Expected utility theory

Expected utility theory
Name	Expected Utility Theory

Contents

Expected utility theory is a fundamental concept in Decision Theory, Economics, and Finance, which was heavily influenced by the works of Daniel Bernoulli, Blaise Pascal, and Pierre-Simon Laplace. The theory is closely related to the concept of Rational Choice Theory, developed by John von Neumann and Oskar Morgenstern, and has been applied in various fields, including Game Theory, Financial Economics, and Artificial Intelligence, as seen in the works of John Nash, Milton Friedman, and Marvin Minsky. The theory has been widely used in Operations Research, Management Science, and Computer Science, with notable contributions from George Dantzig, Leonid Kantorovich, and Alan Turing.

Introduction to Expected Utility Theory

Expected utility theory is a Normative Model that provides a framework for making decisions under Uncertainty, as discussed by Frank Ramsey, Bruno de Finetti, and Leonard Savage. The theory is based on the idea that a rational decision maker should choose the action that maximizes the expected utility, which is a weighted sum of the Utility of each possible outcome, as described by Vilfredo Pareto, Irving Fisher, and Kenneth Arrow. The theory has been applied in various fields, including Finance, Insurance, and Medicine, with notable contributions from Harry Markowitz, William Sharpe, and Daniel Kahneman. The concept of expected utility is closely related to the idea of Risk Aversion, which was introduced by Milton Friedman and Lester Thurow, and has been further developed by Amos Tversky and Robert Shiller.

The concept of expected utility theory has its roots in the works of Daniel Bernoulli, who introduced the idea of Utility Theory in the 18th century, as discussed by Immanuel Kant, Adam Smith, and Jeremy Bentham. The theory was further developed by John von Neumann and Oskar Morgenstern in their book Theory of Games and Economic Behavior, which introduced the concept of Expected Utility Maximization, as seen in the works of Kenneth Arrow, Gerard Debreu, and Milton Friedman. The theory has been influenced by the works of Frank Ramsey, Bruno de Finetti, and Leonard Savage, who introduced the concept of Subjective Probability, as discussed by John Maynard Keynes, Friedrich Hayek, and Karl Popper. The development of expected utility theory has been shaped by the contributions of many notable economists and mathematicians, including George Stigler, Gary Becker, and Robert Lucas, as well as Nobel Prize winners such as Milton Friedman, George Akerlof, and Joseph Stiglitz.

The mathematical formulation of expected utility theory is based on the concept of Expected Value, which is a weighted sum of the utility of each possible outcome, as described by Andrey Kolmogorov, Norbert Wiener, and Claude Shannon. The theory uses a Utility Function to represent the preferences of the decision maker, as introduced by Vilfredo Pareto and Irving Fisher, and has been further developed by Kenneth Arrow and Gerard Debreu. The expected utility of an action is calculated by multiplying the utility of each outcome by its probability and summing the results, as seen in the works of John von Neumann and Oskar Morgenstern. The theory has been applied in various fields, including Finance, Insurance, and Medicine, with notable contributions from Harry Markowitz, William Sharpe, and Daniel Kahneman, as well as Robert Merton, Myron Scholes, and Fischer Black.

Expected utility theory has been widely applied in various fields, including Finance, Insurance, and Medicine, with notable contributions from Harry Markowitz, William Sharpe, and Daniel Kahneman. The theory has been used to analyze Investment Decisions, Risk Management, and Portfolio Optimization, as seen in the works of John Bogle, Warren Buffett, and Peter Lynch. The theory has also been applied in Public Policy, Environmental Economics, and Health Economics, with notable contributions from Joseph Stiglitz, Amartya Sen, and Paul Krugman. The implications of expected utility theory are far-reaching, and have been discussed by Nobel Prize winners such as Milton Friedman, George Akerlof, and Joseph Stiglitz, as well as John Maynard Keynes, Friedrich Hayek, and Karl Popper.

Expected utility theory has been subject to various criticisms and limitations, including the Allais Paradox, which was introduced by Maurice Allais, and the Ellsberg Paradox, which was introduced by Daniel Ellsberg. The theory has been criticized for its assumption of Rationality, which has been challenged by Behavioral Economics, as seen in the works of Daniel Kahneman, Amos Tversky, and Richard Thaler. The theory has also been limited by its inability to account for Uncertainty and Ambiguity, which has been addressed by Alternative Theories, such as Prospect Theory and Regret Theory, as developed by Daniel Kahneman and Amos Tversky. The limitations of expected utility theory have been discussed by Nobel Prize winners such as Milton Friedman, George Akerlof, and Joseph Stiglitz, as well as John Maynard Keynes, Friedrich Hayek, and Karl Popper.

Expected utility theory has been extended and modified in various ways, including the development of Non-Expected Utility Theories, such as Prospect Theory and Regret Theory, as developed by Daniel Kahneman and Amos Tversky. The theory has also been extended to account for Uncertainty and Ambiguity, as seen in the works of Leonard Savage and Daniel Ellsberg. The theory has been applied in various fields, including Finance, Insurance, and Medicine, with notable contributions from Harry Markowitz, William Sharpe, and Daniel Kahneman. The variants and extensions of expected utility theory have been discussed by Nobel Prize winners such as Milton Friedman, George Akerlof, and Joseph Stiglitz, as well as John Maynard Keynes, Friedrich Hayek, and Karl Popper. Category:Decision Theory