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22 01 2024 E TS

Full exam for Game Theory in the Computer Engineering degree programme at Politecnico di Milano. The document covers: 22/01/24, 10:24January 24: Revisione tentativo Page 1 of 5https://remoteexam.polimi.it/mod/quiz/review.php?attempt=256645&cmid=6210 202324GTAJanuary 24Anteprima Domanda 1Risposta non data Punteggio max.: 2,50 Domanda 2Risposta non data Punteggio max.: 2,50 Iniziatolunedì, 22

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Full exam for Game Theory in the Computer Engineering degree programme at Politecnico di Milano. The document covers: 22/01/24, 10:24January 24: Revisione tentativo Page 1 of 5https://remoteexam.polimi.it/mod/quiz/review.php?attempt=256645&cmid=6210 202324GTAJanuary 24Anteprima Domanda 1Risposta non data Punteggio max.: 2,50 Domanda 2Risposta non data Punteggio max.: 2,50 Iniziatolunedì, 22

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22/01/24, 10:24January 24: Revisione tentativo Page 1 of 5https://remoteexam.polimi.it/mod/quiz/review.php?attempt=256645&cmid=6210 202324GTAJanuary 24Anteprima Domanda 1Risposta non data Punteggio max.: 2,50 Domanda 2Risposta non data Punteggio max.: 2,50 Iniziatolunedì, 22 gennaio 2024, 10:23 StatoCompletato Terminatolunedì, 22 gennaio 2024, 10:24 Tempo impiegato22 secondi QUIZ Given the zero-sum game described by the following matrix: Find the value of the game (hint: it is a natural number). Risposta: ⎛ ⎝ ⎜⎜ 3 3 5 5 2 3 7 1 4 ⎞ ⎠ ⎟⎟ La risposta corretta è : 4 The students A,B,C,D,E are interested in 3 rooms in the Campus. Each student can get at most one room. Their evaluation for the rooms is the following: Using a VCG mechanism, student C gets room 1. How much does she pay? Risposta: 𝐴 𝐵 𝐶 𝐷 𝐸 Room 1 30 25 30 20 25 Room 2 20 35 25 40 35 Room 3 40 30 35 30 35 La risposta corretta è : 25 22/01/24, 10:24January 24: Revisione tentativo Page 2 of 5https://remoteexam.polimi.it/mod/quiz/review.php?attempt=256645&cmid=6210 Domanda 3Risposta non data Punteggio max.: 2,50 Domanda 4Risposta non data Punteggio max.: 2,50 Domanda 5Risposta non data Punteggio max.: 2,50 There are 4 parties: White, Red, Black, Green. White has 35 votes, Red 23, Black 24 and Green 18. In order to take a decision, the majority of at least 2/3 of votes is needed. Is the core of this TU game empty? Scegli una risposta: Vero Falso La risposta corretta è 'Falso'. Consider a classical Nim game with 46 piles of 5 cards, 25 piles of 3 cards, and 3 piles of cards. Find such that the second player has a winning strategy. Risposta: 𝑥 𝑥 La risposta corretta è : 3 Consider the following Chomp game and suppose that player 1 takes the square number 2. Does player 2 have a winning strategy after that move?…

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