Affine Pricing
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Affine Pricing
In economics, affine pricing is a situation where buying more than zero of a good gains a fixed benefit or cost, and each purchase after that gains a per-unit benefit or cost. Calculation Denoting ''T'' is the total price paid, ''q'' is the quantity in units purchased, ''p'' is a constant price per unit, and ''k'' is the fixed cost, the affine price is then calculated by T=p*q + k.Jean Tirole, 1988, The Theory of Industrial Organisation, p. 136 In mathematical language, the price is an affine function (sometimes also linear function) of the quantity bought. An example would be a cell phone A mobile phone, cellular phone, cell phone, cellphone, handphone, hand phone or pocket phone, sometimes shortened to simply mobile, cell, or just phone, is a portable telephone that can make and receive calls over a radio frequency link whil ... contract where a base price is paid each month with a per-minute price for calls. Sliding-scale price contracts achieve a similar effect, alth ...
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Economics
Economics () is the social science that studies the Production (economics), production, distribution (economics), distribution, and Consumption (economics), consumption of goods and services. Economics focuses on the behaviour and interactions of Agent (economics), economic agents and how economy, economies work. Microeconomics analyzes what's viewed as basic elements in the economy, including individual agents and market (economics), markets, their interactions, and the outcomes of interactions. Individual agents may include, for example, households, firms, buyers, and sellers. Macroeconomics analyzes the economy as a system where production, consumption, saving, and investment interact, and factors affecting it: employment of the resources of labour, capital, and land, currency inflation, economic growth, and public policies that have impact on glossary of economics, these elements. Other broad distinctions within economics include those between positive economics, desc ...
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Jean Tirole
Jean Tirole (born 9 August 1953) is a French professor of economics at Toulouse 1 Capitole University. He focuses on industrial organization, game theory, banking and finance, and economics and psychology. In 2014 he was awarded the Nobel Memorial Prize in Economic Sciences for his analysis of market power and regulation. Education Tirole received engineering degrees from the École Polytechnique in Paris in 1976, and from the École nationale des ponts et chaussées in 1978. He graduated as a member of the elite Corps of Bridges, Waters and Forests. Tirole pursued graduate studies at the Paris Dauphine University and was awarded a DEA degree in 1976 and a Doctorat de troisième cycle in decision mathematics in 1978. In 1981, he received a Ph.D. in economics from the Massachusetts Institute of Technology for his thesis titled ''Essays in economic theory'', under the supervision of Eric Maskin. Career Tirole is chairman of the board of the Jean-Jacques Laffont Foundat ...
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Affine Function
In Euclidean geometry, an affine transformation or affinity (from the Latin, ''affinis'', "connected with") is a geometric transformation that preserves lines and parallelism, but not necessarily Euclidean distances and angles. More generally, an affine transformation is an automorphism of an affine space (Euclidean spaces are specific affine spaces), that is, a function which maps an affine space onto itself while preserving both the dimension of any affine subspaces (meaning that it sends points to points, lines to lines, planes to planes, and so on) and the ratios of the lengths of parallel line segments. Consequently, sets of parallel affine subspaces remain parallel after an affine transformation. An affine transformation does not necessarily preserve angles between lines or distances between points, though it does preserve ratios of distances between points lying on a straight line. If is the point set of an affine space, then every affine transformation on can be repre ...
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Linear Function
In mathematics, the term linear function refers to two distinct but related notions: * In calculus and related areas, a linear function is a function (mathematics), function whose graph of a function, graph is a straight line, that is, a polynomial function of polynomial degree, degree zero or one. For distinguishing such a linear function from the other concept, the term Affine transformation, affine function is often used. * In linear algebra, mathematical analysis, and functional analysis, a linear function is a linear map. As a polynomial function In calculus, analytic geometry and related areas, a linear function is a polynomial of degree one or less, including the zero polynomial (the latter not being considered to have degree zero). When the function is of only one variable (mathematics), variable, it is of the form :f(x)=ax+b, where and are constant (mathematics), constants, often real numbers. The graph of a function, graph of such a function of one variable is a n ...
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Cell Phone
A mobile phone, cellular phone, cell phone, cellphone, handphone, hand phone or pocket phone, sometimes shortened to simply mobile, cell, or just phone, is a portable telephone that can make and receive calls over a radio frequency link while the user is moving within a telephone service area. The radio frequency link establishes a connection to the switching systems of a mobile phone operator, which provides access to the public switched telephone network (PSTN). Modern mobile telephone services use a cellular network architecture and, therefore, mobile telephones are called ''cellular telephones'' or ''cell phones'' in North America. In addition to telephony, digital mobile phones ( 2G) support a variety of other services, such as text messaging, multimedia messagIng, email, Internet access, short-range wireless communications (infrared, Bluetooth), business applications, video games and digital photography. Mobile phones offering only those capabilities are known as fea ...
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