12. Consider the same ultimatum game as in the previous questions but consider yet new preferences reflecting envy. In
particular, now assume players get 1 util per dollar earned. That is all for the player who earns at least as much as the
other. The player who earns strictly less than the other loses 1 util for each dollar difference. Which of the following is
an offer that arises in a subgame-perfect equilibrium with these preferences?
13. People are sometimes seen to give up money to make an allocation more fair. What experiment could be used to
determine if this is because people truly care about fairness or because people want to avoid the consequences of others’
spite?
The Ultimatum Game could be run to see if an even split is proposed.
The Dictator Game could be run to see if an even split is proposed.
The Battle of the Sexes could be run to see if players choose the rival’s preferred outcome.
The repeated Prisoners Dilemma could be run to see if players can tacitly collude on Silent.
14. The government is considering a mandatory savings program that forces people to save 8% of their income each year
for retirement. What behavioral biases might be used as a justification for such a program? (Choose all that apply.)
Limited cognitive ability, preventing people from being able to accurately estimate how much an investment
early in one’s career will grow.
Limited willpower, preventing people from being able to give up the pleasure of current consumption for the
benefits of consumption later in retirement.
Limited commitment power, leading the government to use the funds for current expenditures.
Risk aversion, leading people to consume now rather than wait until the uncertain future.
15. An individual has preferences consistent with prospect theory. The person takes their current wealth of $10,000 (plus
any certain additions) as their reference point. Gains above this reference point are worth +1 util. Losses below this
reference point are worth –2 utils. The person is faced with two choice problems. The first involves a choice between (A)
no gamble and (B) a gamble with an equal chance of winning $1,800 and losing $1,000. The second choice problem, the
person first has $1,000 taken away (resulting in the adjustment of the reference point). The choice is then between (C)
being given back $1,000 for sure and (D) an equal chance of winning $2,800 or nothing. What choices would the person
make?
b
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