PPT-6.896: Topics in Algorithmic Game Theory

Lecture 11 Constantinos Daskalakis Algorithms for Nash Equilibria Simplicial Approximation Algorithms Support Enumeration Algorithms Lipton Markakis Mehta Algorithms for Symmetric Games. 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. Game Theory. Christos Papadimitriou. Econ/TCS Boot Camp. Before 1995…. A few researchers did both:. v. on Neumann N. Megiddo R. E. Stearns. . Btw: . TCS = . Theoretical Computer Science =. 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 7. Constantinos Daskalakis. Sperner’s. . Lemma. (. P. n. ): For all . i. ∈ {1,…, . n. }, none of the vertices on the face . x. i. = 0 uses color . i. ; moreover, color 0 is not used by any vertex on a face . Lecture 6. Constantinos Daskalakis. Sperner. ’ . s. Lemma in . n. dimensions. A. Canonical Triangulation of [0,1]. n. Triangulation. High-dimensional analog of triangle?. in 2 dimensions: a triangle. . and. Algorithmic Trading. Chapter 4: Consolidation formation. Saeed. . Ebrahimijam. Fall 2013- 2014 . . Faculty of Business and Economics. Department of Banking and Finance. . Doğu. Lecture 18. Constantinos Daskalakis. Overview. Social Choice Theory. Gibbard-Satterwaite. Theorem. Mechanisms with . Money (Intro). Vickrey’s. Second Price Auction. Mechanisms with Money (formal). Xiaozhou Li . (. Princeton. ). David G. Andersen (CMU). Michael Kaminsky (Intel Labs). Michael J. Freedman (Princeton). How to build a fast concurrent hash table. a. lgorithm and data structure engineering. What is Game Theory?. It is . a tool used to analyze strategic behavior . and trying . to maximize . his/her payoff . of the game by anticipating the actions of the other players and responding to them . Nima. . Namvar. PhD Student. Outline. Introduction. Matching . Games. Stackelberg. Games. Coalition Games. Future works. . Part1: . Introduction. Multi-agent Systems. Agent . capabilities:. Sensing the environment. Game theory . to analyze strategic behavior:. Given a strategic environment (a “game”), and an assumption about like behavior (e.g. Nash Equilibrium), we can predict what will happen.. Mechanism design . Holography. Or . How I learned to stop worrying and love the analytic gradient. . Wesley E. Farriss and James R. . Fienup. Clrc. . 2018. Okinawa, Japan. Lecture 8. Constantinos Daskalakis. 2 point Exercise. 5. . NASH . . BROUWER (cont.):. - Final Point:. We defined BROUWER for functions in the hypercube. But Nash’s function is defined on the product of .