Understanding Game Theory via Wireless Power Control [Lecture Notes]

Understanding Game Theory via Wireless Power Control

In this lecture note, we introduce the basic concepts of game theory (GT), a branch of mathematics traditionally studied and applied in the areas of economics, political science, and biology, which has emerged in the last fifteen years as an effective framework for communications, networking, and signal processing (SP). The real catalyzer has been the blooming of all issues related to distribut...

Game Theory Lecture Notes By

Note: This is a only a draft version, so there could be flaws. If you find any errors, please do send email to [email protected]. A more thorough version would be available soon in this space. In this chapter, we introduce the all important notion of pure strategy Nash equilibrium. We provide several examples to illustrate this notion. We show that pure strategy Nash equilibrium may not ex...

Lecture Notes on Game Theory

1. Extensive form games with perfect information 3 1.1. Chess 3 1.2. Definition of extensive form games with perfect information 4 1.3. The ultimatum game 5 1.4. Equilibria 5 1.5. The centipede game 6 1.6. Subgames and subgame perfect equilibria 6 1.7. Backward induction, Kuhn’s Theorem and a proof of Zermelo’s Theorem 7 2. Strategic form games 10 2.1. Definition 10 2.2. Nash equilibria 10 2.3....

14 . 12 Game Theory Lecture Notes Lectures

In these lectures, we analyze the issues arise in a dynamics context in the presence of incomplete information, such as how agents should interpret the actions the other parties take. We define perfect Bayesian Nash equilibrium, and apply it in a sequential bargaining model with incomplete information. As in the games with complete information, now we will use a stronger notion of rationality –...

Lecture Notes on Cooperative Game Theory