I have a case study due

subgame perfect Nash equilibrium? Question 3: In which situations should we need the mixed extension of a game? Question 4: Find, if any, all Nash equilibria of the following famous matrix game: L R U (2,0) (3,3) D (3,4) (1,2) Question 5: What is the difference between a separating equilibrium and a pooling equilibrium in Bayesian games? Question 6: Give another name for, if it exists, the intersection of the players’ best-response « functions » in a game? Question 7: assuming we only deal with pure strategies, the Prisoner’s Dilemma is a situation with: No Nash equilibrium One sub-optimal Nash equilibrium One sub-optimal dominant profile No dominant profile Question 8: If it exists, a pure Nash equilibrium is always a profile of dominant strategies: True False Question 9: All games have at least one pure strategy Nash equilibrium: True False Question 10: If a tree game has a backward induction equilibrium then it must also be a Nash equilibrium of all of its subgames: Tr 2/2 Question 11: The mixed Nash equilibrium payoffs are always strictly smaller than the pure Nash equilibrium payoffs: True False Question 12: Which of the following statements about dominant/dominated strategies is/are true? I. A dominant strategy dominates a dominated strategy in 2x2 games. II. A dominated strategy must be dominated by a dominant strategy in all games. III. A profile of dominant strategies must be a pure strategy Nash equilibrium. IV. A dominated strategy must be dominated by a dominant strategy in 2x2 games. I, II and IV only I, II and III only II and III only I and IV only I, III and IV only I and II only Question 13: A pure strategy Nash equilibrium is a special case of a mixed strategy Nash equilibrium: True False Question 14: Consider the following 2x2 matrix game: L R U (3,2) (2,4) D (-1,4) (4,3) The number of pure and mixed Nash equilibria in the above game is: 0 1 2 3 Exercise (corresponding to questions 15 to 20 below): assume a medical doctor (M) prescribes either drug A or drug B to a patient (P), who complies (C) or not (NC) with each of this treatment. In case of compliance, controlled by an authority in charge of health services quality, the physician is rewarded at a level of 1 for drug A and 2 for drug B. In case of noncompliance, the physician is « punished » at -1 level for non-compliance of the patient with drug A and at -2 level for non-compliance with drug B. As for the compliant patient, drug A should give him back 2 years of life saved and drug B, only 1 year of life saved. When noncompliant with drug A, the same patient wins 3 years of life (due to avoiding unexpected allergic shock for instance), and when non-compliant with drug B, the patient loses 3 years of life. Question 15: You will draw the corresponding matrix of the simultaneous doctor-patient game. Question 16: Find, if any, the profile(s) of dominant strategies of this game. Question 17: Find, if any, the pure strategy Nash equilibrium/equilibria of this game. Question 18: Find, if any, the mixed strategy Nash equilibrium/equilibria of this game. Questions 19 and 20: Now the doctor prescribes first, then the patient complies or not: draw the corresponding extensive-form game (= question 19) AND find the subgame perfect Nash equilibrium/equilibria (=

to get them into a form without any integrals but when I work with the right side I get to a case where I keep doing the same thing. I would really appreciate some help.

he first time. He was Recently released from state prison where he served an 18-year term for murder and armed robbery. His visit is part of a plan for aftercare arranged by the HIV Liaison Nurse in the prison. He denies practicing any behaviors that could put him at high risk for HIV disease, including having had sex with men or injecting drugs, while in prison or before he was imprisoned. He was first diagnosed with HIV infection five years ago. Mr. J.D. was married before he was arrested, but he was divorced 15 years ago. Although he has two adult children, Mr. J.D. has no contact with his children or former wife. He believes that they moved out of state. His parents are both deceased. He also lost contact with his five brothers and sisters. Currently, Mr. J.D. lives in a short-term, subsidized, group residence for newly released inmates. While in prison he completed high school and earned a GED diploma. In prison he also learned basic computer skills and answered telephone calls for the state's tourist bureau, which was staffed by inmates. He plans to enroll in a community college to learn more about computers. He has job interviews scheduled for several telemarketing companies. His medical history is unremarkable except for sexually transmitted diseases. Shortly after he was arrested he was diagnosed and treated for urethral gonorrhea. His physical examination is Unremarkable. 1. Read the case and Identify biological variables. 2. Identify Psychological variables. 3. Identify Social variables Case – 2 Jane is a middle class American housewife and a bar attender. She is a HIV infected woman who feels isolated and experiences’ shame and stigma in the community she is living. Her economic and social resources are inadequate to meet her needs. She has three children and her role as care giver, wife and mother is lost or limited. She fears transmitting HIV to her family members by contact. She is depressed and confused to disclose her illness to children. She feels disappointed for the loss of reproductive choice due to some gynecological problems associated with HIV. Her husband is a drug addict and jobless, dependent on the family. 1. Read the case and Identify biological variables. 2. Identify Psychological variables. 3. Identify Social variables Case – 3 A 65year old HIV couple from Thailand is living alone in a suburban village with no family support available. . They were depressed due to isolation, internalized shame and perceived stigma. They have several issues with health such as sleeping problems, Arthritis, Diabetes. Sometimes the couple was reluctant for medication due to many medicines in a day. They are confined to home due to mobility problems. Though they are covered under Social security system but it is not sufficient to fulfil their needs due to rising medical needs. 1. Read the case and Identify biological variables. 2. Identify Psychological variables. 3. Identify Social variables Case - 4 Kathy met a man, he was charming and handsome. They talked for hours the first night they met. She told him about her last relationship and how it ended with the police taking her boyfriend away after he brutally attacked her. The charmer told her, that he had been single for many years after his partner died of AIDS. She asked him straight up what his HIV status was and he told Kathy "he was clean and healthy". They began seeing each other regularly. She was falling for this guy and him for her. They played safe at first. But as time passed and their relationship grew stronger and began to relax. They had an active social life and enjoyed each other and going out with friends. Life was very good until February 11, 2010. She discovered a hospital document that had her partners name on it. The document was mixed in with some old holiday cards he had collected and saved over the years. The paper was dated 2002 and stated her partner was HIV poz and had been for 10 years prior. She was devastated! Over the 2+ years they we were together and had the 'HIV poz' conversation many times and he always said how happy he was to be 'clean'. Kathy was tested 2 days later and the results came back positive. Kathy moved out that afternoon- it was her birthday. I am heart broken, confused and angry. Being lied to by someone she loved so much just adds to the pain of having to deal with the news of being HIV poz. 1. Read the case and Identify biological variables. 2. Identify Psychological variables. 3. Identify Social variables

rmacology class and I need an abstract and to answer the 11 questions at the end of the case study. Everything needs to be cited and after fully answering the questions I need to relate the question to the guy in the case study.

et loans (he doesn't "earn" income). With the loans (L) he needs to decide between first period consumption (C1) and investment (I). The amount invested will allow him to get a second period income Y with probability P which is increasing in I (therefore, P(I)), In case of success and the person obtain Y, the individual should use Y to repay the loan (L) that he requested in the first period and consume in the second period (C2). However, with probability 1 - P(I), the person don't get Y and therefore only consume C1. Note that if the individual only invest the loan (L=I) and don't obtain Y, he can't consume anything. That motivates him not to invest the whole loan and keep part of the loan in order to warrant at least first period consumption. Therefore, considering B the parameter for the time preference, the problem would be: max U=ln(C1) + Bln(C2) s.t: L = I + C1 Y(I) = L(1+r) + C2 with Probability P(I) or s.t: L = I + C1 with probability 1 - P(I) My question is, Have you ever seen something like this? If yes, how to proceed? What is more important, I really need a bibliography (a book or article talking about this)