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(Contributing to a public good) Each of n people chooses whether or not to contribute a fixed amount toward the provision of a public good. The good is provided if and only if at least k people contribute, where 2 ≤ k ≤ n; if it is not provided, contributions are not refunded. Each person ranks outcomes from best to worst as follows: (i) any outcome in which the good is provided and she does not contribute, (ii) any outcome in which the good is provided and she contributes, (iii) any outcome in which the good is not provided and she does not contribute, (iv) any outcome in which the good is not provided and she contributes. Formulate this situation as a strategic game and find its Nash equilibria. (Is there a Nash equilibrium in which more than k people contribute? One in which k people contribute? One in which fewer than k people contribute? (Be careful!))
Use the given payoff matrix for a simultaneous move one shot game to answer the accompanying questions.
What is her payoff if she deviates to a lower or higher effort level? Is any action profile in which not all the players' effort levels are the same a Nash equilibrium?
Find the dollar weighted (simple interest) yield rate and the time weighted yield of the account for this year.
If each group had 15 officers, how would you characterize the performance of the typical officer in each squad?
In a study to estimate the portion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 63 of 100 urban residents favor the construction while only 59 of 125 suburban residents are in..
A public relations intern realizes that she forgot to assemble the consumer panel her boss asked her to do. She panics and decides to randomly ask (independent) people if they will work on the panel for an hour.
A supplier and a buyer, who are both risk neutral, play the following game, The buyer’s payoff is q^'-s^', and the supplier’s payoff is s^'-C(q^'), where C() is a strictly convex cost function with C(0)=C’(0)=0. These payoffs are commonly known.
A null hypothesis is that the average pulse rate of adults is 70. For a sample of 64 adults, the average pulse rate is 71.8. A significance test is done and the p-value is 0.02. What is the most appropriate conclusion based on α of 0.05?
In an experimental study of the effects of exercise on stress, participants are randomly assigned to either the no exercise or the exercise conditions. Identify what type of study this is-between-, within-, or matched-participants. In addition, id..
A poll by Louis Harris and Associates of 1249 adult Americans indicated that 36% believe in ghosts and 37% believe in astrology. Can you compare the proportions using inferential methods for independent binomial samples? If yes, do so. If not, exp..
You randomly call friends who could be potential partners for a dance. You think that they all respond to your requests independently of each other, and you estimate that each one s 7% likely to accept your request. Let X denote the number of call..
The following hypothetical data demonstrate the relationship. The dependent variable is a measure of language skill at age 3 for each child. Do the data indicate any significant differences? Test with α=0.05.
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