Info: numba.jit seems to be available. For depth = 2 ... Starting to explore every transitions up-to depth 2 for this root state: State : M = 2, K = 3 and t = 0, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N Using these policies: - Player #0/2 uses Selfish_UCB_Ubar (which is )... - Player #1/2 uses Selfish_UCB_Ubar (which is )... Using these arms: - Arm #0/3 has mean mu_1 ... - Arm #1/3 has mean mu_2 ... - Arm #2/3 has mean mu_3 ... For depth = 2, exploring from this node : State : M = 2, K = 3 and t = 0, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N we saw 27 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 1. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 1.] [ 1. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 1. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N we saw 10 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 1.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 1. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 1. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 0. 1.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N we saw 10 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 1.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 1. 0.] [ 1. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 0. 1.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N we saw 13 different states... For depth = 1, exploring from this node : State : M = 2, K = 3 and t = 1, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N we saw 10 different states... There are 144 unique leafs for depth 2... Leaf with probability = mu_1*mu_3*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 1. 0. 0.]] =: N Leaf with probability = -mu_1*mu_2**2*(mu_1 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 1. 0.] [ 0. 1. 0.]] =: N Leaf with probability = (mu_1**2*mu_2**2 - 2*mu_1**2*mu_2 + mu_1**2 - 2*mu_1*mu_2**2 + 4*mu_1*mu_2 - 2*mu_1 + mu_2**2 - 2*mu_2 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = (mu_2**2*mu_3**2 - 2*mu_2**2*mu_3 + mu_2**2 - 2*mu_2*mu_3**2 + 4*mu_2*mu_3 - 2*mu_2 + mu_3**2 - 2*mu_3 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = mu_1*mu_2*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 1. 0.] [ 0. 0. 0.]] =: N Leaf with probability = mu_2*mu_3*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 0. 1.]] =: N Leaf with probability = mu_2**2*mu_3**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 1.] [ 0. 1. 1.]] =: N Leaf with probability = mu_1*mu_2*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_1*mu_3**2*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 1. 0. 1.]] =: N Leaf with probability = -mu_2*(mu_2 - 1)*(mu_3 - 1)**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_2*(mu_1 - 1)**2*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_1*(mu_1 - 1)*(mu_3 - 1)**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 0. 0.]] =: N Leaf with probability = mu_1*mu_3*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 0. 1.]] =: N Leaf with probability = -mu_3*(mu_1 - 1)*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 1.]] =: N Leaf with probability = mu_2**2*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_2*(mu_1 - 1)*(mu_3**2 - 2*mu_3 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 0. 0.]] =: N Leaf with probability = mu_2*mu_3*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 1. 1.]] =: N Leaf with probability = mu_1*mu_2*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 1. 0.]] =: N Leaf with probability = mu_2*mu_3*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 1. 1.]] =: N Leaf with probability = -mu_1*(mu_2 - 1)*(mu_3**2 - 2*mu_3 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 0. 0.]] =: N Leaf with probability = mu_2*mu_3*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_1*mu_2*mu_3*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 1. 0. 1.]] =: N Leaf with probability = -mu_1*mu_2**2*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 1. 0.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_1*mu_2*mu_3*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 1.] [ 1. 0. 0.]] =: N Leaf with probability = -mu_2*mu_3**2*(mu_1 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 1.] [ 0. 0. 1.]] =: N Leaf with probability = -mu_1*(mu_1 - 1)*(mu_2 - 1)**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = mu_2*mu_3*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 0. 1.]] =: N Leaf with probability = mu_1*mu_2*(mu_3**2 - 2*mu_3 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_1*mu_2*mu_3*(mu_1 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 1. 0.] [ 0. 0. 1.]] =: N Leaf with probability = -mu_2*(mu_1 - 1)*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 1. 0.]] =: N Leaf with probability = mu_2**2*(mu_3 - 1)**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_2**2*mu_3*(mu_1 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 1. 1.]] =: N Leaf with probability = (mu_2 - 1)*(mu_3 - 1)*(mu_1**2 - 2*mu_1 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_1*mu_3**2*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 1.] [ 0. 0. 1.]] =: N Leaf with probability = mu_1*mu_3*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 0. 1.]] =: N Leaf with probability = -mu_1**2*mu_2*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 1. 0.] [ 1. 0. 0.]] =: N Leaf with probability = mu_1*mu_2*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 1. 0.]] =: N Leaf with probability = -mu_1*(mu_1 - 1)*(mu_2 - 1)**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 0. 0.]] =: N Leaf with probability = mu_1*mu_3*(mu_2**2 - 2*mu_2 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 0. 1.]] =: N Leaf with probability = -mu_2*(mu_3 - 1)*(mu_1**2 - 2*mu_1 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_1**2*mu_2*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 1. 1. 0.]] =: N Leaf with probability = mu_1*mu_3*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 0. 1.]] =: N Leaf with probability = -mu_2*(mu_1 - 1)**2*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 0. 0.]] =: N Leaf with probability = mu_2*mu_3*(mu_1**2 - 2*mu_1 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 0. 1.]] =: N Leaf with probability = mu_1*mu_2*mu_3**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 1.] [ 0. 1. 1.]] =: N Leaf with probability = mu_1**2*mu_2*mu_3/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 1.] [ 1. 1. 0.]] =: N Leaf with probability = -mu_1*(mu_1 - 1)*(mu_3 - 1)**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_2*(mu_2 - 1)*(mu_3 - 1)**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_2**2*mu_3*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 1. 1.]] =: N Leaf with probability = (mu_2 - 1)*(mu_3 - 1)*(mu_1**2 - 2*mu_1 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_1*mu_2**2*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 1. 1. 0.]] =: N Leaf with probability = -mu_1*mu_2*mu_3*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 1. 1.]] =: N Leaf with probability = mu_1*mu_2*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 1. 0.] [ 0. 0. 0.]] =: N Leaf with probability = mu_1*mu_3*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 1. 0. 0.]] =: N Leaf with probability = -mu_1*mu_2*mu_3*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 1. 1.]] =: N Leaf with probability = mu_2*mu_3*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 0. 1.]] =: N Leaf with probability = mu_1*mu_3*(mu_2**2 - 2*mu_2 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 1. 0. 0.]] =: N Leaf with probability = -mu_1**2*mu_2*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 1. 1. 0.]] =: N Leaf with probability = -mu_1*mu_2*mu_3*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 1.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_1*mu_2*mu_3*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 1. 0.] [ 0. 0. 1.]] =: N Leaf with probability = -mu_1**2*mu_3*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 1. 0. 1.]] =: N Leaf with probability = mu_2*mu_3*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 1.] [ 0. 0. 0.]] =: N Leaf with probability = mu_1*mu_2*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 1. 0.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_2*(mu_1 - 1)*(mu_3**2 - 2*mu_3 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 1. 0.]] =: N Leaf with probability = mu_1**2*mu_2*mu_3/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 1. 0.] [ 1. 0. 1.]] =: N Leaf with probability = -mu_3*(mu_2 - 1)**2*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 0. 0.]] =: N Leaf with probability = mu_1*mu_3*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 0. 1.]] =: N Leaf with probability = -mu_3*(mu_2 - 1)*(mu_1**2 - 2*mu_1 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 1.]] =: N Leaf with probability = -mu_3*(mu_1 - 1)**2*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_3*(mu_2 - 1)**2*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 1.]] =: N Leaf with probability = -mu_1*mu_3**2*(mu_1 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 1.] [ 0. 