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Ergodicity Economics
Ergodicity economics is an approach to economic theory which emphasizes the ergodicity question, namely whether expectation values of stochastic processes are equal to their time averages. This yields alternative solutions to classic problems in economics. In decision theory, problems traditionally addressed using expected-utility theory have alternative solutions within ergodicity economics. Ergodicity economics also provides insights into the dynamics of economic inequality and suggests a possible solution for the equity premium puzzle. Background Relation to ergodic theory Ergodic theory is a branch of mathematics which investigates the relationship between time averages and expected values (or, equivalently, ensemble averages) in dynamical systems. Ergodicity economics inherits from this branch the probing of this relationship in the context of stochastic processes used as economic models. Early economic theory was developed at a time when the expected value had been ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Growth Rate (group Theory)
In the mathematical subject of geometric group theory, the growth rate of a group with respect to a symmetric generating set describes how fast a group grows. Every element in the group can be written as a product of generators, and the growth rate counts the number of elements that can be written as a product of length ''n''. Definition Suppose ''G'' is a finitely generated group; and ''T'' is a finite ''symmetric'' set of generators (symmetric means that if x \in T then x^ \in T ). Any element x \in G can be expressed as a word in the ''T''-alphabet : x = a_1 \cdot a_2 \cdots a_k \text a_i\in T. Consider the subset of all elements of ''G'' that can be expressed by such a word of length ≤ ''n'' :B_n(G,T) = \. This set is just the closed ball of radius ''n'' in the word metric ''d'' on ''G'' with respect to the generating set ''T'': :B_n(G,T) = \. More geometrically, B_n(G,T) is the set of vertices in the Cayley graph with respect to ''T'' that are within distan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Medium (website)
Medium is an American online publishing platform developed by Evan Williams and launched in August 2012. It is owned by A Medium Corporation. The platform is an example of social journalism, having a hybrid collection of amateur and professional people and publications, or exclusive blogs or publishers on Medium, and is regularly regarded as a blog host. Williams, previously co-founder of Blogger and Twitter, initially developed Medium as a means to publish writings and documents longer than Twitter's 140-character (now 280-character) maximum. In March 2021, Medium announced a change in its publishing strategy and business model. The change is to its mix of paid journalists working on its own publications – this will be proportionally reduced – versus its support of independent writers, which will increase. History 2012 (launched) - 2016 Evan Williams, Twitter co-founder and former CEO, created Medium to encourage users to create posts longer than the then 140-character ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability
Probability is the branch of mathematics concerning numerical descriptions of how likely an Event (probability theory), event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty."Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory", Alan Stuart and Keith Ord, 6th Ed, (2009), .William Feller, ''An Introduction to Probability Theory and Its Applications'', (Vol 1), 3rd Ed, (1968), Wiley, . The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nassim Nicholas Taleb
Nassim Nicholas Taleb (; alternatively ''Nessim ''or'' Nissim''; born 12 September 1960) is a Lebanese-American essayist, mathematical statistician, former option trader, risk analyst, and aphorist whose work concerns problems of randomness, probability, and uncertainty. ''The Sunday Times'' called his 2007 book '' The Black Swan'' one of the 12 most influential books since World War II. Taleb is the author of the ''Incerto'', a five-volume philosophical essay on uncertainty published between 2001 and 2018 (of which the best-known books are ''The Black Swan'' and ''Antifragile''). He has been a professor at several universities, serving as a Distinguished Professor of Risk Engineering at the New York University Tandon School of Engineering since September 2008. He has been co-editor-in-chief of the academic journal ''Risk and Decision Analysis'' since September 2014. He has also been a practitioner of mathematical finance, a hedge fund manager, and a derivatives trader, and i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Skin In The Game (book)
''Skin in the Game: Hidden Asymmetries in Daily Life'' (acronymed: SITG) is a 2018 nonfiction book by Nassim Nicholas Taleb, a former options trader with a background in the mathematics of probability and statistics. Taleb's thesis is that skin in the game—i.e., having a measurable risk when taking a major decision—is necessary for fairness, commercial efficiency, and risk management, as well as being necessary to understand the world. The book is part of Taleb's multi-volume philosophical essay on uncertainty, titled the '' Incerto'', which also includes ''Fooled by Randomness'' (2001), '' The Black Swan'' (2007–2010), ''The Bed of Procrustes'' (2010–2016), and '' Antifragile'' (2012). The book is dedicated to "two men of courage": Ron Paul, "a Roman among Greeks"; and Ralph Nader, "Greco-Phoenician saint". Asymmetry and missing incentives If an actor pockets some rewards from a policy they enact or support without accepting any of the risks, economists consider it ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stock
