def test_normalformgame_constant_payoffs():
g = NormalFormGame((2, 2))
ok_(g.is_nash((0, 0)))
ok_(g.is_nash((0, 1)))
ok_(g.is_nash((1, 0)))
ok_(g.is_nash((1, 1)))
class TestNormalFormGame_Sym2p:
"""Test the methods of NormalFormGame with symmetric two players"""
def setUp(self):
"""Setup a NormalFormGame instance"""
coordination_game_matrix = [[4, 0], [3, 2]]
self.g = NormalFormGame(coordination_game_matrix)
def test_getitem(self):
assert_array_equal(self.g[0, 1], [0, 3])
def test_is_nash_pure(self):
ok_(self.g.is_nash((0, 0)))
def test_is_nash_mixed(self):
ok_(self.g.is_nash(([2 / 3, 1 / 3], [2 / 3, 1 / 3])))
class TestNormalFormGame_Asym2p:
"""Test the methods of NormalFormGame with asymmetric two players"""
def setUp(self):
"""Setup a NormalFormGame instance"""
matching_pennies_bimatrix = [[(1, -1), (-1, 1)], [(-1, 1), (1, -1)]]
self.g = NormalFormGame(matching_pennies_bimatrix)
def test_getitem(self):
assert_array_equal(self.g[1, 0], [-1, 1])
def test_is_nash_against_pure(self):
ok_(not self.g.is_nash((0, 0)))
def test_is_nash_against_mixed(self):
ok_(self.g.is_nash(([1 / 2, 1 / 2], [1 / 2, 1 / 2])))
class TestNormalFormGame_3p:
"""Test the methods of NormalFormGame with three players"""
def setUp(self):
"""Setup a NormalFormGame instance"""
payoffs_2opponents = [[[3, 6], [4, 2]], [[1, 0], [5, 7]]]
player = Player(payoffs_2opponents)
self.g = NormalFormGame([player for i in range(3)])
def test_getitem(self):
assert_array_equal(self.g[0, 0, 1], [6, 4, 1])
def test_is_nash_pure(self):
ok_(self.g.is_nash((0, 0, 0)))
ok_(not self.g.is_nash((0, 0, 1)))
def test_is_nash_mixed(self):
p = (1 + np.sqrt(65)) / 16
ok_(self.g.is_nash(([1 - p, p], [1 - p, p], [1 - p, p])))
class TestNormalFormGame_1p:
"""Test for degenerate NormalFormGame with a single player"""
def setUp(self):
"""Setup a NormalFormGame instance"""
data = [[0], [1], [1]]
self.g = NormalFormGame(data)
def test_construction(self):
"""Degenerate game: construction"""
ok_(self.g.N == 1)
assert_array_equal(self.g.players[0].payoff_array, [0, 1, 1])
def test_getitem(self):
"""Degenerate game: __getitem__"""
eq_(self.g[0], 0)
def test_is_nash_pure(self):
"""Degenerate game: is_nash with pure action"""
ok_(self.g.is_nash((1, )))
ok_(not self.g.is_nash((0, )))
def test_is_nash_mixed(self):
"""Degenerate game: is_nash with mixed action"""
ok_(self.g.is_nash(([0, 1 / 2, 1 / 2], )))