0. 1.]] =: N Leaf with probability = -mu_1*mu_2*mu_3*(mu_1 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 1. 0. 1.]] =: N Leaf with probability = mu_1*mu_2*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 1. 0. 0.]] =: N Leaf with probability = -mu_1**2*mu_3*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 1.] [ 1. 0. 0.]] =: N Leaf with probability = -mu_1*mu_3**2*(mu_1 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 1. 0. 1.]] =: N Leaf with probability = -mu_1*(mu_3 - 1)*(mu_2**2 - 2*mu_2 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 0. 0.]] =: N Leaf with probability = mu_2*mu_3*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 1. 0.]] =: N Leaf with probability = mu_1*mu_3*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 1.] [ 0. 0. 0.]] =: N Leaf with probability = mu_1**2*mu_3**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 1.] [ 1. 0. 1.]] =: N Leaf with probability = mu_1*mu_2**2*mu_3/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 1.] [ 1. 1. 0.]] =: N Leaf with probability = -mu_3*(mu_1 - 1)*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_1**2*mu_3*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 1. 0. 1.]] =: N Leaf with probability = -mu_3*(mu_2 - 1)*(mu_1**2 - 2*mu_1 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 0. 0.]] =: N Leaf with probability = mu_3**2*(mu_2 - 1)**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 0. 1.]] =: N Leaf with probability = mu_1*mu_3*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 1.] [ 0. 0. 0.]] =: N Leaf with probability = mu_1**2*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 1. 0. 0.]] =: N Leaf with probability = -mu_1*(mu_1 - 1)*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_1*mu_2*mu_3*(mu_1 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 1. 1. 0.]] =: N Leaf with probability = mu_3**2*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 0. 1.]] =: N Leaf with probability = mu_1*mu_2*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 1. 0. 0.]] =: N Leaf with probability = -mu_2*(mu_1 - 1)*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_3*(mu_1 - 1)**2*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 1.]] =: N Leaf with probability = (mu_1**2*mu_3**2 - 2*mu_1**2*mu_3 + mu_1**2 - 2*mu_1*mu_3**2 + 4*mu_1*mu_3 - 2*mu_1 + mu_3**2 - 2*mu_3 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = mu_1*mu_2*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 1. 0. 0.]] =: N Leaf with probability = -mu_2**2*mu_3*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 1.] [ 0. 1. 0.]] =: N Leaf with probability = mu_1*mu_2*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 1. 0.]] =: N Leaf with probability = (mu_1 - 1)*(mu_3 - 1)*(mu_2**2 - 2*mu_2 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = (mu_1 - 1)*(mu_3 - 1)*(mu_2**2 - 2*mu_2 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_2*mu_3**2*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 1. 1.]] =: N Leaf with probability = -mu_1**2*mu_2*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 1. 0.] [ 1. 0. 0.]] =: N Leaf with probability = mu_1*mu_2**2*mu_3/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 1. 0.] [ 0. 1. 1.]] =: N Leaf with probability = mu_1**2*(mu_2 - 1)**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 1. 0. 0.]] =: N Leaf with probability = mu_1*mu_3*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 1.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_3*(mu_1 - 1)*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 1.]] =: N Leaf with probability = mu_1*mu_2*mu_3**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 1.] [ 1. 0. 1.]] =: N Leaf with probability = mu_3**2*(mu_1 - 1)**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 0. 1.]] =: N Leaf with probability = -mu_1*(mu_2 - 1)*(mu_3**2 - 2*mu_3 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_1*mu_2**2*(mu_1 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 1. 1. 0.]] =: N Leaf with probability = -mu_3*(mu_1 - 1)*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 0. 0.]] =: N Leaf with probability = (mu_1 - 1)*(mu_2 - 1)*(mu_3**2 - 2*mu_3 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = mu_1*mu_2*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 1. 