The explicit aim of this site is to create a stack of high quality economics related questions and answers. High quality questions are those that, along with their answers, are useful to future visitors. The purpose of this site is not to provide complete answer keys to homework questions, or to provide answers to highly specific questions unlikely to be of general interest or usefulness.
When posting a homework question, it is therefore essential that you
- demonstrate some evidence of having attempted to answer the question independently
- consider ways to write the question in a general fashion that will make it more useful to others with different (but similar) problems in the future. A rule of thumb: If your question contains numbers that are not essential to your particular problem, it is most likely too specific to be of general use. Some examples follow:
Bad Question "Alpha and Beta are shipwrecked on a desert island and are trying to split 100 kg of cornmeal (C) and 100 cocunuts (N). Alpha's utility function is: $U_{\alpha} = C + 0.5N$, while Betas utility function is $U_{\beta} = 3.5C + 3.5N$. If they do not agree to cooperate, they fight to death, with U = 0 for the loser. Given their physical differences, Beta has an 80% probability of winning the fight.Find their threat point!
Better Question Imagine a scenario in which two agents, Alpha and Beta, are splitting two goods, 100 C and 100 N. They have utility functions $U_{\alpha}(C,N)$ and $U_{\beta}(C,N)$. If they cannot agree on an outcome, they fight to death, with U = 0 for the loser. The likelihood of Beta winning is $P$ percent. How can I calculate their threat point?
Great Question Imagine a scenario in which $N$ agents, each with an individual utility function, have to allocate $M$ goods. If they cannot agree on an outcome, one of the agents (randomly drawn) will gain all the goods, while the others enjoy zero utility. How can I calculate the threat points?
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