def testEquilibriumSelectionPD(self): a_pd = BimatrixTwoStrategyGame( -1.0, -1.0, -4.0, 0.0, 0.0, -4.0, -3.0, -3.0) # equilibrium is unique self.assertEqual(len(a_pd.find_nash()), 1) # D,D self.assertTrue(a_pd.find_unique_equilibrium() == (0.0, 0.0)) # no risk dominant try: a_pd.find_risk_dominant_equilibrium(atol=10e-3) except NoEquilibriumSelected: self.assertTrue(True) else: self.assertTrue(False)
def testEquilibriumSelectionBattleOfTheSexes(self): battle = BimatrixTwoStrategyGame.battleofthesexes() self.assertEqual(len(battle.find_nash()), 3) try: battle.find_unique_equilibrium() except NoEquilibriumSelected: self.assertTrue(True) else: self.assertTrue(False)
def testRiskDominanceOffDiagonal(self): test_game = BimatrixTwoStrategyGame(6.0,6.0,4.9,7.0,6.1,4.0,3.0,3.0) self.assertEqual(test_game.find_risk_dominant_equilibrium(), (1.0, 0.0))
def testEquilibriumSelectionMatchingPennies(self): pennies = BimatrixTwoStrategyGame.matchingpennies() self.assertEqual(len(pennies.find_nash()), 1) self.assertEqual(pennies.find_nash()[0], (0.5, 0.5))
def testEquilibriumSelectionCoordinationGame(self): a_coordination_game = BimatrixTwoStrategyGame( 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0) self.assertEqual(len(a_coordination_game.find_nash()), 3) self.assertEqual( a_coordination_game.find_unique_equilibrium(), (0.5, 0.5))
def testSymmetryChecker(self): symmetric_game = BimatrixTwoStrategyGame.fromsymmetricpayoffs( random.rand(), random.rand(), random.rand(), random.rand()) self.assertTrue(symmetric_game.is_symmetric())
def testUniqueEquilibrium(self): game_with_unique_equilibrium = BimatrixTwoStrategyGame( a1=1, a2=4, b1=3, b2=3, c1=2, c2=2, d1=4, d2=1) self.assertEqual(1, len(game_with_unique_equilibrium.find_nash()))