Game Theory 10 – chap19. Signaling games intro
Introduce signaling games and explain how PBEs are defined in these games.
Introduce signaling games and explain how PBEs are defined in these games.
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.
We explain how to define sequential rationality in dynamic Bayesian games and why traditional equilibria (SPE or NE) do not satisfy sequential rationality.
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.
Learn about independent private value auctions, the third application of a Bayesian game.
Learn about Akerlof’s lemon market, the first application of a Bayesian game. Learn when to trade lemons in equilibrium.
Learn an example of a Bayesian Nash equilibrium.
We will discuss finite/infinite games that work on the same principle for Bayesian Nash equilibrium and utilize BR to derive BNE.
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.
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.