class TestPlayer_1opponent: """Test the methods of Player with one opponent player""" def setUp(self): """Setup a Player instance""" coordination_game_matrix = [[4, 0], [3, 2]] self.player = Player(coordination_game_matrix) def test_best_response_against_pure(self): eq_(self.player.best_response(1), 1) def test_best_response_against_mixed(self): eq_(self.player.best_response([1/2, 1/2]), 1) def test_best_response_list_when_tie(self): """best_response with tie_breaking=False""" assert_array_equal( sorted(self.player.best_response([2/3, 1/3], tie_breaking=False)), sorted([0, 1]) ) def test_best_response_with_random_tie_breaking(self): """best_response with tie_breaking='random'""" ok_(self.player.best_response([2/3, 1/3], tie_breaking='random') in [0, 1]) seed = 1234 br0 = self.player.best_response([2/3, 1/3], tie_breaking='random', random_state=seed) br1 = self.player.best_response([2/3, 1/3], tie_breaking='random', random_state=seed) eq_(br0, br1) def test_best_response_with_smallest_tie_breaking(self): """best_response with tie_breaking='smallest' (default)""" eq_(self.player.best_response([2/3, 1/3]), 0) def test_best_response_with_payoff_perturbation(self): """best_response with payoff_perturbation""" eq_(self.player.best_response([2/3, 1/3], payoff_perturbation=[0, 0.1]), 1) eq_(self.player.best_response([2, 1], # int payoff_perturbation=[0, 0.1]), 1) def test_is_best_response_against_pure(self): ok_(self.player.is_best_response(0, 0)) def test_is_best_response_against_mixed(self): ok_(self.player.is_best_response([1/2, 1/2], [2/3, 1/3])) def test_is_dominated(self): for action in range(self.player.num_actions): for method in LP_METHODS: eq_(self.player.is_dominated(action, method=method), False) def test_dominated_actions(self): for method in LP_METHODS: eq_(self.player.dominated_actions(method=method), [])
class TestPlayer_0opponents: """Test for trivial Player with no opponent player""" def setUp(self): """Setup a Player instance""" self.payoffs = [0, 1, -1] self.player = Player(self.payoffs) self.best_response_action = 1 self.dominated_actions = [0, 2] def test_payoff_vector(self): """Trivial player: payoff_vector""" assert_array_equal(self.player.payoff_vector(None), self.payoffs) def test_is_best_response(self): """Trivial player: is_best_response""" ok_(self.player.is_best_response(self.best_response_action, None)) def test_best_response(self): """Trivial player: best_response""" eq_(self.player.best_response(None), self.best_response_action) def test_is_dominated(self): """Trivial player: is_dominated""" for action in range(self.player.num_actions): eq_(self.player.is_dominated(action), (action in self.dominated_actions)) def test_dominated_actions(self): """Trivial player: dominated_actions""" eq_(self.player.dominated_actions(), self.dominated_actions)
class TestPlayer_2opponents: """Test the methods of Player with two opponent players""" def setUp(self): """Setup a Player instance""" payoffs_2opponents = [[[3, 6], [4, 2]], [[1, 0], [5, 7]]] self.player = Player(payoffs_2opponents) def test_payoff_vector_against_pure(self): assert_array_equal(self.player.payoff_vector((0, 1)), [6, 0]) def test_is_best_response_against_pure(self): ok_(not self.player.is_best_response(0, (1, 0))) def test_best_response_against_pure(self): eq_(self.player.best_response((1, 1)), 1) def test_best_response_list_when_tie(self): """ best_response against a mixed action profile with tie_breaking=False """ assert_array_equal( sorted( self.player.best_response(([3 / 7, 4 / 7], [1 / 2, 1 / 2]), tie_breaking=False)), sorted([0, 1])) def test_is_dominated(self): for action in range(self.player.num_actions): for method in LP_METHODS: eq_(self.player.is_dominated(action, method=method), False) def test_dominated_actions(self): for method in LP_METHODS: eq_(self.player.dominated_actions(method=method), [])
def test_player_corner_cases(): n, m = 3, 4 player = Player(np.zeros((n, m))) for action in range(n): eq_(player.is_best_response(action, [1 / m] * m), True) for method in LP_METHODS: eq_(player.is_dominated(action, method=method), False) e = 1e-8 * 2 player = Player([[-e, -e], [1, -1], [-1, 1]]) action = 0 eq_(player.is_best_response(action, [1 / 2, 1 / 2], tol=e), True) eq_(player.is_best_response(action, [1 / 2, 1 / 2], tol=e / 2), False) for method in LP_METHODS: eq_(player.is_dominated(action, tol=2 * e, method=method), False) eq_(player.dominated_actions(tol=2 * e, method=method), []) eq_(player.is_dominated(action, tol=e / 2, method=method), True) eq_(player.dominated_actions(tol=e / 2, method=method), [action])
