This commit is contained in:
Barak Michener 2013-07-29 17:16:33 -04:00
parent 2a533c1f73
commit db2d5fc38c
3 changed files with 571 additions and 571 deletions

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newtim.py
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import pymc as mc
import functools
import itertools
from collections import defaultdict as dd
import pprint
import progressbar
def ResistanceGame(n_players):
full_set = [("G1", True), ("G2", True), ("G3", True), ("E1", False), ("E2", False),
("G4", True), ("E3", False), ("G5", True), ("G6", True), ("E4", False)]
return full_set[:n_players]
class DeceptionGame(object):
def __init__(self, player_array):
self.player_array = player_array
self.all_permutations = list(itertools.permutations(player_array))
self.n_players = len(player_array)
self.trace = None
self.observations = []
self.tid = 0
self.lady_will_duck = mc.Bernoulli("lady_will_duck", 0.5)
self.mission_ducks_on_round = [None] * 5
self.mission_ducks_on_round[0] = mc.Bernoulli("missionduck_on_0", 0.5)
self.mission_ducks_on_round[1] = mc.Bernoulli("missionduck_on_1", 0.5)
self.mission_ducks_on_round[2] = mc.Bernoulli("missionduck_on_2", 0.5)
self.mission_ducks_on_round[3] = mc.Bernoulli("missionduck_on_3", 0.0)
self.mission_ducks_on_round[4] = mc.Bernoulli("missionduck_on_4", 0.0)
self.ignorance_on_round = [None] * 5
self.ignorance_on_round[0] = mc.Bernoulli("ignorance_on_0", 0.9)
self.ignorance_on_round[1] = mc.Bernoulli("ignorance_on_1", 0.7)
self.ignorance_on_round[2] = mc.Bernoulli("ignorance_on_2", 0.5)
self.ignorance_on_round[3] = mc.Bernoulli("ignorance_on_3", 0.3)
self.ignorance_on_round[4] = mc.Bernoulli("ignorance_on_4", 0.3)
def player_is_good(self, deal, player):
return deal[player][1]
def player_is_role(self, deal, player):
return deal[player][0]
def add_known_alliance(self, player_id, is_good):
transaction = []
def obs(deal):
if self.player_is_good(deal, player_id) == is_good:
return True
else:
return None
transaction.append(obs)
self.observations.append(transaction)
self.tid += 1
def add_known_role(self, player_id, role_str):
transaction = []
def obs(deal):
if self.player_is_role(deal, player_id) == role_str:
return True
else:
return None
transaction.append(obs)
self.observations.append(transaction)
self.tid += 1
def player_sees_player_and_claims(self, p1, p2, claim):
transaction = []
def obs(deal):
if self.player_is_good(deal, p1):
if self.player_is_good(deal, p2) == claim:
return True
else:
return None
else:
if self.lady_will_duck.rand():
if self.player_is_good(deal, p2) == claim:
return True
else:
return False
else:
if self.player_is_good(deal, p2) == claim:
return False
else:
return True
transaction.append(obs)
self.observations.append(transaction)
self.tid += 1
def do_mission(self, team, fails, must_fail, r):
transaction = []
rnd = r - 1
def obs(deal):
n_actually_good_people = sum([int(self.player_is_good(deal, x)) for x in team])
n_spies = len(team) - n_actually_good_people
if n_spies == 0:
if fails != 0:
return None
else:
return True
else:
if fails == 0:
if must_fail:
return None
duck = False
for i in range(n_spies - fails):
duck = duck or self.mission_ducks_on_round[rnd].rand()
return duck
else:
if fails > n_spies:
return None
return True
transaction.append(obs)
self.observations.append(transaction)
self.tid += 1
def do_vote(self, team, votes, r):
transaction = []
rnd = r - 1
def obs(deal):
n_actually_good_people = sum([int(self.player_is_good(deal, x)) for x in team])
n_spies = len(team) - n_actually_good_people
could_happen = True
for player, vote in enumerate(votes):
if self.player_is_good(deal, player):
if player in team:
continue
elif n_spies > 0:
if vote == 1:
if self.ignorance_on_round[rnd].rand():
continue
else:
return False
else:
if vote == 0:
if self.ignorance_on_round[rnd].rand():
continue
else:
return False
else:
if player in team:
continue
elif n_spies == 0:
if vote == 1:
if self.ignorance_on_round[rnd].rand():
continue
else:
return False
else:
