Chapter 21, Problem 1DQ

Jia is considering whether to go out to dinner at a restaurant with her friend. The meal is expected to cost $40, Jia typically leaves a 20% tip, and an Uber will cost $5 each way. Jia values the restaurant meal at $25. Jia enjoys her friend's company and is willing to pay $30 just to spend an evening with her. If Jia does not go out to the restaurant, she will eat at home, using groceries that cost her $8.

Jia is considering whether to go out to dinner at a restaurant with her friend. The meal is expected to cost $40, Jia typically leaves a 20% tip, and an Uber will cost $5 each way. Jia values the restaurant meal at $25. Jia enjoys her friend’s company and is willing to pay $30 just to spend an evening with her. If Jia does not go out to the restaurant, she will eat at home, using groceries that cost her $8. . Calculate Jia’s costs associated with going out to dinner with her friend.  Calculate Jia’s benefits associated with going out to dinner with her friend.   How I can resolve this problem

6) You have been assigned to create a new TV game show, and you have an interesting idea that you call, “I WANT TO BE A MILLIONAIRE.” The basics are: 1) two contestants; 2) the show begins with each contestant being given $1 million (!), and then 3) they begin playing a game that can increase or decrease that $1 million. You worry that the initial outlay of $2 million will stun your producers, so you decide to prepare them with a simpler version of your game that you call: “I WANT $3.” There are four steps in this simpler game: I. There are two contestants/opponents (who do not know each other and cannot communicate with each other during the game). II. Each player is given $3 at the start of the game. III. Independently and simultaneously, each player must choose whether they want to add $0, $1, $2 or $3 to their initial stake of $3. Doing so reduces their opponent’s award by $0, $2, $4, or $6, respectively. IV. Each player knows that their payoff at the end of the game is based on…

6) You have been assigned to create a new TV game show, and you have an interesting idea that you call, “I WANT TO BE A MILLIONAIRE.” The basics are: 1) two contestants; 2) the show begins with each contestant being given $1 million (!), and then 3) they begin playing a game that can increase or decrease that $1 million. You worry that the initial outlay of $2 million will stun your producers, so you decide to prepare them with a simpler version of your game that you call: “I WANT $3.” There are four steps in this simpler game: I. There are two contestants/opponents (who do not know each other and cannot communicate with each other during the game). II. Each player is given $3 at the start of the game. III. Independently and simultaneously, each player must choose whether they want to add $0, $1, $2 or $3 to their initial stake of $3. Doing so reduces their opponent’s award by $0, $2, $4, or $6, respectively. IV. Each player knows that their payoff at the end of the game is based on…

Catherine wins a non-transferable, non-refudnable ticket to attend Saturday's baseball game. Taylor plans to attend the same game, but she knows from experience she can purchase a $40 ticket the day of the game. On the day of the game, it is cold with off-and-on rain showers, weather that both Catherine and Taylor equally dislike, making the prospect of attending the game less attractive than before. If both Catherine and Taylor have the same tastes and rational:  a. Is one of them more likely to attend the baseball game than the other? b. Instead of winning a ticket, assume that last week Catherine paid $40 for the non-trasnferable, non-refundable ticket to Saturday's game. Would this change whether or not one of them is more likely to attend the baseball game?

equilibrium

Imagine that you are at dinner with an acquaintance and that you are each independently choosing what to order for dinner: a burger (which costs $8), or a chicken ($12). In terms of enjoyment, you each have the same preferences: you value the burger at $14, chicken at $17. In other words, if you were dining alone and ordered a burger, your payoff would equal $14- $8 = $6. In this case, however, you will split the bill equally with your companion and thus your payoff depends both on your own order and the order of your acquaintance. Specifically, each diner's payoff is equal to the value of their own meal minus half the cost of the total bill. They also get a payoff of $2 when both of them choose the same meal. (a) Write down the normal form representation of the game in which both players are independently choosing between the actions Burger, Chicken. (b) What are pure and mixed Nash equilibria? Draw best response graphs according to beliefs.

6) You have been assigned to create a new TV game show, and you have an interesting idea that you call, “I WANT TO BE A MILLIONAIRE.”  The basics are: 1) two contestants; 2) the show begins with each contestant being given $1 million (!); and then 3) they begin playing a game that can increase or decrease that $1 million. You worry that the initial outlay of $2 million will stun your producers, so you decide to prepare them with a simpler version of your game that you call: “I WANT $3.” There are four steps in this simpler game: There are two contestants/opponents (who do not know each other and cannot communicate with each other during the game). Each player is given $3 at the start of the game. Independently and simultaneously, each player must choose whether they want to add $0, $1, $2 or $3 to their initial stake of $3. Doing so reduces their opponent’s award by $0, $2, $4, or $6, respectively. Each player knows that their payoff at the end of the game is based on their initial…

the other images is the choices on each match