def test_player_corner_cases(): n, m = 3, 4 player = Player(np.zeros((n, m))) for action in range(n): eq_(player.is_best_response(action, [1/m]*m), True) for method in LP_METHODS: eq_(player.is_dominated(action, method=method), False) e = 1e-8 player = Player([[-e, -e], [1, -1], [-1, 1]]) action = 0 eq_(player.is_best_response(action, [1/2, 1/2], tol=e), True) eq_(player.is_best_response(action, [1/2, 1/2], tol=e/2), False) for method in LP_METHODS: eq_(player.is_dominated(action, tol=2*e, method=method), False) eq_(player.dominated_actions(tol=2*e, method=method), []) eq_(player.is_dominated(action, tol=e/2, method=method), True) eq_(player.dominated_actions(tol=e/2, method=method), [action])
def test_player_corner_cases(): n, m = 3, 4 player = Player(np.zeros((n, m))) for action in range(n): assert_(player.is_best_response(action, [1 / m] * m)) for method in LP_METHODS: assert_(not player.is_dominated(action, method=method)) e = 1e-8 * 2 player = Player([[-e, -e], [1, -1], [-1, 1]]) action = 0 assert_(player.is_best_response(action, [1 / 2, 1 / 2], tol=e)) assert_(not player.is_best_response(action, [1 / 2, 1 / 2], tol=e / 2)) for method in LP_METHODS: assert_(not player.is_dominated(action, tol=2 * e, method=method)) assert_(player.dominated_actions(tol=2 * e, method=method) == []) assert_(player.is_dominated(action, tol=e / 2, method=method)) assert_(player.dominated_actions(tol=e / 2, method=method) == [action])
class TestPlayer_2opponents: """Test the methods of Player with two opponent players""" def setUp(self): """Setup a Player instance""" payoffs_2opponents = [[[3, 6], [4, 2]], [[1, 0], [5, 7]]] self.player = Player(payoffs_2opponents) def test_delete_action(self): N = self.player.num_opponents + 1 action_to_delete = 0 actions_to_remain = \ np.setdiff1d(np.arange(self.player.num_actions), action_to_delete) for i in range(N): player_new = self.player.delete_action(action_to_delete, i) assert_array_equal( player_new.payoff_array, self.player.payoff_array.take(actions_to_remain, axis=i) ) def test_payoff_vector_against_pure(self): assert_array_equal(self.player.payoff_vector((0, 1)), [6, 0]) def test_is_best_response_against_pure(self): ok_(not self.player.is_best_response(0, (1, 0))) def test_best_response_against_pure(self): eq_(self.player.best_response((1, 1)), 1) def test_best_response_list_when_tie(self): """ best_response against a mixed action profile with tie_breaking=False """ assert_array_equal( sorted(self.player.best_response(([3/7, 4/7], [1/2, 1/2]), tie_breaking=False)), sorted([0, 1]) ) def test_is_dominated(self): for action in range(self.player.num_actions): for method in LP_METHODS: eq_(self.player.is_dominated(action, method=method), False) def test_dominated_actions(self): for method in LP_METHODS: eq_(self.player.dominated_actions(method=method), [])
class TestPlayer_1action: def setUp(self): """Setup a Player instance""" self.payoffs = [[0, 1]] self.player = Player(self.payoffs) def test_is_dominated(self): for action in range(self.player.num_actions): for method in LP_METHODS: eq_(self.player.is_dominated(action, method=method), False) def test_dominated_actions(self): for method in LP_METHODS: eq_(self.player.dominated_actions(method=method), [])
class TestPlayer_2opponents: """Test the methods of Player with two opponent players""" def setup(self): """Setup a Player instance""" payoffs_2opponents = [[[3, 6], [4, 2]], [[1, 0], [5, 7]]] self.player = Player(payoffs_2opponents) def test_delete_action(self): N = self.player.num_opponents + 1 action_to_delete = 0 actions_to_remain = \ np.setdiff1d(np.arange(self.player.num_actions), action_to_delete) for i in range(N): player_new = self.player.delete_action(action_to_delete, i) assert_array_equal( player_new.payoff_array, self.player.payoff_array.take(actions_to_remain, axis=i)) def test_payoff_vector_against_pure(self): assert_array_equal(self.player.payoff_vector((0, 1)), [6, 0]) def test_is_best_response_against_pure(self): assert_(not self.player.is_best_response(0, (1, 0))) def test_best_response_against_pure(self): assert_(self.player.best_response((1, 1)) == 1) def test_best_response_list_when_tie(self): """ best_response against a mixed action profile with tie_breaking=False """ assert_array_equal( sorted( self.player.best_response(([3 / 7, 4 / 7], [1 / 2, 1 / 2]), tie_breaking=False)), sorted([0, 1])) def test_is_dominated(self): for action in range(self.player.num_actions): for method in LP_METHODS: assert_(not self.player.is_dominated(action, method=method)) def test_dominated_actions(self): for method in LP_METHODS: assert_(self.player.dominated_actions(method=method) == [])
