**Econ 4020 – Second Preliminary Exam Practice 1. 2. 3.**

Subgame-perfect equilibrium in finitely repeated games For finitely repeated games, if a stage game has only one unique Nash equilibrium, the subgame perfect equilibrium is to play without considering past actions, treating the current subgame as a one-shot game.... What is the unique Subgame Perfect Nash Equilibrium (SPNE) outcome? [Hint: sketch a timeline and use backward induction.] (b) Suppose that if the agents …

**MS&E 246 Lecture 15 Perfect Bayesian equilibrium**

– Find NE of the backwards – If there are more than one NE of the subgame, repeat this for each subgame . 39 • What are the NE and SPNE of this game? • Two NE: (D, R) and (U, L) • How many proper subgames? • Consider the proper subgame: the unique NE of the subgame is R. Therefore, (U; L) is not a SPNE • Hence (D; R) is the only SPNE • Note SPNE coincides with the outcome... To generate a unique table from this query, change the query type to a make-table query in Design view of the query. NOTE : This query returns unique data. To find duplicate records and to edit the records, or to choose which records to keep, use the Find Duplicates Query Wizard.

**Micro I1 econ.msu.edu**

– Find NE of the backwards – If there are more than one NE of the subgame, repeat this for each subgame . 39 • What are the NE and SPNE of this game? • Two NE: (D, R) and (U, L) • How many proper subgames? • Consider the proper subgame: the unique NE of the subgame is R. Therefore, (U; L) is not a SPNE • Hence (D; R) is the only SPNE • Note SPNE coincides with the outcome... Nash equilibrium of G is unique, then the outcome of the SPNE of G(T) will be unique, which is T -times repetition of the outcome of Nash equilibrium of G .

**Endogenous Timing in a Mixed Duopoly and Private Duopoly**

Find all sub game perfect Nash eq. as a function of p 2[0;1], (where p stands for the probability of the economy being in a good state and 1 p is the probability the economy will be in a bad state).... A B 5,5 1 C D 2 F 4,0 E 6,6 F 4,4 E 0,4 1 Figure 2: The game from question 2. 2. Consider the game shown in Figure 2. (a) [5] Find all the pure-strategy Nash equilibria of this game.

## How To Find The Unique Spne

### Subgame perfect equilibrium Wikipedia

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## How To Find The Unique Spne

### ProblemSet3 (1.) Backwards Induction and Subgame Perfection: Find all subgame-perfect equilibria of the following games. Explicitly write down the behavior

- Economics 101A Section Notes GSI: David Albouy Nash Equilibrium and Duopoly Theory 1 Nash Equilibrium ConsiderthecasewherethecasewithN=2ﬁrms, indexed by i=1,2.
- How can I find the unique lines and remove all duplicates from a file? My input file is . 1 1 2 3 5 5 7 7 I would like the result to be: 2 3 sort file uniq will not do the job.
- the mixed strategy (0.5U+0.5D) and therefore Player 1 can mix between only U and D. Player 2 LR U 3,1 0,2 Player 1 M 1,2 1,1 D 0,4 3,1 In other words ﬁnding its mixed strategy Nash equilibria is equivalent to ﬁnding the mixed Nash equilibria of the following game: Player 2 LR Player 1 U 3,1 0,2 D 0,4 3,1 • Indeed only the strategies that survive iterated elimination of dominated
- (a) Find all pooling perfect Bayesian equilibria. (b) Find all separating perfect Bayesian equilibria. (c) Using the Cho-Kreps intuitive criterion, find the unique 'sensible' PBE.

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