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PoliSci30 Week 5 Notes

by: Christine Cheung

PoliSci30 Week 5 Notes Poli Sci 30

Christine Cheung
GPA 4.0

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About this Document

Professor Chwe's PoliSci30 Week 5 Notes! More examples of extensive form games
Politics and Strategy
Class Notes
PoliSci30, Chwe, Game Theory, strategic form game, extensive form game
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This 4 page Class Notes was uploaded by Christine Cheung on Sunday November 1, 2015. The Class Notes belongs to Poli Sci 30 at University of California - Los Angeles taught by Chwe in Summer 2015. Since its upload, it has received 21 views. For similar materials see Politics and Strategy in Political Science at University of California - Los Angeles.


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Date Created: 11/01/15
Week 5 Review: • If you want to find all NE of an extensive form game, you must write it as a strategic form game (table) then find the NE • If you want to only find the SPNE, then use backward induction • If there are no “ties,” there is only one SPNE • If there is a tie, there can be more than one! • Example: Random numbers 8, 5 b • Three main ideas in extensive form game o What is a strategy? ▯ Write down an arrow from all of her nodes! ▯ A complete contingent plan o Subgame perfection ▯ If in every subgame, people’s actions correspond to a NE in that subgame ▯ No non-credible threats o Backward induction ▯ Fastest way of finding SPNE • Example: Cross out game Big Question 6: Is it ever worthwhile to purposefully limit your own actions? • Yes • If you were the only person in the world, you’d never want to limit your options • But sometimes it’s more beneficial to you if there is someone else involved • Dr. Strangelove Russia Not 50, -50 attack US Doomsday -100, -100 Not 0, 0 o Say the CCCP eliminates the “not” strategy (Binds itself to using doomsday device if US attacks) CCCP Attack Doomsday US -100, -100 Not 0, 0 ▯ Now this is the SPNE—the CCCP gains by binding itself! o Now make this one big game! o Thus, the Soviet Union has an incentive to limit its options by binding itself to the doomsday device ▯ This makes the threat credible! • Example: Speed o Say that there is no hostage Shoot -100, -10 Jack Not Howard Not 20, -50 Surrender -50, 20 o Say there is a hostage Shoot Jack -100, -100 Not Howard Not Surrender 20, -50 -50, 20 o Now put them together


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