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Problem Set 1 Question 1, 2

# Problem Set 1 Question 1, 2 - OR4350 Introduction to Game...

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OR4350 Introduction to Game Theory Spring 2010 Problem Set #1 Due : Wednesday, February 10, 2010 at noon in the dropbox (on 2 nd floor of Rhodes Hall) Reminder : Write your Section and NetID on the first page of your homework!!! Answers must always include complete explanations/justifications. 1. Binmore, Section 2.12, Number 1(a)-(e) and 6. (a) [4] Since there are 3 actions for player I at node a , 2 actions at node d , and 2 actions at node e , player I has a total of 3×2×2=12 pure strategies. Since there are 3 available actions for player II at node b and 3 actions at node c , player II has a total of 3×3=9 pure strategies. (b) [4] The 12 pure strategies of player I can be labeled: lll, llr, lrl, lrr, mll, mlr, mrl, mrr, rll, rlr, rrl, rrr. The 9 pure strategies of player II can be labeled: LL, LM, LR, ML, MM, MR, RL, RM, RR. (c) [4] [rM] (d) [4] The pure strategy pairs are ( rll , LR ), ( rll , MR ), ( rll , RR ), ( rrl , LR ), ( rrl , MR ), ( rrl , RR ). (e) [4] The strategic form of

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• '08
• SHMOYS
• Game Theory, player, pure strategies, D L L D D D D W W D L L D D D D D D D L L D D D D W D D D D D D D D W W D D D D D D D D D D D D D D D D W D L L L D D D D W W L L L D D D D D D L L L D D D D W D

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Problem Set 1 Question 1, 2 - OR4350 Introduction to Game...

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