Sunday, February 12, 2012

Homework 5

Homework 5 is now posted.  Sorry for the delay, I had meant to put it up on Friday but I was traveling and forgot.  Hopefully you got Raga's email with a link to the pdf in the meantime.  The homework is a short refresher/intro to game theory.  So, hopefully it's easy, but if not, talk to the TAs about it so that you can learn what's confusing you.

13 comments:

  1. In question 5, when the allocation is put to vote, who gets to vote? Does the person proposing the allocation also get a vote?

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    1. Yes, everyone (including the person proposing) gets a vote.

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  2. How do the project proposals work? do we turn them in as a group? do we just write down an idea and explain it in a paragraph?

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    1. There is a project proposal assignment linked on the course website. Please see that for the details.

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  3. Hey guys,
    RE: question 3, if a pure Nash equilibrium is found, does that mean that a (different) mixed equilibrium does not exist?

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    1. Nope. In general, there could be multiple pure and mixed Nash equilibria for a game.

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  4. Can we use tokens for the project proposal?

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    1. Yes, you can use tokens for the project proposal in the same way you used them for rankmaniac. Describe who (among the group members) tokens you'll be using when you turn it in.

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    2. Ok, one proposal per group? Can you work alone?

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    3. See the proposal writeup on the course web page. We hope that you will work in groups of 2-4. Each group will turn in three project ideas (with a 1-2 page description of each).

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  5. Is a strategy considered dominant if it is preferable to all other strategies *after* all dominated strategies are eliminated? Or must it be preferable to all other strategies, whether they are dominated or not?

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    1. When you eliminate a dominated strategy, you essentially end up with a different game altogether - a reduced game. And obviously, if a strategy is dominant in the reduced game, it doesn't necessarily have to be dominant in the original game as well. This question asks you for dominant strategies in the original game.

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  6. For the last problem, if you are confused about the timing of when the equilibrium analysis is being done, it is before the kid goes to bed the previous night. This is before nature decides whether the next morning, he is nerdy or cool. This is often referred to in economics as "ex-ante" analysis.

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