0.]] =: N Leaf with probability = mu_2*mu_3*(mu_1**2 - 2*mu_1 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_1*mu_2*mu_3*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 1.] [ 1. 0. 0.]] =: N Leaf with probability = -mu_1*(mu_1 - 1)*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = mu_1*mu_3*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 0. 1.]] =: N Leaf with probability = -mu_1*mu_2*mu_3*(mu_1 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 1.] [ 0. 1. 0.]] =: N Leaf with probability = mu_3**2*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 0. 1.]] =: N Leaf with probability = mu_1*mu_3*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 0. 1.]] =: N Leaf with probability = -mu_2*(mu_3 - 1)*(mu_1**2 - 2*mu_1 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 0. 0.]] =: N Leaf with probability = mu_2*mu_3*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 1.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_1*(mu_3 - 1)*(mu_2**2 - 2*mu_2 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_3*(mu_1 - 1)*(mu_2**2 - 2*mu_2 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 0. 0.]] =: N Leaf with probability = mu_1**2*mu_2**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 1. 0.] [ 1. 1. 0.]] =: N Leaf with probability = mu_2*mu_3*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 1.] [ 0. 0. 0.]] =: N Leaf with probability = (mu_1 - 1)*(mu_2 - 1)*(mu_3**2 - 2*mu_3 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N Leaf with probability = mu_1**2*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 1. 0. 0.]] =: N Leaf with probability = mu_2**2*(mu_1 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_3*(mu_1 - 1)*(mu_2**2 - 2*mu_2 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 0. 1.]] =: N Leaf with probability = -mu_2*mu_3**2*(mu_1 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 1. 1.]] =: N Leaf with probability = -mu_1*mu_2*mu_3*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 1. 1. 0.]] =: N Leaf with probability = mu_2*mu_3*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 0. 1. 0.]] =: N Leaf with probability = mu_1**2*(mu_3 - 1)**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 1. 0. 0.]] =: N Leaf with probability = mu_1*mu_2*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 0.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_2*(mu_1 - 1)*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 0. 0.]] =: N Leaf with probability = mu_1*mu_3*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 1.] [ 1. 0. 0.]] =: N Leaf with probability = -mu_2*(mu_1 - 1)*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 0. 0.]] =: N Leaf with probability = -mu_2*mu_3**2*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 1.] [ 0. 0. 1.]] =: N Leaf with probability = -mu_1*(mu_1 - 1)*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 0. 0.]] =: N Leaf with probability = -mu_1**2*mu_3*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 1. 0. 1.] [ 1. 0. 0.]] =: N Leaf with probability = mu_2**2*(mu_1 - 1)**2/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 0. 1. 0.]] =: N Leaf with probability = -mu_2**2*mu_3*(mu_1 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 1.] [ 0. 1. 0.]] =: N Leaf with probability = mu_2*mu_3*(mu_1 - 1)*(mu_2 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 0. 1. 1.]] =: N Leaf with probability = -mu_1*(mu_1 - 1)*(mu_2 - 1)*(mu_3 - 1)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 0. 0.] [ 1. 0. 0.]] =: N Leaf with probability = mu_1*mu_2*(mu_3**2 - 2*mu_3 + 2)/18: State : M = 2, K = 3 and t = 3, depth = 0. =: Stilde [[ 0. 1. 0.] [ 1. 0. 0.]] =: N Done for exploring every transitions up-to depth 2 for this root state: State : M = 2, K = 3 and t = 0, depth = 2. =: Stilde [[ 0. 0. 0.] [ 0. 0. 0.]] =: N Using these policies: - Player #0/2 uses Selfish_UCB_Ubar (which is )... - Player #1/2 uses Selfish_UCB_Ubar (which is )... Using these arms: - Arm #0/3 has mean mu_1 ... - Arm #1/3 has mean mu_2 ... - Arm #2/3 has mean mu_3 ... There were 144 unique leafs for depth 2... For depth 2, 0 leafs were found to be absorbing, and the probability of reaching any absorbing leaf is 0... ==> Numerically, for uniformly spanned means = [0.10000000000000001, 0.5, 0.90000000000000002], this probability is = 0 ... Creating a dot graph from the state... Saving the dot graph to 'plots/trees/Tree_exploration_K=3_M=2_depth=2__Selfish_UCB_Ubar.gv.svg'... [Enter] to continue...[1;5C[1;5C[1;5C[1;5C