class TestPlayer_0opponents: """Test for trivial Player with no opponent player""" def setUp(self): """Setup a Player instance""" self.payoffs = [0, 1, -1] self.player = Player(self.payoffs) self.best_response_action = 1 self.dominated_actions = [0, 2] def test_delete_action(self): N = self.player.num_opponents + 1 actions_to_delete = [0, 2] actions_to_remain = \ np.setdiff1d(np.arange(self.player.num_actions), actions_to_delete) for i in range(N): player_new = self.player.delete_action(actions_to_delete, i) assert_array_equal( player_new.payoff_array, self.player.payoff_array.take(actions_to_remain, axis=i) ) def test_payoff_vector(self): """Trivial player: payoff_vector""" assert_array_equal(self.player.payoff_vector(None), self.payoffs) def test_is_best_response(self): """Trivial player: is_best_response""" ok_(self.player.is_best_response(self.best_response_action, None)) def test_best_response(self): """Trivial player: best_response""" eq_(self.player.best_response(None), self.best_response_action) def test_is_dominated(self): """Trivial player: is_dominated""" for action in range(self.player.num_actions): eq_(self.player.is_dominated(action), (action in self.dominated_actions)) def test_dominated_actions(self): """Trivial player: dominated_actions""" eq_(self.player.dominated_actions(), self.dominated_actions)
class TestPlayer_0opponents: """Test for trivial Player with no opponent player""" def setup(self): """Setup a Player instance""" self.payoffs = [0, 1, -1] self.player = Player(self.payoffs) self.best_response_action = 1 self.dominated_actions = [0, 2] def test_delete_action(self): N = self.player.num_opponents + 1 actions_to_delete = [0, 2] actions_to_remain = \ np.setdiff1d(np.arange(self.player.num_actions), actions_to_delete) for i in range(N): player_new = self.player.delete_action(actions_to_delete, i) assert_array_equal( player_new.payoff_array, self.player.payoff_array.take(actions_to_remain, axis=i)) def test_payoff_vector(self): """Trivial player: payoff_vector""" assert_array_equal(self.player.payoff_vector(None), self.payoffs) def test_is_best_response(self): """Trivial player: is_best_response""" assert_(self.player.is_best_response(self.best_response_action, None)) def test_best_response(self): """Trivial player: best_response""" assert_(self.player.best_response(None) == self.best_response_action) def test_is_dominated(self): """Trivial player: is_dominated""" for action in range(self.player.num_actions): assert_( self.player.is_dominated(action) == ( action in self.dominated_actions)) def test_dominated_actions(self): """Trivial player: dominated_actions""" assert_(self.player.dominated_actions() == self.dominated_actions)
class TestPlayer_1opponent: """Test the methods of Player with one opponent player""" def setup(self): """Setup a Player instance""" coordination_game_matrix = [[4, 0], [3, 2]] self.player = Player(coordination_game_matrix) def test_delete_action(self): N = self.player.num_opponents + 1 action_to_delete = 0 actions_to_remain = \ np.setdiff1d(np.arange(self.player.num_actions), action_to_delete) for i in range(N): player_new = self.player.delete_action(action_to_delete, i) assert_array_equal( player_new.payoff_array, self.player.payoff_array.take(actions_to_remain, axis=i)) def test_best_response_against_pure(self): assert_(self.player.best_response(1) == 1) def test_best_response_against_mixed(self): assert_(self.player.best_response([1 / 2, 1 / 2]) == 1) def test_best_response_list_when_tie(self): """best_response with tie_breaking=False""" assert_array_equal( sorted( self.player.best_response([2 / 3, 1 / 3], tie_breaking=False)), sorted([0, 1])) def test_best_response_with_random_tie_breaking(self): """best_response with tie_breaking='random'""" assert_( self.player.best_response([2 / 3, 1 / 3], tie_breaking='random') in [0, 1]) seed = 1234 br0 = self.player.best_response([2 / 3, 1 / 3], tie_breaking='random', random_state=seed) br1 = self.player.best_response([2 / 3, 1 / 3], tie_breaking='random', random_state=seed) assert_(br0 == br1) def test_best_response_with_smallest_tie_breaking(self): """best_response with tie_breaking='smallest' (default)""" assert_(self.player.best_response([2 / 3, 1 / 3]) == 0) def test_best_response_with_payoff_perturbation(self): """best_response with payoff_perturbation""" assert_( self.player.best_response([2 / 3, 1 / 3], payoff_perturbation=[0, 0.1]) == 1) assert_( self.player.best_response( [2, 1], # int payoff_perturbation=[0, 0.1]) == 1) def test_is_best_response_against_pure(self): assert_(self.player.is_best_response(0, 0)) def test_is_best_response_against_mixed(self): assert_(self.player.is_best_response([1 / 2, 1 / 2], [2 / 3, 1 / 3])) def test_is_dominated(self): for action in range(self.player.num_actions): for method in LP_METHODS: assert_(not self.player.is_dominated(action, method=method)) def test_dominated_actions(self): for method in LP_METHODS: assert_(self.player.dominated_actions(method=method) == [])