Anscombe-Aumann Subjective Expected Utility Model
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Anscombe-Aumann Subjective Expected Utility Model
In decision theory, the Anscombe-Aumann subjective expected utility model (also known as Anscombe-Aumann framework, Anscombe-Aumann approach, or Anscombe-Aumann representation theorem) is a framework to formalizing subjective expected utility (SEU) developed by Frank Anscombe and Robert Aumann. Anscombe and Aumann's approach can be seen as an extension of Savage's subjective expected utility model, Savage's framework to deal with more general acts, leading to a simplification of Savage's representation theorem. It can also be described as a middle-course theory that deals with both objective uncertainty (as in the von Neumann-Morgenstern utility theorem, von Neumann-Morgenstern framework) and subjective uncertainty (as in Savage's framework). The Anscombe-Aumann framework builds upon previous work by Leonard J. Savage, Savage, John von Neumann, von Neumann, and Oskar Morgenstern, Morgenstern on the theory of choice under uncertainty and the formalization of SEU. It has since become ...
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Decision Theory
Decision theory or the theory of rational choice is a branch of probability theory, probability, economics, and analytic philosophy that uses expected utility and probabilities, probability to model how individuals would behave Rationality, rationally under uncertainty. It differs from the Cognitive science, cognitive and Behavioural sciences, behavioral sciences in that it is mainly Prescriptive economics, prescriptive and concerned with identifying optimal decision, optimal decisions for a rational agent, rather than Descriptive economics, describing how people actually make decisions. Despite this, the field is important to the study of real human behavior by Social science, social scientists, as it lays the foundations to Mathematical model, mathematically model and analyze individuals in fields such as sociology, economics, criminology, cognitive science, moral philosophy and political science. History The roots of decision theory lie in probability theory, developed by Blai ...
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