这题答案不是一个出正面，另一个出背面。一个出背面，另一个出正面，所以应该是c吗
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Consider a game about showing the head or tail side of a coin. Lily and Lucy are the game participants and both want to win as much as possible. Possible results are in the table below:
Based on information above, the most likely strategy that Lily and Lucy will make under the Nash Equilibrium is?
您的回答, 正确答案是: A
A
Both show the tail side
B
Both show the head side
C
不正确One shows the tail side and the other shows the head side.
数据统计(全部)
做对次数: 1596
做错次数: 484
正确率: 76.73%
数据统计(个人)
做对次数: 0
做错次数: 1
正确率: 0.00%
解析
A is correct.
If Lily shows the head side, Lucy can get $5 if she also shows the head side, and get $8 if she shows the tail side, therefore Lucy prefers to show the tail side. If Lily shows the tail side, Lucy can get $0 if she shows the head side, and get $3 if she shows the tail side, therefore Lucy prefers to show the tail side. In both condition, Lily tends to show the tail side. On the other side, Lucy will make the same conclusion. The most likely strategy under the Nash equilibrium is that both show the tail side.
考点：纳什均衡。
解析：
如果露西出正面，那么丽丽应该出背面，因为她可以获得8元，大于5元。
如果露西出背面，那么丽丽应该出正面，因为她可以获得3元，大于0元。
所以无论怎样，丽丽都应该出背面。
如果丽丽出正面，那么露西应该出背面，因为她可以获得8元，大于5元。
如果丽丽出背面，那么露西也应该出背面，因为她可以获得3元，大于0元。
所以无论怎样，露西也应该出背面，所以此题选A
