14.12 Game Theory Lecture Notes Theory of Choice
نویسنده
چکیده
We consider a set X of alternatives. Alternatives are mutually exclusive in the sense that one cannot choose two distinct alternatives at the same time. We also take the set of feasible alternatives exhaustive so that a player’s choices will always be defined. Note that this is a matter of modeling. For instance, if we have options Coffee and Tea, we define alternatives as C = Coffee but no Tea, T = Tea but no Coffee, CT = Coffee and Tea, and NT = no Coffee and no Tea. Take a relation o on X. Note that a relation on X is a subset of X ×X. A relation o is said to be complete if and only if, given any x, y ∈ X, either x o y or y o x. A relation o is said to be transitive if and only if, given any x, y, z ∈ X, [x o y and y o z]⇒ x o z.
منابع مشابه
Analyzing the Best Choice of Qatar Foreign Policy Towards Iran and Saudi Arabia in the Framework of Game theory
Since developments of the Arab world in 2011, Qatar has sought to introduce itself an important regional actor. Qatar's desire to engage in regional equations has contrasted with the policies of traditional actors such as Iran and Saudi Arabia. These paper tries to explain Qatar's foreign policy toward its regional rivals, Iran and Saudi Arabia, through statistical and mathematical data, by lin...
متن کاملLectures on Frugal Mechanism Design
These lecture notes cover two lectures from EECS 510, Algorithmic Mechanism Design, offered at Northwestern University in the Spring 2008 term. They cover the topic of frugality in mechanism design. Prerequisites for reading these lecture notes are basic understanding of algorithms and complexity as well as elementary calculus and probability theory. I will also assume that the reader has acces...
متن کاملLecture Notes on Winning Strategies & Regions
This lecture continues the study of hybrid games and their logic, differential game logic [Pla15], that Lecture 20 on Hybrid Systems & Games started. Lecture 20 saw the introduction of differential game logic with a focus on identifying and highlighting the new dynamical aspect of adversarial dynamics. The meaning of hybrid games in differential game logic had been left informal, based on the i...
متن کاملComplexity Theory, Game Theory, and Economics
This document collects the lecture notes from my mini-course"Complexity Theory, Game Theory, and Economics,"taught at the Bellairs Research Institute of McGill University, Holetown, Barbados, February 19--23, 2017, as the 29th McGill Invitational Workshop on Computational Complexity. The goal of this mini-course is twofold: (i) to explain how complexity theory has helped illuminate several barr...
متن کامل