14 06 2024 E TS

Page 1

14/06/24, 09:42June 24: Revisione tentativo Page 1 of 5https://remoteexam.polimi.it/mod/quiz/review.php?attempt=268616&cmid=6482 202324GTAJune 24Anteprima Domanda 1Risposta non data Punteggio max.: 2,50 Iniziatovenerdì, 14 giugno 2024, 09:41 StatoCompletato Terminatovenerdì, 14 giugno 2024, 09:42 Tempo impiegato40 secondi QUIZ Consider the non cooperative game in strategic form, where the entries of the bimatrix represent utilities. and assume that Player 2 chooses . Which of the following statements is true? a.(0,0,1) is a best response for Player 1 if and only if b.(1,0,0) is a best response for Player 1 if and only if c.(0,1,0) is a best response for Player 1 if and only if d.(0,0,1) is a best response for Player 1 if and only if ⎛ ⎝ ⎜⎜ (1,1) (6,2) (3,5) (5,2) (5,2) (𝑎,5) (11,3) (1,6) (7,2) ⎞ ⎠ ⎟⎟ (1/4,1/2,1/4) 𝑎≥5 𝑎≤5 𝑎≤6 𝑎≥6 La risposta corretta è: (0,0,1) is a best response for Player 1 if and only if 𝑎≥6 14/06/24, 09:42June 24: Revisione tentativo Page 2 of 5https://remoteexam.polimi.it/mod/quiz/review.php?attempt=268616&cmid=6482 Domanda 2Risposta non data Punteggio max.: 2,50 Domanda 3Risposta non data Punteggio max.: 2,50 Domanda 4Risposta non data Punteggio max.: 2,50 Consider the non cooperative game in strategic form, where the entries of the bimatrix represent costs: Assuming that the social cost function is the sum of the costs of the players, and that only pure strategies are available, what is the price of stability? Risposta: ⎛ ⎝ ⎜⎜ (0,4) (15,7) (4,2) (1,6) (0,4) (2,1) (0,3) (4,6) (7,4) (4,2) (3,8) (0,2) ⎞ ⎠ ⎟⎟ La risposta corretta è : 2 Consider the zero-sum game described by the matrix What is the value of the game? Risposta: 𝐴=().3 5 5 2 La risposta corretta è : 3,8 Consider the following matching problem with Daisy Duck, Minnie and Donald Duck,…