Question

In: Economics

Smith has been injured during an operation. With probability .5 the doctor is guilty of malpractice...

Smith has been injured during an operation. With probability .5 the doctor is guilty of
malpractice and with probability .5 he is innocent. The doctor knows whether or not he is
actually guilty. Smith threatens to sue the doctor. Before the case goes to trial, the doctor can
settle out of court. If the doctor settles, he pays Smith 1,000, Smith pays 1/3 of this 1,000 to her
lawyer, and the doctor does not pay any legal fees. If the doctor does not settle then Smith can
either drop the suit or let the case go to trial. If Smith drops the suit Smith and the doctor each
receive a payoff of 0. If the case goes to trial, the doctor's guilt or innocence will be discovered.
If Smith wins the trial, then (i) she will win 1,000 but will have to give 1/3 of this 1,000 to her
lawyer, and (ii) the doctor will lose the 1,000 he pays Smith and an additional 100 in legal fees.
If Smith loses the trial then she must pay the doctor's legal fees of 100.

(a) Show that this game has all of the basic elements of a signaling game.


(b) Show that this game does not have a separating equilibrium.


(c) Show that this game does not have a pooling equilibrium.


(d) Find the mixed strategy perfect Bayes-Nash equilibrium in this game.

Solutions

Expert Solution


Related Solutions

Problem #1 Mr. Blue is a licensed skin doctor. During the first month of the operation...
Problem #1 Mr. Blue is a licensed skin doctor. During the first month of the operation of his business, the following events and transactions occurred. ·             April 1 Invested $20,000 cash in his business. ·             1 Hired a secretary-receptionist at a salary of $700 per week payable monthly. ·             2 Paid office rent for the month $1,100. ·             3 Purchased doctor office’s supplies on account from Dazzle Company $4,000. ·             10 Performed medical services and billed insurance companies $5,100. ·...
Question 5 (10 marks) Tanked Pty Ltd (Tanked) has four directors who have been found guilty...
Question 5 Tanked Pty Ltd (Tanked) has four directors who have been found guilty of insolvent trading under s 588G of the Corporations Act 2001 (Cth). Holly, one of the directors, believes she is not liable as she relied on a financial report prepared by the accounting intern that showed the financial situation of Tanked was good. Bob also believes he is not liable as he stood down from management some months earlier to assist his unwell wife. Richmond also...
Question 5 (10 marks) Tanked Pty Ltd (Tanked) has four directors who have been found guilty...
Question 5 Tanked Pty Ltd (Tanked) has four directors who have been found guilty of insolvent trading under s 588G of the Corporations Act 2001 (Cth). Holly, one of the directors, believes she is not liable as she relied on a financial report prepared by the accounting intern that showed the financial situation of Tanked was good. Bob also believes he is not liable as he stood down from management some months earlier to assist his unwell wife. Richmond also...
Part 4: 1. A woman has been injured in an automobile accident and as a result...
Part 4: 1. A woman has been injured in an automobile accident and as a result is permanently disabled for life. (The accident was not her fault.) She is 35 years of age and had planned on working until age 70. As a potential college professor, she was about to start a job that paid $50,000 annually. Using 6%, what is the amount of lost income in present-day dollars? 2. Additionally, she faces annual medical bills of $30,000, all of...
1.a patient has been injured and is in need of a blood transfusion. when she arrives...
1.a patient has been injured and is in need of a blood transfusion. when she arrives at the ER, doctors determine that she has type A+ blood. what antigens are present on her erythrocytes? what antibodies are present in her blood? what blood type(s) can she receive in her blood transfusion? 2. If an agglutination reaction only occurs when an anti-B antibody is applied, then the blood type must be typed ___(A/B) ___(+/-)
A die has been "loaded" so that the probability of rolling any even number is 5...
A die has been "loaded" so that the probability of rolling any even number is 5 27 and the probability of rolling any odd number is 4 27 . (Assume the die is six-sided with each side numbered one through six.) (a) Find the following probabilities. Enter your probabilities as fractions. Pr(2 ∩ even) = Pr(even) = Pr(2 | even) = What is the probability of rolling a 2, given that an even number is rolled? (b) Find the following...
PricewaterhouseCoopers has been found liable in an accounting malpractice case that alleged it failed to detect...
PricewaterhouseCoopers has been found liable in an accounting malpractice case that alleged it failed to detect the $2 billion fraud that led to one of the biggest bank collapses in history. The alleged fraud involved executives at Taylor, Bean & Whitaker, a defunct mortgage firm, and counterparts at Colonial Bank, an Alabama-based lender that supplied TBW with loans. PwC gave the bank’s parent, Colonial BancGroup, a clean audit for years before it emerged that huge chunks of Colonial’s loans to...
A client has sustained an injury to the head during a car accident. The doctor suspects...
A client has sustained an injury to the head during a car accident. The doctor suspects diabetes insipidus. a. Based on this diagnosis, what assessment data would the nurse expect to see? b. In this situation, what would be the probable cause of this diagnosis? c. Describe the treatment for diabetes insipidus. d. What are the black box warnings for the prototype treatment drug?
Response should be 5 paragraphs long During the pandemic of 2020, there has been a public...
Response should be 5 paragraphs long During the pandemic of 2020, there has been a public health crisis because of the unwillingness of a good number of people to wear masks and comply with social distancing guidelines. Use a moral theory and/or moral principles to make an argument for why people should comply with the mitigation guidelines and wear a mask and social distance.
Mr. Smith owns 100% of Parent Company (PC). Mr. Smith has been an entrepreneur all his...
Mr. Smith owns 100% of Parent Company (PC). Mr. Smith has been an entrepreneur all his life and as a result owns four businesses through PC which include Holdco Ltd. (Holdco), a holding company. Mr. Smith plans to sell his businesses one by one over the next few years. He is considering selling Holdco this year. Holdco owns 100% of Swiss Sub Ltd. (SS). Swiss Sub is a food franchise that sells freshly toasted sandwiches made to customers’specifications. Swiss Sub...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT