)
elif memory == 1:
lows = np.array(
[np.array([-1., -1.]) for _ in range(self.agent_num)])
highs = np.array(
[np.array([1., 1.]) for _ in range(self.agent_num)])
self.observation_spaces = MABox(lows=lows, highs=highs)
self.env_specs = MAEnvSpec(self.observation_spaces, self.action_spaces)
self.t = 0
self.repeated = repeated
self.max_step = max_step
self.memory = memory
self.previous_action = 0
self.previous_actions = []
self.ep_rewards = np.zeros(2)
if payoff is not None:
payoff = np.array(payoff)
assert payoff.shape == tuple([agent_num] +
[action_num] * agent_num)
self.payoff = payoff
if payoff is None:
self.payoff = np.zeros(
tuple([agent_num] + [action_num] * agent_num))
if game == 'coordination_0_0':
assert self.agent_num == 2
assert self.action_num == 2
self.payoff[0] = [[1, -1], [-1, -1]]
self.payoff[1] = [[1, -1], [-1, -1]]
if game == 'coordination_same_action_with_preference':
assert self.agent_num == 2
assert self.action_num == 2
self.payoff[0] = [[2, 0], [0, 1]]
self.payoff[1] = [[1, 0], [0, 2]]
# '''payoff tabular of zero-sum game scenario. nash equilibrium: (Agenat1's action=0,Agent2's action=1)'''
elif game == 'zero_sum_nash_0_1':
assert self.agent_num == 2
assert self.action_num == 2
self.payoff[0] = [[5, 2], [-1, 6]]
self.payoff[1] = [[-5, -2], [1, -6]]
# '''payoff tabular of zero-sumgame scenario. matching pennies'''
elif game == 'matching_pennies':
assert self.agent_num == 2
assert self.action_num == 2
self.payoff[0] = [[1, -1], [-1, 1]]
self.payoff[1] = [[-1, 1], [1, -1]]
# elif game == 'matching_pennies_3':
# assert self.agent_num == 3
# assert self.action_num == 2
# self.payoff[0]=[
# [ [1,-1],
# [-1,1] ],
# [ [1, -1],
# [-1, 1]]
# ]
# self.payoff[1]=[
# [ [1,-1],
# [1,-1] ],
# [[-1, 1],
# [-1, 1]]
# ]
# self.payoff[2] = [
# [[-1, -1],
# [1, 1]],
# [[1, 1],
# [-1, -1]]
# ]
elif game == 'prison_lola':
assert self.agent_num == 2
assert self.action_num == 2
self.payoff[0] = [[-1, -3], [0, -2]]
self.payoff[1] = [[-1, 0], [-3, -2]]
elif game == 'prison':
assert self.agent_num == 2
assert self.action_num == 2
self.payoff[0] = [[3, 1], [4, 2]]
self.payoff[1] = [[3, 4], [1, 2]]
elif game == 'stag_hunt':
assert self.agent_num == 2
assert self.action_num == 2
self.payoff[0] = [[4, 1], [3, 2]]
self.payoff[1] = [[4, 3], [1, 2]]
elif game == 'chicken': # snowdrift
assert self.agent_num == 2
assert self.action_num == 2
self.payoff[0] = [[3, 2], [4, 1]]
self.payoff[1] = [[3, 4], [2, 1]]
elif game == 'harmony':
assert self.agent_num == 2
assert self.action_num == 2
self.payoff[0] = [[4, 3], [2, 1]]
self.payoff[1] = [[4, 2], [3, 1]]
elif game == 'wolf_05_05':
assert self.agent_num == 2
assert self.action_num == 2
self.payoff[0] = [[0, 3], [1, 2]]
self.payoff[1] = [[3, 2], [0, 1]]
# \alpha, \beta = 0, 0.9, nash is 0.5 0.5
# Q tables given, matian best response, learn a nash e.
elif game == 'climbing':
assert self.agent_num == 2
assert self.action_num == 3
self.payoff[0] = [[11, -30, 0], [-30, 7, 6], [0, 0, 5]]
self.payoff[1] = [[11, -30, 0], [-30, 7, 6], [0, 0, 5]]
elif game == 'penalty':
assert self.agent_num == 2
assert self.action_num == 3
self.payoff[0] = [[10, 0, 0], [0, 2, 0], [0, 0, 10]]
self.payoff[1] = [[10, 0, 0], [0, 2, 0], [0, 0, 10]]
# elif game == 'rock_paper_scissors':
# assert self.agent_num == 2
# assert self.action_num == 3
# self.payoff[0] = [[0, -1, 1],
# [1, 0, -1],
# [-1, 1, 0]
# ]
# self.payoff[1] = [[0, 1, -1],
# [-1, 0, 1],
# [1, -1, 0]
# ]
self.rewards = np.zeros((self.agent_num, ))