EXERCISE 179.1 (Subgame perfect equilibria of ticktacktoe) Ticktacktoe has sub- game perfect equilibria in which the first player puts her first X in a corner. The second player's move is the same in all these equilibria. What is it?

Give typing answer with explanation and conclusion

1. A dealer decides to sell a rare book by means of an English auction with a reservation price of 54. There are two bidders. The dealer believes that there are only three possible values, 90, 54, and 45, that each bidder’s willingness to pay might take. Each bidder has a probability of 1/3 of having each of these willingnesses to pay, and the probabilities for each of the two bidders are independent of the other’s valuation. Assuming that the two bidders bid rationally and do not collude, the dealer’s expected revenue is approximately ______. 2. A seller knows that there are two bidders for the object he is selling. He believes that with probability 1/2, one has a buyer value of 5 and the other has a buyer value of 10 and with probability 1/2, one has a buyer value of 8 and the other has a buyer value of 15. He knows that bidders will want to buy the object so long as they can get it for their buyer value or less. He sells it in an English auction with a reserve price which he must…

2

7

FIVE. Which of the following is true about standard deviation?     The first step in calculating the standard deviation is calculating the square root.   The second step in calculating the standard deviation is to subtract each measurement from the intermediate value and then square that difference.   The last step in calculating the standard deviation is to sum the squared values and divide by the number of values minus one.   Standard deviation is a type of average where the positive and negative numbers sum to zero.   The amount of difference of the measurements from the central value is called the sample standard deviation.

if the child buys either chocolates or hard candies one piece at a time, what will be his first two purchases?

17-2 Game Show Uncertaninty In the final round of a TV game show, contestants have a chance to increase their current winnings of $1 million to $2 million. If they are wrong, their prize is decreased to $500,000. A contestant thinks his guess will be right 50% of the time. Should he play? What is the lowest probability of a correct guess that would make playing profitable?

question attached

Question9