第八章测试
1.

depend on following three-player game, where player 1 chooses rows, player 2 columns and player 3 matrices

11.png

Which strategy of player 1 is strictly dominated?



A:strategies T and B B:strategy M C:strategy B D:strategies T and M
答案:A
2.

 depend on following three-player game, where player 1 chooses rows, player 2 columns and player 3 matrices

11.png

What’s Nash equilibrium of this game?
A: (B, L, r)  B: (T, R, r) C:(M, R, r)  D: (T, L, l) 3.

(First-price sealed-bid auction) Alice is selling her 2000 chevrolet cavalier to her friends, Bob and Charles. Bob attaches a value of S$8,000 to Alice's old car, while Charles's value of the car is S$10,000. (These valuations are common knowledge between Bob and Charles.) Alice designs the following auction to sell her car: First, she asks each of them to write his bid on a piece of paper. Then Bob and Charles give their bids (nonnegative integers) to Alice. Notice that when Bob and Charles write down their bids, they don't know each other's bid (so called "sealed bid"). After Alice receives the sealed bids, the bids are shown to everyone, and the car will be sold to the person who has the higher bid at the price equal to his own bid. When there is a tie (Bob and Charles bid the same amount), then Alice would flip a fair coin to decide who will get the car.

 In this game, Bob has 8000 strategies and Charles has 10000 strategies.
A:对 B:错 4.

(First-price sealed-bid auction) Alice is selling her 2000 chevrolet cavalier to her friends, Bob and Charles. Bob attaches a value of S$8,000 to Alice's old car, while Charles's value of the car is S$10,000. (These valuations are common knowledge between Bob and Charles.) Alice designs the following auction to sell her car: First, she asks each of them to write his bid on a piece of paper. Then Bob and Charles give their bids (nonnegative integers) to Alice. Notice that when Bob and Charles write down their bids, they don't know each other's bid (so called "sealed bid"). After Alice receives the sealed bids, the bids are shown to everyone, and the car will be sold to the person who has the higher bid at the price equal to his own bid. When there is a tie (Bob and Charles bid the same amount), then Alice would flip a fair coin to decide who will get the car.

In this game Bob bids 8000 and Charles bids 8000 is a Nash equilibrium.
A:错 B:对 5.

(First-price sealed-bid auction) Alice is selling her 2000 chevrolet cavalier to her friends, Bob and Charles. Bob attaches a value of S$8,000 to Alice's old car, while Charles's value of the car is S$10,000. (These valuations are common knowledge between Bob and Charles.) Alice designs the following auction to sell her car: First, she asks each of them to write his bid on a piece of paper. Then Bob and Charles give their bids (nonnegative integers) to Alice. Notice that when Bob and Charles write down their bids, they don't know each other's bid (so called "sealed bid"). After Alice receives the sealed bids, the bids are shown to everyone, and the car will be sold to the person who has the higher bid at the price equal to his own bid. When there is a tie (Bob and Charles bid the same amount), then Alice would flip a fair coin to decide who will get the car.

 In this game Bob bids 7999 and Charles bids 8000 is a Nash equilibrium.
A:对 B:错

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