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Game Theory

Game Theory 10 – chap19. Signaling games intro

July 21, 2024July 7, 2023 by sehee

Introduce signaling games and explain how PBEs are defined in these games.

Categories Game Theory Tags expected payoffs, game theory, Jul 7 2023, PBE, perfect bayesian equilibrium, signaling games 1 Comment

Game Theory 10 – chap18. Perfect Bayesian Equilibrium

July 7, 2023July 7, 2023 by sehee

Define a perfect Bayesian equilibrium (PBE), explain its existence, how it relates to existing equilibria (NE/SPE), and finally how this relationship can be used to find a PBE.

Categories Game Theory Tags game theory, Jul 7 2023, perfect bayesian equilibrium 1 Comment

Game Theory 10 – chap17. Sequential rationality in games of imperfect information

July 7, 2023July 4, 2023 by sehee

We explain how to define sequential rationality in dynamic Bayesian games and why traditional equilibria (SPE or NE) do not satisfy sequential rationality.

Categories Game Theory Tags beliefs, dynamic bayesian games, game theory, imperfect information, Jul 4 2023, sequential rationality 9 Comments

Game Theory : Semi-Separating / Partially-Pooling Equilibrium

July 2, 2023 by sehee

This lecture introduces semi-separating equilibrium as a type of perfect Bayesian equilibrium for signaling games. A less popular but still equivalent name for it is partially-pooling equilibrium.

Categories Game Theory Tags equilibrium, game theory, Jul 2 2023, partially-pooling, semi-separating 3 Comments

Game Theory 9 – chap16. IPV Auctions

July 2, 2023June 10, 2023 by sehee

Learn about independent private value auctions, the third application of a Bayesian game.

Categories Game Theory Tags application, auctions, bayesian games, first-price auctions, game theory, IPV auctions, Jun 10 2023, william vickrey Leave a comment

Game Theory 9 – chap15. The lemon market

July 2, 2023June 6, 2023 by sehee

Learn about Akerlof’s lemon market, the first application of a Bayesian game. Learn when to trade lemons in equilibrium.

Categories Game Theory Tags bayesian games, game theory, george akerlof, Jun 6 2023, lemon market Leave a comment

Game Theory 8 – chap14. Bayesian Nash equilibrium example

July 2, 2023June 3, 2023 by sehee

Learn an example of a Bayesian Nash equilibrium.

Categories Game Theory Tags bayesian nash equilibrium, BNE, game theory, Jun 3 2023 1 Comment

Game Theory 8 – chap13. Bayesian Nash equilibrium

July 2, 2023June 3, 2023 by sehee

We will discuss finite/infinite games that work on the same principle for Bayesian Nash equilibrium and utilize BR to derive BNE.

Categories Game Theory Tags bayesian nash equilibrium, bayesian normal form, BNE, game theory, Jun 3 2023, static bayesian games Leave a comment

Game Theory 8 – chap12. Random events and incomplete information

July 2, 2023June 3, 2023 by sehee

We will learn how to model incomplete information and the basic idea. We will also see how to turn an incomplete problem into an imperfect problem.

Categories Game Theory Tags bayesian normal form, game theory, incomplete information, john harsanyi, Jun 3 2023, random events 1 Comment

Game Theory 7 – chap11. Hold-up problem exercies

July 3, 2023June 2, 2023 by sehee

Consider an example of two players deciding whether to start a business together. Draw the normal form of the equilibrium as a function of cost and find the situations in which investment occurs.

Categories Game Theory Tags game theory, hold-up problem, Jun 2 2023 1 Comment
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