Consider an ultimatum game in which a Proposer offers a two-way split of $100 to two respondents. If either of the Responders accepts but not the other, that Responder and the Proposer get the split and the other Responder gets nothing. If no one accepts, no one gets anything, including the Proposer. If both Responders accept, one is chosen at random to receive the split. The following figure shows some laboratory evidence of this ultimatum game, with the proportion offered to the Responder on the horizontal axis. Based on this information, which of the following statements is correct?

When a famous painting becomes available for sale, it is often known which museum or collector will be the likely winner. Yet, the auctioneer actively woos representatives of other museums that have no chance of winning to attend anyway. Suppose a piece of art has recently become available for sale and will be auctioned off to the highest bidder, with the winner paying an amount equal to the second highest bid. Assume that most collectors know that Valerie places a value of $15,000 on the art piece and that she values this art piece more than any other collector. Suppose that if no one else shows up, Valerie simply bids $15,000/2=$7,500 and wins the piece of art. The expected price paid by Valerie, with no other bidders present, is $________.. Suppose the owner of the artwork manages to recruit another bidder, Antonio, to the auction. Antonio is known to value the art piece at $12,000. The expected price paid by Valerie, given the presence of the second bidder Antonio, is $_______. .

A buyer and seller trade with each other for an infinite number of periods. Both parties have a discount factor of d, where 0 < d < 1. In each period both parties can play trust (T) or to play selfish (S). If both the buyer and seller play T the payoffs are 4 to each player. If both parties plays the payoffs are 3 to each player. If one player plays S and the other T, the payoffs are 6 to the player who opted for 5 and 1 to the party that opted for T. Consider the following trigger strategy. In the first period play T. In any subsequent period, play T if in every previous period the outcome was (T, T), if not play S. What is the minimum d required for this trigger strategy to be subgame perfect equilibrium? O None of the other answers are correct. O 1/4 O 1/3 O 3/4

Why is the multiplicity of equilibria in the standart Nash demand game in Nash (1953, ECMA) a problem for Nash’s purposes? How does he deal with this problem in Nash (1953)? Explain.

Analyze the following game. Create payoff bimatrices consistent with the information given. Explain your choices. Then find the maximin moves, all dominated strategies for all players. Game: Adam, Bill, and Cindy are registering for a foreign language class independently and simultaneously. The available classes are ITA100 and FRE100. They d not care much which, but they care with whom they share the class. Bill and Cindy want to be in the same class, but want to avoid Adam. Adam wants to be in the same class as Bill or Cindy, or even better, both.

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Jane is interested in buying a car from a used car dealer. Her maximum willingness to pay for thecar is 12 ($12,000). Bo, the dealer, is willing to sell the car as long as he receives at least 9($9,000). What is the Nash bargaining solution to this game?

Within a voluntary contribution game, the Nash equilibrium level of contribution is zero, but in experiments, it is often possible to sustain positive levels of contribution for a long period.  How might we best explain this? A) Participants are altruistic, and so value the payoff which other participants receive, benefiting (indirectly) from making a contribution. B) Participants believe that if they make a contribution, then other participants will be more likely to make a contribution. C) Participants in experiments believe that they have to make contributions in order to receive any payoff from their participation. D) Participants have experience of working in situations in which cooperation can be sustained for mutual benefit and so have internalised a social norm of cooperation

There are three bidders participating in a first-price auction for a painting. Each bidder has a private, independent value vi for such a painting that is drawn uniformly from [0,1] Assume that each bidder i has a linear bidding function bi=avi, where a>0. What is the bidding strategy of bidder i , namely bi in the Bayesian equilibrium?

The ultimatum game is a game in economic experiments. The first player (the proposer) receives a sum of money and proposes a fair proposal (F - 5;5) or unfair proposal (U - 8;2). The second player (the responder) chooses to either accept (A) or reject (R) this proposal. If the second player accepts, the money is split according to the proposal. If the second player rejects, neither player receives any money. 1 A 5:5 2 F R 0:0 U A 8:2 2 1. Find the subgame perfect Nash Equilibrium using backward induction. R 0;0