Image transcription text

We consider the following two-player strategic form game, where Alice's strategies are U.C, and D, and Bob's strategies are L, M, and R. The payoffs are given in the Table below. L M R U-5 -6 4. 2 6. 4 6. 6 5, 4 D 2. 8 5.4 -3. 7 Suppose that Alice plays the following mixed strategy: . U with probability 0.2 . C with probability 0.5 . D with probability 0.3 and that Bob plays the following mixed strategy: . L with probability 0.4 . M with probability 0.3 . R with probability 0.3 Calculate Alice's expected payoff (round your answer to the 2nd decimal), 

Image transcription text

We consider the following two-player strategic form game, where Alice's strategies are U.C, and D, and Bob's strategies are L, M, and R. The payoffs are given in the Table below. L M R U 5. 4 -9. -4 C-9 -7 B. 4 6 7 D 3. 1 -3, 0 -7. 8 Suppose that Alice plays the following mixed strategy: . U with probability 0.2 . C with probability 0.6 . D with probability 0.2 and that Bob plays the following mixed strategy: . L with probability 0.1 . M with probability 0.4 . R with probability 0.5 Calculate Alice's expected payoff (round your answer to the 2nd decimal).
 
 

Transcribed Image Text:

We consider the following two-player strategic form game, where Alice's strategies are U,C, and D, and Bob's strategies are L, M, and R. The payoffs are given in the Table below. LMR U-5, -6-4, 2-6, 4 C4,-16, 6 5,4 D 2,8 5, 4-3, 7 Suppose that Alice plays the following mixed strategy: U with probability 0.2 C with probability 0.5 D with probability 0.3 and that Bob plays the following mixed strategy: L with probability 0.4 M with probability 0.3 R with probability 0.3 Calculate Alice's expected payoff (round your answer to the 2nd decimal). We consider the following two-player strategic form game, where Alice's strategies are U,C, and D, and Bob's strategies are L, M, and R. The payoffs are given in the Table below. LMR U-5, -6-4, 2-6, 4 C4,-16, 6 5,4 D 2,8 5, 4-3, 7 Suppose that Alice plays the following mixed strategy: U with probability 0.2 C with probability 0.5 D with probability 0.3 and that Bob plays the following mixed strategy: L with probability 0.4 M with probability 0.3 R with probability 0.3 Calculate Alice's expected payoff (round your answer to the 2nd decimal).