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Lec 19 - Subgame perfect equilibrium: matchmaking and strategic investments

"Lec 19 - Subgame perfect equilibrium: matchmaking and strategic investments" Game Theory (ECON 159) We analyze three games using our new solution concept, subgame perfect equilibrium (SPE). The first game involves players' trusting that others will not make mistakes. It has three Nash equilibria but only one is consistent with backward induction. We show the other two Nash equilibria are not subgame perfect: each fails to induce Nash in a subgame. The second game involves a matchmaker sending a couple on a date. There are three Nash equilibria in the dating subgame. We construct three corresponding subgame perfect equilibria of the whole game by rolling back each of the equilibrium payoffs from the subgame. Finally, we analyze a game in which a firm has to decide whether to invest in a machine that will reduce its costs of production. We learn that the strategic effects of this decision--its effect on the choices of other competing firms--can be large, and if we ignore them we will make mistakes. 00:00 - Chapter 1. Sub-game Perfect Equilibria: Example 27:22 - Chapter 2. Sub-game Perfect Equilibria: Matchmaking 34:31 - Chapter 3. Matchmaking: SPEs of the Game 49:37 - Chapter 4. Sub-game Perfect Equilibria: Strategic Investments 01:13:15 - Chapter 5. Strategic Investments: Discussion Complete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses This course was recorded in Fall 2007.

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Tags: Backward Induction Battle sexes Cournot duopoly extensive form imperfect information sets Nash equilibrium normal sub-game perfect

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