In finance, stock (also capital stock) consists of all the shares by which ownership of a corporation or company is divided.Longman Business English Dictionary: "stock - ''especially AmE'' one of the shares into which ownership of a company is divided, or these shares considered together" "When a company issues shares or stocks ''especially AmE'', it makes them available for people to buy for the first time." (Especially in American English, the word "stocks" is also used to refer to shares.) A single share of the stock means fractional ownership of the corporation in proportion to the total number of shares. This typically entitles the shareholder (stockholder) to that fraction of the company's earnings, proceeds from liquidation of assets (after discharge of all senior claims such as secured and unsecured debt), or voting power, often dividing these up in proportion to the amount of money each stockholder has invested. Not all stock is necessarily equal, as certain classe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Morningstar, Inc
Morningstar, Inc. is an American financial services firm headquartered in Chicago, Illinois and was founded by Joe Mansueto in 1984. It provides an array of investment research and investment management services. With operations in 29 countries, Morningstar's research and recommendations are considered by financial journalists as influential in the asset management industry, and a positive or negative recommendation from Morningstar analysts can drive money into or away from any given fund. Through its asset management division, the firm currently manages over . The firm also provides software and data platforms for investment professionals, including "Morningstar Research Portal", "Morningstar Direct" and "Morningstar Advisor Workstation". History Founder Joe Mansueto initially had the idea for Morningstar in 1982 while reviewing mutual fund annual reports he had requested from several prominent fund managers. However, it was only after a year working as a stock analyst for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bloomberg News
Bloomberg News (originally Bloomberg Business News) is an international news agency headquartered in New York City and a division of Bloomberg L.P. Content produced by Bloomberg News is disseminated through Bloomberg Terminals, Bloomberg Television, Bloomberg Radio, ''Bloomberg Businessweek'', ''Bloomberg Markets'', Bloomberg.com, and Bloomberg's mobile platforms. Since 2015, John Micklethwait has served as editor-in-chief. History Bloomberg News was founded by Michael Bloomberg and Matthew Winkler in 1990 to deliver financial news reporting to Bloomberg Terminal subscribers. The agency was established in 1990 with a team of six people. Winkler was first editor-in-chief. In 2010, Bloomberg News included more than 2,300 editors and reporters in 72 countries and 146 news bureaus worldwide. Beginnings (1990–1995) Bloomberg Business News was created to expand the services offered through the terminals. According to Matthew Winkler, then a writer for ''The Wall Street Journal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Utility
As a topic of economics, utility is used to model worth or value. Its usage has evolved significantly over time. The term was introduced initially as a measure of pleasure or happiness as part of the theory of utilitarianism by moral philosophers such as Jeremy Bentham and John Stuart Mill. The term has been adapted and reapplied within neoclassical economics, which dominates modern economic theory, as a utility function that represents a single consumer's preference ordering over a choice set but is not comparable across consumers. This concept of utility is personal and based on choice rather than on pleasure received, and so is specified more rigorously than the original concept but makes it less useful (and controversial) for ethical decisions. Utility function Consider a set of alternatives among which a person can make a preference ordering. The utility obtained from these alternatives is an unknown function of the utilities obtained from each alternative, not the sum of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wiener Process
In mathematics, the Wiener process is a real-valued continuous-time stochastic process named in honor of American mathematician Norbert Wiener for his investigations on the mathematical properties of the one-dimensional Brownian motion. It is often also called Brownian motion due to its historical connection with the physical process of the same name originally observed by Scottish botanist Robert Brown (Scottish botanist from Montrose), Robert Brown. It is one of the best known Lévy processes (càdlàg stochastic processes with stationary increments, stationary independent increments) and occurs frequently in pure and applied mathematics, economy, economics, quantitative finance, evolutionary biology, and physics. The Wiener process plays an important role in both pure and applied mathematics. In pure mathematics, the Wiener process gave rise to the study of continuous time martingale (probability theory), martingales. It is a key process in terms of which more complicated sto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stochastic Differential Equation
A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, resulting in a solution which is also a stochastic process. SDEs are used to model various phenomena such as stock prices or physical systems subject to thermal fluctuations. Typically, SDEs contain a variable which represents random white noise calculated as the derivative of Brownian motion or the Wiener process. However, other types of random behaviour are possible, such as jump processes. Random differential equations are conjugate to stochastic differential equations. Background Stochastic differential equations originated in the theory of Brownian motion, in the work of Albert Einstein and Smoluchowski. These early examples were linear stochastic differential equations, also called 'Langevin' equations after French physicist Langevin, describing the motion of a harmonic oscillator subject to a random force. The mathematical theory of stochasti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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