if vote == 0:
if self.ignorance_on_round[rnd].rand():
continue
else:
return False
return could_happen
transaction.append(obs)
self.observations.append(transaction)
self.tid += 1
def eval(self, length=10):
deck = self.all_permutations[:]
new_deck = []
trace = []
progress = progressbar.ProgressBar(widgets=["Simulating games: ", progressbar.Bar(marker="*"), " ", progressbar.ETA()])
for i in progress(range(length)):
for deal in deck:
f_list = []
for obs in self.observations:
for tid in obs:
f_list.append(tid)
is_bad = False
dont_copy = False
for f in f_list:
out = f(deal)
if out is None:
is_bad = True
dont_copy = True
break
if out is True:
continue
if out is False:
is_bad = True
continue
if not is_bad:
trace.append(deal)
if not dont_copy:
new_deck.append(deal)
deck = new_deck
new_deck = []
self.trace = trace
def report(self):
if self.trace is None:
self.eval()
return self.get_player_data()
def get_player_data(self):
out = []
for i in range(self.n_players):
out.append({})
out[i]["role"] = dd(float)
out[i]["side"] = dd(float)
progress = progressbar.ProgressBar(widgets=["Reticulating splines: ", progressbar.Bar(marker="*"), " ", progressbar.ETA()])
size = len(self.trace) * 1.0
for deal in progress(self.trace):
for i, card in enumerate(deal):
role, side = card
out[i]["role"][role] += 1.0 / size
out[i]["side"][side] += 1.0 / size
for i in range(self.n_players):
out[i]["role"] = dict(out[i]["role"])
out[i]["side"] = dict(out[i]["side"])
return out
def _aggregate(self, l, i):
out = dd(float)
size = len(l) * 1.0
for deal in l:
out[deal[i]] += 1 / size
return dict(out)
def print_report(self):
pp = pprint.PrettyPrinter(indent = 4)
pp.pprint(self.report())
base_game = DeceptionGame(ResistanceGame(5))
#base_game.add_known_role(0, "G1")
#base_game.add_known_alliance(1, False)
#base_game.player_sees_player_and_claims(0, 1, True)
#base_game.player_sees_player_and_claims(1, 2, False)
#base_game.player_sees_player_and_claims(2, 3, False)
base_game.do_vote([1,2], [0,1,1,0,1], 1)
base_game.do_mission([1,2], 0, False, 1)
base_game.do_vote([0, 1, 2], [1,1,1,0,1], 2)
base_game.do_mission([0, 1, 2], 1, False, 2)
base_game.do_vote([3, 4], [0,0,1,1,1], 3)
base_game.do_mission([3, 4], 0, False, 3)
base_game.do_vote([3, 4], [0,0,1,1,1], 4)
base_game.do_mission([0, 3, 4], 1, False, 4)
#base_game.do_vote([1, 3, 4], [0,1,1,0,1], 5)
#base_game.do_mission([1, 3, 4], 1, True, 5)
base_game.eval(100)
base_game.print_report()

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import pymc as mc
import functools
import itertools
from collections import defaultdict as dd
import pprint
import numpy
def ResistanceGame(n_players):
full_set = [("G1", True), ("G2", True), ("G3", True),
("E1", False), ("E2", False), ("G4", True),
("E3", False), ("G5", True), ("G6", True), ("E4", False)]
return full_set[:n_players]
def BuildNbyNBeliefMatrix(id, n_players):
all_vars = []
matrix = []
for player_id in range(n_players):
vec = mc.Uniform("%d_trust_%d" % (id, player_id),
0.0, 1.0,
trace=True,
size=n_players,
value=(numpy.ones(n_players) * (1.0 / n_players)))
matrix.append(vec)
all_vars.append(vec)
# Enforce that there's only one role for each player.
for i, player_vec in enumerate(matrix):
@mc.potential
def obs_one_role(player_vec=player_vec):
return mc.distributions.normal_like(
sum(player_vec),
1.0,
100)
all_vars.append(obs_one_role)
# Enforce that there's only one player per role.
for i in range(n_players):
@mc.potential
def obs_one_per_role(matrix=matrix):
return mc.distributions.normal_like(
sum([vec[i] for vec in matrix]),
1.0,
100)
all_vars.append(obs_one_per_role)
return matrix, all_vars
class Player(object):
''' Representing all that the player is and knows '''
def __init__(self, id, game):
self.id = id
self.game = game
self.all_vars = []
self.build_belief_matrix()
def side(self):
return self.side_var
def role(self):
return self.role_var
def build_belief_matrix(self):
self.matrix, self.all_vars = \
BuildNbyNBeliefMatrix(self.id, self.game.n_players)
