博弈论题目

是 否 +2 论坛币

k人 参与回答

经管之家送您一份

应届毕业生专属福利!

求职就业群

赵安豆老师微信：zhaoandou666

经管之家联合CDA

送您一个全额奖学金名额~ !

立即领取

感谢您参与论坛问题回答

经管之家送您两个论坛币！

+2 论坛币

Two households have to decide whether to build a swimming pool on a piece of common
property situated between the two houses. Building the swimming pool costs $70. The
value of the swimming pool is uncertain. There is a fty percent chance that it is
worth $80 to a household and a fty percent chance that it is worth $0. The swimming
pool is worth building as long as one household likes it. The problem is that each
family only knows how much the swimming pool is worth to itself. In order to induce
truth-telling, the families decide to use a voting scheme so that the swimming pool
is built with a probability of x% when only one family votes for it. See the following
table. It is easy to see that if x = 0, a household will vote for the pool if and only if it
likes have a swimming pool. What is the maximum value of x that is consistent with
truth-telling?
Household 1 Household 2 Swimming Pool H1 pays H2 pays
Y Y Y $35 $35
Y N x% $70 $0
N Y x% $0 $70
N N N $0 $0

扫码加我 拉你入群

请注明：姓名-公司-职位

以便审核进群资格，未注明则拒绝

分享0 收藏0 回帖

关键词：博弈论 Probability Households consistent household household building swimming between percent