Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standarddeck. If both cards are spades, your friend will pay you $7. Otherwise, you have to pay your friend $2.Step 2 of 2: If this same bet is made 543 times, how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed asnegative values.

Answered: Suppose that you and a friend are…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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$11. Anne and Bruce would like to rent a movie, but they can't decide what kind of movie to get: Anne wants to rent a comedy, and Bruce wants to watch a drama. They decide to choose randomly by playing "Evens or Odds." On the count of three, each of them shows one or two fingers. If the sum is even, Anne wins and they rent the comedy; if the sum is odd, Bruce wins and they rent the drama. Each of them earns a payoff of 1 for winning and 0 for losing "Evens or Odds." (a) Draw the game table for "Evens or Odds." (b) Demonstrate that this game has no Nash equilibrium in pure strategies.
You could choose any position A (the first mover) or B (the second mover) in the following three bargaining games. For each game (I, II, or III), explain which player (A or B) you would pick in order to maximize your expected payoff? 1. Game I (one stage): A will make the first move and offer her partner a portion of 6 dollars. If the offer is accepted, the bargain is complete and each player gets an amount determined by the offer. If the offer is declined, each player gets nothing. 2. Game II (two stages): A will make the first move and offer her partner a portion of 12 dollars. If the offer is accepted, the bargain is complete and each player gets an amount determined by the offer. If the offer is declined, the 12 shrinks to 5 and B then gets a turn to make an offer. Again, the bargain is complete if A accepts and the division is made according to the terms of the offer. If player A declines the offer, each player gets nothing. 3. Game III (three stages): A will make the first move…
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are spades, your friend will pay you $7. Otherwise, you have to pay your friend $2. Step 1 of 2: What is the expected value of your bet? Round your answer to two decimal places. Losses must be expressed as negative values.
Suppose you have $35,000 in wealth. You have the opportunity to play a game called "Big Bet/Small Bet." In this game, you first choose whether you would like to make a big bet of $15,000 of a small bet of $5,000. You then roll a fair die. If you roll a 4, 5, or 6, you win the game and earn $15,000 for the big bet or $5,000 for the small bet. If you roll a 1, 2, or 3, you lose and lose $15,000 for the big bet and $5,000 for the small bet the game Utility U₂ U₁ BEL 0 11 LATE EE ARTE Are the Small Bet and Big Bet considered fair bets? O Big Bet is fair, but Small Bet is not. No, both are not fair. Yes, both are fair. 20 OSmall Bet is fair, but Big Bet is not. G HA 1 35 D E 1 1 1 1 1 F 1 U 50 Income (thousands of dollars)
Suppose you were playing the Split or Steal game for a jackpot of $100,000. Which would you choose: Split or Steal? Explain why
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The following table contains the possible actions and payoffs of players 1 and 2. Player 2 Cooperate Player 1 Cooperate Not Cooperate 15, 15 20, -10 Not Cooperate -20, 20 10, 10 This game is infinitely repeated, and in each period both players must choose their actions simultaneously. If both players follow a tit-for-tat strategy, then they can Cooperate in equilibrium if the interest rate r is ✓. At an interest rate of r=0.5, If instead of playing an infinite number of times, the players play the game only 10 times, then in the first period player 1 receives a payoff of
You and I play the following game. Hidden from you, I put a coin in my hand: with probability p it is a 10 pence coin and otherwise it is a 20 pence coin. You now guess which coin is in my hand: you guess it is 20 pence with probability s and otherwise you guess it is a 10 pence coin. You get to win the coin if you guess correctly and otherwise win nothing. What (in terms of p and s) is your expected gain in pence from playing this game once with me? Challenge: suppose we are going to play repeatedly and you want to maximise your gain and I wish to minimise my loss. What value of p should I choose and what value of s should you choose? (This question is somewhat ill-defined, but it does have an interesting possible answer.) (Note: anything labelled "challenge" will not be part of the hand-in.)
Consider the following bargaining problem: $20 dollars needs to be split between Jack and Jill. Jill gets to make an initial offer. Jack then gets to respond by either accepting Jill’s initial offer or offering a counter offer. Finally, Jill can respond by either accepting Jakes offer or making a final offer. If Jake does not accept Jill’s final offer both Jack and Jill get nothing. Jack discounts the future at 10% (i.e. future earnings are with 10% less than current earnings while Jill discounts the future at 20%. Calculate the Nash equilibrium of this bargaining problem. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
Consider the following game. There are two payers, Player 1 and Player 2. Player 1 chooses a row (10, 20, or 30), and Player 2 chooses a column (10/20/30). Payoffs are in the cells of the table, with those on the left going to Player 1 and those on the right going to player 2. Suppose that Player 1 chooses his strategy (10, 20 or 30), first, and subsequently, and after observing Player 1’s choice, Player 2 chooses his own strategy (of 10, 20 or 30). Which of the following statements is true regarding this modified game? I. It is a simultaneous move game, because the timing of moves is irrelevant in classifying games.II. It is a sequential move game, because Player 2 observes Player 1’s choice before he chooses his own strategy.III. This modification gives Player 1 a ‘first mover advantage’. A) I and IIB) II and IIIC) I and IIID) I onlyE) II only
Rita is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8. The dart lands on a numbered slice at random. This game is this: Rita tosses the dart once. She wins $1 if the dart lands in slice 1, $2 if the dart lands in slice 2, $5 if the dart lands in slice 3, and $8 if the dart lands in slice 4. She loses $3 if the dart lands in slices 5, 6, 7, or 8. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. | dollars (b) What can Rita expect in the long run, after playing the game many times? O Rita can expect to gain money. She can expect to win dollars per toss. Rita can expect to lose money. She can expect to lose dollars per toss. O Rita can expect to break even (neither gain nor lose money).
So imagine you are playing this game as the second player and you are both given a 10 dollars and the dictator decides to offer you 25 cents and that she/he will keep $9.25. Your only choice is to accept the 25 cents or reject the offer and get no money at all. What would you do? What would be considered ‘rational’ from the perspective of utility maximization? What would you do if this is a continued game and the same scenario will happen multiple times not just once? Do you think others will react the same way you would?

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