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Barak Michener 2013-07-26 22:23:34 -04:00
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# Lady of the Lake
### _Strange women lying in ponds, distributing swords, is no basis for a system of government!_
It will occur to anyone who plays enough [Resistance](link) or [Avalon](link) that there's a great deal of probability afoot. If you've ever said "There's a 50/50 chance this team is bad!" you know what I'm talking about.
Lady of the Lake is a tool to track these games, build a Bayesian model of the situation as it stands, and, hopefully, deduce exactly what everyone's role is.
In the future, it may also turn into a full-blown AI.
Written in Python (fortunately thematic!) and using the fantastic pyMC toolkit.
### _There are ways of telling whether she is a witch!_
(describe model)
###

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requirements.txt Normal file
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argparse==1.2.1
clint==0.3.1
numpy==1.7.1
pymc==2.2
wsgiref==0.1.2

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import pymc as mc
import functools
import itertools
from collections import defaultdict as dd
import pprint
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.deck_var = mc.DiscreteUniform("deal", 0, len(self.all_permutations) - 1)
self.n_players = len(player_array)
self.model = None
self.player_alliance_vars = []
self.player_role_vars = []
self.role_ids = {}
i = 0
for card in player_array:
role, good = card
self.role_ids[role] = i
i += 1
def player_alliance(x, deck_var = self.deck_var):
return self.all_permutations[deck_var][x][1]
def player_role(x, deck_var = self.deck_var):
role_str = self.all_permutations[deck_var][x][0]
return self.role_ids[role_str]
for x in range(self.n_players):
alliance = mc.Deterministic(eval = functools.partial(player_alliance, x),
name = "player_alliance_%d" % x,
parents = { "deck_var" : self.deck_var },
doc = "Is player %d good?" % x,
dtype = bool,
trace = True,
plot = False)
self.player_alliance_vars.append(alliance)
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 = str,
trace = True,
plot = False)
self.player_role_vars.append(role)
self.observations = []
self.tid = 0
def add_known_alliance(self, player_id, is_good):
transaction = []
obs = mc.Bernoulli("player_seen_tid%d" % self.tid,
self.player_alliance_vars[player_id],
value = is_good,
observed = True)
transaction.append(obs)
self.observations.append(transaction)
self.tid += 1
def add_known_role(self, player_id, role_str):
transaction = []
obs = mc.Bernoulli("player_seen_role_tid%d" % self.tid,
self.player_role_vars[player_id],
value = self.role_ids[role_str],
observed = True)
transaction.append(obs)
self.observations.append(transaction)
self.tid += 1
def eval(self, length=40000):
mcmc = mc.MCMC(self._build_model_list())
mcmc.sample(length, 2000)
self.model = mcmc
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
alliance_key = "player_alliance_%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["alliance"] = self._aggregate(list(self.model.trace(alliance_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_model_list(self):
out = []
out.append(self.deck_var)
out.extend(self.player_alliance_vars[:])
out.extend(self.player_role_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.eval(10000)
base_game.add_known_role(0, "G1")
base_game.add_known_alliance(1, False)
base_game.eval()
base_game.print_report()