Mechanism design

Maskin monotonicity

Maskin monotonicity is a desired property of voting systems, suggested by Eric Maskin. Each voter reports his entire preference relation over the set of alternatives. The set of reports is called a preference profile. A social choice rule maps the preference profile to the selected alternative. For a preference profile with a chosen alternative , there is another preference profile such that the position of relative to each of the other alternatives either improves or stays the same as in . With Maskin monotonicity, should still be chosen at . Maskin monotonicity is a necessary condition for implementability in Nash equilibrium. Moreover, any social choice rule that satisfies Maskin monotonicity and another property called "no veto power" can be implemented in Nash equilibrium form if there are three or more voters. (Wikipedia).

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Monotonicity Theorem

Using the monotonicity theorem to determine when a function is increasing or decreasing.

From playlist Calculus

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Monotonicity of the Riemann zeta function and related functions - P Zvengrowski [2012]

General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences May 17, 2012 14:00, St. Petersburg, POMI, room 311 (27 Fontanka) Monotonicity of the Riemann zeta function and related functions P. Zvengrowski University o

From playlist Number Theory

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Why Haven't Global Markets Reduced Inequality? - Eric Maskin

Eric Maskin Institute for Advanced Study October 27, 2006 Eric Maskin, Albert O. Hirschmann Professor, School of Social Science. Proponents of free trade have argued that expanding global markets should reduce income inequality in poorer countries. So far, however, there is no compelling

From playlist Social Science

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Mechanism Design: The Implementation of Society's Goals - Eric Maskin

Eric Maskin Institute for Advanced Study May 12, 2008 More videos on http://video.ias.edu

From playlist Social Science

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Mechanism Design: How to Implement Social Goals - Eric Maskin

Eric Maskin Institute for Advanced Study May 2, 2008 More videos on http://video.ias.edu

From playlist Social Science

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What are Monotone Sequences? | Real Analysis

We introduce monotone sequences, monotone increasing, and monotone decreasing sequences, with plenty of examples and non-examples. We'll see how a sequence can be both increasing and decreasing, and we'll see some equivalent characterizations of increasing and decreasing sequences. #RealAn

From playlist Real Analysis

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Elections and Strategic Voting | Eric S. Maskin

Eric S. Maskin, Professor, Harvard University; Albert O. Hirschman Professor (2000--11), School of Social Science, Institute for Advanced Study Location: Wolfensohn Hall, Institute for Advanced Study, Princeton, NJ U.S. presidential elections often drive many citizens to vote strategicall

From playlist Social Science

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全髋关节置换术

(English Version: https://www.youtube.com/watch?v=DosqbEy8ecY) http://www.nucleusinc.com/ - 这个三维动画介绍了右髋关节的全髋关节置换术。该手术包括切开、露出髋关节、放置髋臼修复假体(窝)、割掉发炎的股沟头、放置股骨头假体(球)。

From playlist 在中国医学动画

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Paolo Boldi - Axioms for centrality: rank monotonicity for PageRank

https://indico.math.cnrs.fr/event/3475/attachments/2180/2562/Boldi_GomaxSlides.pdf

From playlist Google matrix: fundamentals, applications and beyond

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Koronar bypassoperasjon (CABG)

http://www.nucleushealth.com/ - Denne medisinske 3D-animasjonen viser en koronar bypass operasjonsprosedyre (CABG) brukt for å bekjempe koronararteriesykdom. Det starter med et sternal innsnitt på midtlinjen før hjertet kobles til en gjennomstrømningsmaskin som tar over hjertets plikter me

From playlist Nucleus Medisinske Animasjoner i Norsk

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Monotone Subsequence Theorem (Every Sequence has Monotone Subsequence) | Real Analysis

How nice of a subsequence does any given sequence has? We've seen that not every sequence converges, and some don't even have convergent subsequences. But today we'll prove what is sometimes called the Monotone Subsequence theorem, telling us that every sequence has a monotone subsequence.

From playlist Real Analysis

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Images of America: Institute for Advanced Study - Linda Arntzenius

Einstein Legacy Society Lecture: March 4, 2011 "Images of America: Institute for Advanced Study" Linda Arntzenius, Author In a talk sponsored by the Einstein Legacy Society, author Linda Arntzenius discusses her book, Images of America: Institute for Advanced Study. This latest addition

From playlist Einstein Legacy Society

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Learn to find the value that makes the piecewise function differentiable and continuous

👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is continuous at every point in the domain. A function

From playlist Find the Differentiability of a Function

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Rust Belt Populism: An Economic Analysis | Pia Malaney

Rust Belt Populism: An Economic Analysis | Watch the newest video from Big Think: https://bigth.ink/NewVideo Join Big Think Edge for exclusive videos: https://bigth.ink/Edge ---------------------------------------------------------------------------------- Americans understands very wel

From playlist Best Videos | Big Think

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Gonzalo Contreras: Ergodic optimization - lecture 3

We will show the proof that for generic Lipschitz functions on an expanding map there is a unique maximizing measure, and it is supported on a periodic orbit. Recording during the meeting "Dynamics beyond uniform hyperbolicity" the May 24, 2019 at the Centre International de Rencontres Ma

From playlist Dynamical Systems and Ordinary Differential Equations

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Math 031 031017 Monotone Sequence Theorem

The rational numbers have holes: square root of 2 is irrational. Bounded sequences; bounded above, bounded below. Q. Does bounded imply convergent? (No.) Q. Does convergent imply bounded? (Yes.) Proof that convergent implies bounded. Statement of Monotone Sequence Theorem. Definition

From playlist Course 3: Calculus II (Spring 2017)

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Perspectives on Social Phenomena in Online Networks

(February 16, 2011) Jon Kleinberg focuses his discussion on issues that come up when thinking about social phenomenon on the web and some how it interacts with some of the classical theories from the social sciences. Stanford University: http://www.stanford.edu/ School of Engineering:

From playlist Engineering

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Stable Homotopy Theory by Samik Basu

PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics

From playlist Dualities in Topology and Algebra (Online)

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Monotone Expanders - Constructions and Applications - Zeev Dvir

Monotone Expanders -- Constructions and Applications Zeev Dvir Princeton University; Member, School of Mathematics April 22, 2011 A Monotone Expander is an expander graph which can be decomposed into a union of a constant number of monotone matchings, under some fixed ordering of the verti

From playlist Mathematics

Related pages

Nash equilibrium | Monotonicity (mechanism design)