Two players play the Ultimatum Game, in which they are to split $20. A purely rational agent would only reject an offer of … Group of answer choices... -$20 -$19 -$1 -$0 -$10
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- Two players play the Ultimatum Game, in which they are to split $20. A purely rational agent would only reject an offer of …Consider the following scenarios in the Ultimatum game, viewed from the perspective of the Recipient. Assume that the Recipient is motivated by negative reciprocity and will gain $15 of value from rejecting an offer that is strictly less than 50 percent of the total amount to be divided between the two players by the Proposer. Assume that the Proposer can only make offers in increments of $1. If the pot is $30, what is the minimum offer that the Responder will accept? What percent of the pie is this amount? The minimum offer that will be accepted is S. which represents percent of the pie. If the pot is $100, what is the minimum offer that the Responder will accept? What percent of the pie is this amount? The minimum offer that will be accepted is S, which represents percent of the pie. (Round answers to 2 decimal places as needed)Suppose Justine and Sarah are playing the ultimatum game. Justine is the proposer, has $140 to allocate, and Sarah can accept or reject the offer. Based on repeated experiments of the ultimatum game, what combination of payouts to Justine and Sarah is most likely to occur?.
- Amir and Beatrice play the following game. Amir offers an amount of money z € [0, 1] to Beatrice. Beatrice can either accept or reject. If Beatrice accepts, then Amir receives 1 - z dollars and Beatrice receives a dollars. If Beatrice rejects, then both receive no money. As in the Ultimatum Game, Amir cares only about maximizing the amount of money he receives. Beatrice, on the other hand, detests Amir, and therefore cares about the amount of money that both receive: if Amir receives y dollars and Beatrice receives a dollars, then Beatrice's payoff is a-ay where a > 0. (a) Find all pure strategy Nash equilibria of the game in which the two players choose simultaneously (thus Beatrice accepts or rejects without seeing Amir's offer). Solution: The NE are the strategy profiles in which Beatrice rejects and Amir's offer a satisfies 2-a(1-x) ≤0, i.e. r ≤a/(1+a). (b) Find all subgame perfect equilibria of the sequential game in which Amir first makes the offer and Beatrice observes the offer…Type out the correct answer ASAP with proper explanation of it In the Ultimatum Game, player 1 is given some money (e.g. $10; this is public knowledge), and may give some or all of this to player 2. In turn, player 2 may accept player 1’s offer, in which case the game is over; or player 2 may reject player 1’s offer, in which case neither player gets any money, and the game is over. a. If you are player 2 and strictly rational, explain why you would accept any positive offer from player 1. b. In reality, many players reject offers from player 1 that are significantly below 50%. WhyConsider the following game: you and a partner on a school project are asked to evaluate the other, privately rating them either "1 (Good)" or "0 (Bad)". After all the ratings have been done, a bonus pot of $1000 is given to the person with the highest number of points. If there is a tie, the pool is split evenly. Both players only get utility from money. Mark all of the following true statements: A. The best response to your partner rating you as Good is to rate them as Good as well. Your answer B. There is no best response in this game. C. Your partner's best response to you rating them as Bad is to also rate you as C Bad. D. Your best response to any strategy of your partner is to play "Good".
- Boris and Leo are playing an ultimatum bargaining game, with £1000 to share. Boris is the proposer. Suppose Leo has the following preferences: his utility in monetary terms is the amount of money he gets minus 40 percent of Boris's amount Which of the following statements is/are correct? a) If Leo's preferences change so that his utility in monetary terms were the amount of money he gets minus 100 percent of Boris's amount, his minimum acceptable offer would increase. b) The minimum offer Leo will accept is larger than £250. c) The description of Leo's preferences suggest that Leo is altruistic.Refer to the Ultimatum Game in Figure 17.7. Recall that the payoffs are monetary payoffs. a. Suppose that players only care about monetary payoffs, with $1 = 1 util. Find the subgame– perfect equilibrium. b. Suppose that players are imperfectly altruistic. They receive 1 util for each dollar they earn but = util for each dollar the other player earns.Write down the extensive form reflecting the new payoffs. Find the subgame–perfect equilibrium. c. Suppose that players are perfectly altruistic, receiving 1 util for each dollar in the sum of their earnings. Write down the extensive form reflecting the new payoffs. Find the subgame– perfect equilibrium. d. Suppose that players are perfectly selfless, getting 1 util for each dollar the other player earns but no utility for their own earnings. Write down the extensive form reflecting the newpayoffs. Find the subgame–perfect equilibrium. Does player 1 end up choosing the outcome that player 2 prefers?…Use the scenario below to answer the question. Chocolate raisin protein bars are Duc’s favorite dessert. A local bakery sells them for $1.00 each. Duc buys one and eats it at the bakery. Duc decides that he wants another one, but is not willing to pay full price. He knows the owner of the bakery and wants to negotiate. He offers to buy two more protein bars at $0.75 each. He plans to eat one at the store and anther one later. The bakery owner agrees to the deals. What is the total utility of Duc’s decision? 00 75 50 00
- Two friends are deciding where to go for dinner. There are three choices, which we label A, B, and C. Max prefers A to B to C. Sally prefers B to A to C. To decide which restaurant to go to, the friends adopt the following procedure: First, Max eliminates one of three choices. Then, Sally decides among the two remaining choices. Thus, Max has three strategies (eliminate A, eliminate B, and eliminate C). For each of those strategies, Sally has two choices (choose among the two remaining). a.Write down the extensive form (game tree) to represent this game. b.If Max acts non-strategically, and makes a decision in the first period to eliminate his least desirable choice, what will the final decision be? c.What is the subgame-perfect equilibrium of the above game? d. Does your answer in b. differ from your answer in c.? Explain why or why not. Only typed AnswerSuppose players A and B play a discrete ultimatum game where A proposes to split a $5 surplus and B responds by either accepting the offer or rejecting it. The offer can only be made in $1 increments. If the offer is accepted, the players' payoffs resemble the terms of the offer while if the offer is rejected, both players get zero. Also assume that players always use the strategy that all strictly positive offers are accepted, but an offer of $0 is rejected. A. What is the solution to the game in terms of player strategies and payoffs? Explain or demonstrate your answer. B. Suppose the ultimatum game is played twice if player B rejects A's initial offer. If so, then B is allowed to make a counter offer to split the $5, and if A rejects, both players get zero dollars at the end of the second round. What is the solution to this bargaining game in terms of player strategies and payoffs? Explain/demonstrate your answer. C. Suppose the ultimatum game is played twice as in (B) but now there…Consider the following game - one card is dealt to player 1 ( the sender) from a standard deck of playing cards. The card may either be red (heart or diamond) or black (spades or clubs). Player 1 observes her card, but player 2 (the receiver) does not - Player 1 decides to Play (P) or Not Play (N). If player 1 chooses not to play, then the game ends and the player receives -1 and player 2 receives 1. - If player 1 chooses to play, then player 2 observes this decision (but not the card) and chooses to Continue (C) or Quit (Q). If player 2 chooses Q, player 1 earns a payoff of 1 and player 2 a payoff of -1 regardless of player 1's card - If player 2 chooses continue, player 1 reveals her card. If the card is red, player 1 receives a payoff of 3 and player 2 a payoff of -3. If the card is black, player 1 receives a payoff of 2 and player 2 a payoff of -1 a. Draw the extensive form game b. Draw the Bayesian form game