Reference no: EM131332528
George, John, and Thomas are standing first, second, and third in a line, respectively. Each one sees the persons standing in front of him. James announces: "I have three red hats and two white hats. I will place a hat on the head of each one of you."
After James places the hats, he asks Thomas (who can see the hats worn by John and George) if he knows the color of the hat on his own head. Thomas replies "no." He then asks John (who sees only George's hat) whether he knows the color of the hat on his own head, and he also replies "no." Finally, he asks George (who cannot see any of the hats) if he knows the color of the hat on his own head.
(a) Construct an Aumann model of incomplete information that contains 7 states of the world and describes this situation.
(b) What are the partitions of George, John, and Thomas after James's announcement and before he asked Thomas whether he knows the color of his hat?
(c) What are the partitions of George and John after Thomas's response and before John responded to James's question?
(d) What is George's partition after hearing John's response?
(e) What is George's answer to James's question? Does this answer depend on the the state of the world, that is, on the colors of the hats that the three wear?
Calculate the instantaneous value of the current
: Calculate the instantaneous value of the voltage v(t) = 5.7 sin (100πt) V at t = 3.8 ms. (Note that the argument to the trigonometric functions is given in radians.) Calculate the instantaneous value of the current i(t) = 3.2 sin (100πt - π/5) A at..
|
Did paul die when he was stoned in lystra
: Did Paul die when he was stoned in Lystra? What is the evidence for each position, yes and no? Paul's testimony in 2 Corinthians 12 is often associated with this event. Is that valid? What are the reasons why it should or should not be associated..
|
Develop a shale gas drilling site
: Dementor Fracking Ltd employs 50 people and is proposing to develop a Shale Gas drilling site, which is to be located one mile from each of three surrounding rural villages in Yorkshire.
|
Questionnaire score that separates customers
: What is the questionnaire score that separates customers who are considered risk averse from those who are not? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
|
What are the partitions of george and john and thomas
: What are the partitions of George, John, and Thomas after James's announcement and before he asked Thomas whether he knows the color of his hat?
|
Suitable investment decisions on behalf of customers
: Risk taking is an important part of investing. In order to make suitable investment decisions on behalf of their customers, portfolio managers give a questionnaire to new customers to measure their desire to take financial risks.
|
Discuss about the religious history of american women
: the topic is The Religious History of American Women.You are going to put your proffessor comment, therefore or considering those info you write the papers.
|
What are the connected components in the graph
: What are the connected components in the graph corresponding to this Aumann model? Which events are common knowledge in state of the world ω = 1?
|
Intercept represent in terms of linear analysis
: What does the y-intercept represent in terms of linear analysis (and linear regression analysis) and give an example of how it can no significance in a problem?
|