In oligopoly theory, conjectural variation is the belief that one firm has an idea about the way its competitors may react if it varies its output or price. The firm forms a conjecture about the variation in the other firm's output that will accompany any change in its own output. For example, in the classic Cournot model of oligopoly, it is assumed that each firm treats the output of the other firms as given when it chooses its output. This is sometimes called the "Nash conjecture," as it underlies the standard Nash equilibrium concept. However, alternative assumptions can be made. Suppose you have two firms producing the same good, so that the industry price is determined by the combined output of the two firms (think of the water duopoly in Cournot's original 1838 account). Now suppose that each firm has what is called the "Bertrand Conjecture" of −1. This means that if firm A increases its output, it conjectures that firm B will reduce its output to exactly offset firm A's increase, so that total output and hence price remains unchanged. With the Bertrand Conjecture, the firms act as if they believe that the market price is unaffected by their own output, because each firm believes that the other firm will adjust its output so that total output will be constant. At the other extreme is the Joint-Profit maximizing conjecture of +1. In this case, each firm believes that the other will imitate exactly any change in output it makes, which leads (with constant marginal cost) to the firms behaving like a single monopoly supplier. (Wikipedia).
What is an Injective Function? Definition and Explanation
An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez
From playlist Functions
Differential Equations | Convolution: Definition and Examples
We give a definition as well as a few examples of the convolution of two functions. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Differential Equations
Concavity and Parametric Equations Example
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Concavity and Parametric Equations Example. We find the open t-intervals on which the graph of the parametric equations is concave upward and concave downward.
From playlist Calculus
What is the difference between convex and concave
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
You don't know shit about function concatenation
Script used in this video: https://gist.github.com/Nikolaj-K/ff6e0df0c05ab5593c498cb5add88c23
From playlist Programming
What is the difference between convex and concave polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
What is the difference between concave and convex polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Lillian Ratliff - Learning via Conjectural Variations - IPAM at UCLA
Recorded 15 February 2022. Lillian Ratliff of the University of Washington presents "Learning via Conjectural Variations" at IPAM's Mathematics of Collective Intelligence Workshop. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/mathematics-of-intelligences/?tab=schedule
From playlist Workshop: Mathematics of Collective Intelligence - Feb. 15 - 19, 2022.
Is the function continuous or not
👉 Learn how to determine whether a function is continuos or not. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is defined and is equal to the limit of the function. Other
From playlist Is the Functions Continuous or Not?
Xin Zhou - Recent developments in constant mean curvature hypersurfaces I
We will survey some recent existence theory of closed constant mean curvature hypersurfaces using the min-max method. We hope to discuss some old and new open problems on this topic as well. Xin Zhou (Cornell)
From playlist Not Only Scalar Curvature Seminar
Haonan Zhang: "How far can we go with Lieb's concavity theorem and Ando's convexity theorem?"
Entropy Inequalities, Quantum Information and Quantum Physics 2021 "How far can we go with Lieb's concavity theorem and Ando's convexity theorem?" Haonan Zhang - Institute of Science and Technology Austria (IST Austria) Abstract: In a celebrated paper in 1973, Lieb proved what we now cal
From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021
Hodge Theory, between Algebraicity and Transcendence (Lecture 5) by Bruno Klingler
DISCUSSION MEETING TOPICS IN HODGE THEORY (HYBRID) ORGANIZERS: Indranil Biswas (TIFR, Mumbai, India) and Mahan Mj (TIFR, Mumbai, India) DATE: 20 February 2023 to 25 February 2023 VENUE: Ramanujan Lecture Hall and Online This is a followup discussion meeting on complex and algebraic ge
From playlist Topics in Hodge Theory - 2023
Hodge theory, between algebraicity and transcendence (Lecture 2) by Bruno Klingler
DISCUSSION MEETING TOPICS IN HODGE THEORY (HYBRID) ORGANIZERS: Indranil Biswas (TIFR, Mumbai, India) and Mahan Mj (TIFR, Mumbai, India) DATE: 20 February 2023 to 25 February 2023 VENUE: Ramanujan Lecture Hall and Online This is a followup discussion meeting on complex and algebraic ge
From playlist Topics in Hodge Theory - 2023
Olivier Fouquet - The Equivariant Tamagawa Number...
The Equivariant Tamagawa Number Conjecture for modular motives with coefficients in Hecke algebras Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo / Mercredi 17 mai 2017
From playlist Conférences Paris Pékin Tokyo
Ekaterina Amerik: Isotriviality for families given by regular foliations
Abstract: Viehweg and Zuo obtained several results concerning the moduli number in smooth families of polarized varieties with semi-ample canonical class over a quasiprojective base. These results led Viehweg to conjecture that the base of a family of maximal variation is of log-general ty
From playlist Algebraic and Complex Geometry
André NEVES - Gromov’s Weyl Law and Denseness of minimal hypersurfaces
Minimal surfaces are ubiquitous in Geometry but they are quite hard to find. For instance, Yau in 1982 conjectured that any 3-manifold admits infinitely many closed minimal surfaces but the best one knows is the existence of at least two. In a different direction, Grom
From playlist Riemannian Geometry Past, Present and Future: an homage to Marcel Berger
From the Fukaya category to curve counts via Hodge theory - Nicholas Sheridan
Nicholas Sheridan Veblen Research Instructor, School of Mathematics September 26, 2014 More videos on http://video.ias.edu
From playlist Mathematics
Assaf Naor - Extension, separation and isomorphic reverse isoperimetry
Recorded 11 February 2022. Assaf Naor of Princeton University presents "Extension, separation and isomorphic reverse isoperimetry" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/calculus-of-variations
From playlist Workshop: Calculus of Variations in Probability and Geometry
11_6_1 Contours and Tangents to Contours Part 1
A contour is simply the intersection of the curve of a function and a plane or hyperplane at a specific level. The gradient of the original function is a vector perpendicular to the tangent of the contour at a point on the contour.
From playlist Advanced Calculus / Multivariable Calculus