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Menu Dependence
Roughly speaking, in decision theory, game theory, and rational choice, menu dependence arises when the evaluation of alternatives for choice or the mode of selection guiding choice varies parametrically with what collection of alternatives is available for choice (i.e., with what "menu" or decision problem a decision maker is facing). Menu dependence can be accompanied by violations of various so-called consistency (or coherence) constraints, such as Sen's condition α (also known as Chernoff's Axiom, a contraction condition) and Sen's conditions γ and β (expansion conditions). While the phenomenon can arise in a variety of ways, menu dependence is often informally associated with a change in a decision maker's preferences among alternatives with the addition of irrelevant alternatives. See also * Decoy effect * '' Predictably Irrational'', book by Dan Ariely Dan Ariely ( he, דן אריאלי; born April 29, 1967) is an Israeli-American professor and author. He serv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Decision Theory
Decision theory (or the theory of choice; not to be confused with choice theory) is a branch of applied probability theory concerned with the theory of making decisions based on assigning probabilities to various factors and assigning numerical consequences to the outcome. There are three branches of decision theory: # Normative decision theory: Concerned with the identification of optimal decisions, where optimality is often determined by considering an ideal decision-maker who is able to calculate with perfect accuracy and is in some sense fully rational. # Prescriptive decision theory: Concerned with describing observed behaviors through the use of conceptual models, under the assumption that those making the decisions are behaving under some consistent rules. # Descriptive decision theory: Analyzes how individuals actually make the decisions that they do. Decision theory is closely related to the field of game theory and is an interdisciplinary topic, studied by econom ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Game Theory
Game theory is the study of mathematical models of strategic interactions among rational agents. Myerson, Roger B. (1991). ''Game Theory: Analysis of Conflict,'' Harvard University Press, p.&nbs1 Chapter-preview links, ppvii–xi It has applications in all fields of social science, as well as in logic, systems science and computer science. Originally, it addressed two-person zero-sum games, in which each participant's gains or losses are exactly balanced by those of other participants. In the 21st century, game theory applies to a wide range of behavioral relations; it is now an umbrella term for the science of logical decision making in humans, animals, as well as computers. Modern game theory began with the idea of mixed-strategy equilibria in two-person zero-sum game and its proof by John von Neumann. Von Neumann's original proof used the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathema ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rational Choice
Rational choice theory refers to a set of guidelines that help understand economic and social behaviour. The theory originated in the eighteenth century and can be traced back to political economist and philosopher, Adam Smith. The theory postulates that an individual will perform a cost-benefit analysis to determine whether an option is right for them.Gary Browning, Abigail Halcli, Frank Webster (2000). ''Understanding Contemporary Society: Theories of the Present'', London: SAGE Publications. It also suggests that an individual's self-driven rational actions will help better the overall economy. Rational choice theory looks at three concepts: rational actors, self interest and the invisible hand. Rationality can be used as an assumption for the behaviour of individuals in a wide range of contexts outside of economics. It is also used in political science, sociology, and philosophy. Overview The basic premise of rational choice theory is that the decisions made by individual ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Independence Of Irrelevant Alternatives
The independence of irrelevant alternatives (IIA), also known as binary independence or the independence axiom, is an axiom of decision theory and various social sciences. The term is used in different connotation in several contexts. Although it always attempts to provide an account of rational individual behavior or aggregation of individual preferences, the exact formulation differs widely in both language and exact content. Perhaps the easiest way to understand the axiom is how it pertains to casting a ballot. There the axiom says that if Charlie (the irrelevant alternative) enters a race between Alice and Bob, with Alice (leader) liked better than Bob (runner-up), then the individual voter who likes Charlie less than Alice will not switch his vote from Alice to Bob. Because of this, a violation of IIA is commonly referred to as the "spoiler effect": support for Charlie "spoils" the election for Alice, while it "logically" should not have. After all, Alice ''was'' liked better t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Decoy Effect
In marketing, the decoy effect (or attraction effect or asymmetric dominance effect) is the phenomenon whereby consumers will tend to have a specific change in preference between two options when also presented with a third option that is ''asymmetrically dominated''. An option is asymmetrically dominated when it is inferior in all respects to one option; but, in comparison to the other option, it is inferior in some respects and superior in others. In other words, in terms of specific attributes determining preferences, it is completely dominated by (i.e., inferior to) one option and only partially dominated by the other. When the asymmetrically dominated option is present, a higher percentage of consumers will prefer the dominating option than when the asymmetrically dominated option is absent. The asymmetrically dominated option is therefore a decoy serving to increase preference for the dominating option. The decoy effect is also an example of the violation of the independence of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Predictably Irrational
''Predictably Irrational: The Hidden Forces That Shape Our Decisions'' is a 2008 book by Dan Ariely, in which he challenges readers' assumptions about making decisions based on rational thought. Ariely explains, "My goal, by the end of this book, is to help you fundamentally rethink what makes you and the people around you tick. I hope to lead you there by presenting a wide range of scientific experiments, findings, and anecdotes that are in many cases quite amusing. Once you see how systematic certain mistakes are—how we repeat them again and again—I think you will begin to learn how to avoid some of them".Dan Ariely, Ariely, Dan, ''Predictably Irrational'', HarperCollins, 2008. The book has been republished in a "revised & expanded edition". Chapter summary Dan Ariely, Ariely discusses many modes of thinking and situations that may skew the traditional rational choice theory. There are 15 chapters in total, and the following outline the main points. The Truth about Relativi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dan Ariely
Dan Ariely ( he, דן אריאלי; born April 29, 1967) is an Israeli-American professor and author. He serves as a James B. Duke Professor of psychology and behavioral economics at Duke University. Ariely is the founder of the research institution The Center for Advanced Hindsight, as well as the co-founder of several companies implementing insights from behavioral science. Ariely's TED talks have been viewed over 15 million times. Ariely is the author of the three ''New York Times'' best sellers ''Predictably Irrational'', ''The Upside of Irrationality'', and '' The Honest Truth about Dishonesty'', as well as the books ''Dollars and Sense'', ''Irrationally Yours'' – a collection of his ''The Wall Street Journal'' advice column "Ask Ariely"; and ''Payoff'', a short TED book. Ariely appeared in several documentary films, including '' The Inventor: Out for Blood in Silicon Valley'' and produced and participated in '' (Dis)Honesty: The Truth About Lies''. Early life and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Applied Mathematics
Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models. In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics. History Historically, applied mathematics consisted principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic methods, variational ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