# Enforce that the player completely knows her own role.
@mc.potential
def knows(deck_var=self.game.deck_var, matrix=self.matrix):
role_id = self.game.player_role_for_deck_var(deck_var, self.id)
return mc.distributions.normal_like(
matrix[self.id][role_id],
1.0,
100)
self.all_vars.append(knows)
def get_role_belief_for(self, player_id, role_id):
return self.matrix[player_id][role_id]
class DeceptionGame(object):
def __init__(self, player_array):
self.player_array = player_array
self.all_permutations = list(itertools.permutations(player_array))
self.deck_var = mc.DiscreteUniform("deal", 0,
len(self.all_permutations) - 1)
self.n_players = len(player_array)
self.model = None
self.player_side_vars = []
self.player_role_vars = []
self.role_ids = {}
self.role_side = {}
i = 0
for card in player_array:
role, good = card
self.role_ids[role] = i
self.role_side[i] = good
i += 1
def player_side(x, role):
if self.role_side[role]:
return True
return False
def player_role(x, deck_var=self.deck_var):
role_str = self.all_permutations[deck_var][x][0]
return int(self.role_ids[role_str])
self.players = []
for x in range(self.n_players):
role = mc.Deterministic(eval=functools.partial(player_role, x),
name="player_role_%d" % x,
parents={"deck_var": self.deck_var},
doc="Who is player %d?" % x,
dtype=int,
trace=True,
plot=False)
self.player_role_vars.append(role)
side = mc.Deterministic(eval=functools.partial(
player_side, x),
name="player_side_%d" % x,
parents={"role": role},
doc="Is player %d good?" % x,
dtype=bool,
trace=True,
plot=False)
self.player_side_vars.append(side)
#self.players.append(Player(x, self))
self.lady_will_duck = mc.Bernoulli("lady_will_duck", 0.5)
self.team_duck = [None] * 5
self.team_duck[0] = mc.Bernoulli("team_duck_1", 0.8)
self.team_duck[1] = mc.Bernoulli("team_duck_2", 0.6)
self.team_duck[2] = mc.Bernoulli("team_duck_3", 0.4)
self.team_duck[3] = mc.Bernoulli("team_duck_4", 0.2)
self.team_duck[4] = mc.Bernoulli("team_duck_5", 0.0)
self.observations = []
self.tid = 0
def get_role_id_for(self, name):
return self.role_ids[name]
def role_id_is_good(self, role_id):
return self.role_side[role_id]
def player_good_for_deck_var(self, index, player):
return self.all_permutations[index][player][1]
def player_role_for_deck_var(self, index, player):
return self.get_role_id_for(self.all_permutations[index][player][0])
def player_sees_player_and_claims(self, player_view, player_give, claim):
transaction = []
total_len = len(self.all_permutations)
for i in range(len(self.all_permutations)):
self.deck_var.value = (5119 * i) % total_len
try:
@mc.potential
def claims(deck_var=self.deck_var, will_duck=self.lady_will_duck):
if self.player_good_for_deck_var(deck_var, player_view) or will_duck:
if self.player_good_for_deck_var(deck_var, player_give) == claim:
return 0.0
else:
return -numpy.inf
else:
if self.player_good_for_deck_var(deck_var, player_give) == claim:
return -numpy.inf
else:
return 0.0
return -numpy.inf
except mc.ZeroProbability:
continue
transaction.append(claims)
self.observations.append(transaction)
self.tid += 1
def add_known_side(self, player_id, is_good):
transaction = []
total_len = len(self.all_permutations)
for i in range(len(self.all_permutations)):
self.deck_var.value = (5119 * i) % total_len
try:
@mc.potential
def obs(deck_var=self.deck_var):
x = float(self.player_good_for_deck_var(deck_var, player_id)) - \
float(is_good)
return mc.distributions.normal_like(x, 0.0, 10000)
except mc.ZeroProbability:
continue
break
transaction.append(obs)
self.observations.append(transaction)
self.tid += 1
def add_known_role(self, player_id, role_str):
transaction = []
known_role_id = self.get_role_id_for(role_str)
total_len = len(self.all_permutations)
for i in range(len(self.all_permutations)):
self.deck_var.value = (5119 * i) % total_len
try:
@mc.potential
