Auction theory

Linkage principle

The linkage principle is a finding of auction theory. It states that auction houses have an incentive to pre-commit to revealing all available information about each lot, positive or negative. The linkage principle is seen in the art market with the tradition of auctioneers hiring art experts to examine each lot and pre-commit to provide a truthful estimate of its value. The discovery of the linkage principle was most useful in determining optimal strategy for countries in the process of auctioning off drilling rights (as well as other natural resources, such as logging rights in Canada). An independent assessment of the land in question is now a standard feature of most auctions, even if the seller country may believe that the assessment is likely to lower the value of the land rather than confirm or raise a pre-existing valuation. Failure to reveal information leads to the winning bidder incurring the discovery costs himself and lowering his maximum bid due to the expenses incurred in acquiring information. If he is not able to get an independent assessment, then his bids will take into account the possibility of downside risk. Both scenarios can be shown to lower the expected revenue of the seller. The expected sale price is raised by lowering these discovery costs of the winning bidder, and instead providing information to all bidders for free. (Wikipedia).

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Sarrus linkage 2

An embodiment of "Sarrus linkage 1". Two planes of two planar slider-crank mechanisms are not necessary to be perpendicular to each other. It is enough that they are not parallel.

From playlist Mechanisms

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Klann linkage

"The Klann linkage is a planar mechanism designed to simulate the gait of legged animal and function as a wheel replacement." From http://en.wikipedia.org/wiki/Klann_linkage . Free 3D model at https://skfb.ly/o6PHE.

From playlist Walking Machines

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What are Connected Graphs? | Graph Theory

What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling acr

From playlist Graph Theory

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Toggle linkage 1c

A riveting machine with a reciprocating piston produces a high mechanical advantage. With a constant piston driving force, the force of the orange head increases to a maximum value when green and blue links come into toggle. STEP files of this video: http://www.mediafire.com/download/6i0mm

From playlist Mechanisms

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Types Of Centrality - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

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Four-bar linkage crane

The end point of the connecting rod draws a straight line. This is used for moving load in horizontal direction. STEP files of this video: https://www.mediafire.com/file/kpr7swqgu98nj64/FourBarLinkageCraneSTEP.zip/file Inventor files of this video: http://www.mediafire.com/file/r37474jcdm

From playlist Mechanisms

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Set Theory (Part 4): Relations

Please feel free to leave comments/questions on the video and practice problems below! In this video, the notion of relation is discussed, using the interpretation of a Cartesian product as forming a grid between sets and a relation as any subset of points on this grid. This will be an im

From playlist Set Theory by Mathoma

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Trigonometry 5 The Cosine Relationship

A geometrical explanation of the law of cosines.

From playlist Trigonometry

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The Blind Watchmaker With Paul Stepahin | Exploratorium

Theo Jansen’s strandbeests are made up of many interesting organs. They have legs that take elegant strides. They have stomachs to store energy, allowing them to walk even when there’s no wind. They can even detect water and count their steps. Explore strandbeest anatomy and what it reveal

From playlist Strandbeests at the Exploratorium Summer 2016

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Geordie Williamson: Miraculous Treumann-Smith theory and geometric Satake

Abstract: This talk will be about geometric approaches to the representation theory of reductive algebraic groups in positive characteristic p. A cornerstone of the geometric theory is the geometric Satake equivalence, which gives an incarnation of the category of representations as a cate

From playlist Geordie Williamson: Representation theory and the Geometric Satake

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Branched scissor mechanisms

A new expanding mechanism! Demo kit available from Shapeways at http://shpws.me/Pi30

From playlist 3D printing

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19. Introduction Metabolism/Polysaccharides/Bioenergetics/Intro Pathways

MIT 7.05 General Biochemistry, Spring 2020 Instructor: Matthew Vander Heiden View the complete course: https://ocw.mit.edu/7-05S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62wNcIMfinU64CAfreShjpt Post shifting to remote learning during March 2020, Professor Vande

From playlist (Selected Lectures) MIT 7.05 General Biochemistry, Spring 2020

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Lec 4 | MIT 7.012 Introduction to Biology, Fall 2004

Biochemistry 3 (Prof. Robert A. Weinberg) View the complete course: http://ocw.mit.edu/7-012F04 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 7.012 Introduction to Biology, Fall 2004

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Geordie Williamson: Parity sheaves and modular representations II

This is a talk of Gordie Williamson given at the Harvard CDM Conference of November 23, 2019.

From playlist Geordie Williamson: Parity sheaves and modular representations

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New Age Linkage - Daniel Juteau

Geometric and Modular Representation Theory Seminar Topic: New Age Linkage Speaker: Daniel Juteau Affiliation: CNRS, Université Paris Diderot; Member, School of Mathematics Date: January 20, 2021 For more video please visit http://video.ias.edu

From playlist Seminar on Geometric and Modular Representation Theory

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HOW IT WORKS: Power Steering

This explains the operation of hydraulic or electric systems for assisting in turning the front wheels of vehicles.

From playlist Mechanical Engineering

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Electromagnetism - Part 2 - A Level Physics

A continuation from Electromagnetism - Part 1 - A Level

From playlist Electricity & Magnetism

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Class 19: Refolding & Kinetic Sculpture

MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class first covers research findings involving common unfoldings of boxes. Several examples of kinetic sculptures and machine

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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Spherical 6-bar linkage mechanism

Axes of all revolution joints intersect at a common point.

From playlist Mechanisms

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Collusion | Map (mathematics) | Signalling (economics) | Random variable | Monotonic function | Expected value | Symmetric function | Spectrum auction | Derivative | Density | Auction theory | Probability distribution | Bidding | Strategy (game theory)