PPT-COMP/MATH 553 Algorithmic Game Theory

Lecture 5 Myersons Optimal Auction Yang Cai Sep 17 2014 An overview of todays class Expected Revenue Expected Virtual Welfare 2 Uniform 01 Bidders Example Optimal Auction. Vazirani editors March 18 2009 Errata in 2nd Printing 2008 Chapter 14 Page 377 in the paragraph labeled Provide transit services only to customers change the sentence Therefore ASes should announce only customer routes to their providers and peers Lecture . 2. : . Myerson’s Lemma. Yang. . Cai. Sep 8,. . 2014. An overview of the class. Broad View: Mechanism. . Design. . and. . Auctions. First. . Price. . Auction. Second Price. /. Vickrey. What is it?. Use mathematics to answer biological questions. Use biology to pose interesting mathematical questions. “. Mathematics . i. s biology's next microscope. , . only better. ; . biology is mathematics’ . Fall 2011. Constantinos Daskalakis. Lecture 11. Last. . Lecture. .... 0. n. Generic PPAD. Embed PPAD graph in [0,1]. 3. 3D-SPERNER. canonical . p. .w. . linear . BROUWER. multi-player. NASH. 4-player. Lecture 10. Constantinos Daskalakis. Last . Lecture. .... 0. n. Generic PPAD. Embed PPAD graph in [0,1]. 3. 3D-SPERNER. canonical . p. .w. . linear . BROUWER. multi-player. NASH. 4-player. NASH. 3-player. Lecture 11. Constantinos Daskalakis. Algorithms for Nash . Equilibria. Simplicial. Approximation Algorithms. Support Enumeration Algorithms. Lipton-. Markakis. -Mehta. Algorithms for Symmetric Games. Lecture 3: Myerson’s Lemma. Yang. . Cai. Sep 10,. . 2014. An overview of . today’s class. Case Study: Sponsored Search Auction. Myerson’s Lemma. Back to Sponsored Search Auction. Case. . Study:. Lecture 12. Constantinos Daskalakis. The Lemke-. Howson. Algorithm. The Lemke-. Howson. Algorithm (1964). Problem:. Find an exact equilibrium of a 2-player game.. Since there exists a rational equilibrium this task is feasible.. Fall 2014. Yang Cai. Lecture 23. Exchange Market Model. traders. divisible goods. trader . i. has:. - endowment of goods. non-negative . reals. amount of goods trader comes to the marketplace with. consumption set for trader . 585/585H/185H: . Serious . Games. Introduction. Today’s agenda. Course Differences. Who’s . in the class?. Class structure. Introduction . to content. Course differences. COMP 585. Base course. Counts toward the BA . . Lecture . 08. Yang Cai. Today’s Menu. Mechanism. . Design. Single-Item Auctions. Vickrey. . Auction. The . Engineering. . side of . Game Theory/Economics. Most . of Game Theory/Economics devoted to. Fall 2016. Yang Cai. Lecture . 05. Overview so far. Recap:. Games, . rationality, . solution concepts. Existence Theorems for Nash equilibrium: . Nash’s theorem for general games (via . Brouwer. Nima. . Namvar. PhD Student. Outline. Introduction. Matching . Games. Stackelberg. Games. Coalition Games. Future works. . Part1: . Introduction. Multi-agent Systems. Agent . capabilities:. Sensing the environment. Author: . Neil . Bendle. Marketing Metrics Reference: Chapter 7. © 2014 Neil . Bendle. and Management by the Numbers, Inc.. Game Theory studies competitive and cooperative interactions.. Despite often using terms such as “players” and “games”, the ideas apply to markets and managers..