def role(deck_var=self.deck_var):
x = self.player_role_for_deck_var(deck_var, player_id) \
- known_role_id
return mc.distributions.normal_like(x, 0.0, 10000)
except mc.ZeroProbability:
continue
break
transaction.append(role)
self.observations.append(transaction)
self.tid += 1
def build_team(self, team, votes, required_success):
transaction = []
for voter in range(self.n_players):
total_len = len(self.all_permutations)
for i in range(len(self.all_permutations)):
self.deck_var.value = (5119 * i) % total_len
try:
@mc.potential
def build_team(deck_var=self.deck_var):
voter_is_good = self.player_good_for_deck_var(deck_var, voter)
if voter_is_good:
return mc.distributions.normal_like(x - n_successes, 0.0, 1000)
else:
return mc.distributions.normal_like(x - required_success, len(team) -
team_votes.name = "voter_%d_tid%d" % (voter, self.tid)
except mc.ZeroProbability:
continue
break
transaction.append(team_votes)
self.observations.append(transaction)
self.tid += 1
def team_and_successes(self, team, n_successes, mandatory, r):
transaction = []
total_len = len(self.all_permutations)
for i in range(len(self.all_permutations)):
self.deck_var.value = (5119 * i) % total_len
try:
@mc.potential
def team_votes(deck_var=self.deck_var, team_duck=self.team_duck[r - 1]):
team_allegience = [self.player_good_for_deck_var(deck_var, x)
for x in team]
for i, al in enumerate(team_allegience):
if al is True:
continue
else:
if not mandatory and team_duck:
print "Ducking"
team_allegience[i] = True
x = sum([float(x) for x in team_allegience])
return mc.distributions.normal_like(x - n_successes, 0.0, 1000)
team_votes.name = "team_votes_tid%d" % self.tid
except mc.ZeroProbability:
continue
break
transaction.append(team_votes)
self.observations.append(transaction)
self.tid += 1
def eval(self, length=60000, burn=30):
mcmc = mc.MCMC(self._build_model_list())
mcmc.sample(length, burn)
self.model = mcmc
def eval_model_sans_players(self, length=40000, burn=0):
mcmc = mc.MCMC(self._build_restricted_model_list())
#mcmc.use_step_method(mc.DiscreteMetropolis, self.deck_var, proposal_distribution='Prior')
mcmc.sample(length, burn, tune_throughout=False)
def report(self):
if self.model is None:
self.eval()
out = []
for i in range(self.n_players):
out.append(self.get_player_data(i))
return out
def get_player_data(self, i):
out = {}
role_key = "player_role_%d" % i
side_key = "player_side_%d" % i
temp_role = self._aggregate(list(self.model.trace(role_key)))
out["role"] = {}
for k, v in temp_role.iteritems():
out["role"][self.player_array[int(k)][0]] = v
out["side"] = self._aggregate(list(self.model.trace(side_key)))
return out
def _aggregate(self, l):
out = dd(float)
size = len(l) * 1.0
for x in l:
out[x] += 1 / size
return dict(out)
def print_report(self):
pp = pprint.PrettyPrinter(indent=4)
pp.pprint(self.report())
def _build_restricted_model_list(self):
out = []
out.append(self.deck_var)
out.extend(self.player_side_vars[:])
out.extend(self.player_role_vars[:])
return out
def _build_model_list(self):
out = []
out.append(self.deck_var)
out.append(self.lady_will_duck)
out.extend(self.player_side_vars[:])
out.extend(self.player_role_vars[:])
for duck in self.team_duck:
out.append(duck)
for player in self.players:
out.extend(player.all_vars[:])
flattened = [item for transaction in self.observations
for item in transaction]
out.extend(flattened[:])
return list(set(out))
base_game = DeceptionGame(ResistanceGame(5))
#base_game.add_known_role(0, "G1")
base_game.build_team([0, 1, 2], [1, 0, 1, 1, 0], 1)
base_game.team_and_successes([0, 1, 2], 2, 1, False)
#base_game.team_and_successes([0, 1, 2], 2, 2, False)
#base_game.player_sees_player_and_claims(0, 1, False)
#base_game.add_known_side(1, False)
base_game.eval()
base_game.print_report()

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