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Decision analysis (DA) is the discipline comprising the philosophy, methodology, and professional practice necessary to address important decisions in a formal manner. Decision analysis includes many procedures, methods, and tools for identifying, clearly representing, and formally assessing important aspects of a decision; for prescribing a recommended course of action by applying the maximum expected-utility
axiom An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Ancient Greek word (), meaning 'that which is thought worthy or f ...
to a well-formed representation of the decision; and for translating the formal representation of a decision and its corresponding recommendation into insight for the decision maker, and other corporate and non-corporate stakeholders.


History

In 1931, mathematical philosopher Frank Ramsey pioneered the idea of
subjective probability Bayesian probability is an interpretation of the concept of probability, in which, instead of frequency or propensity of some phenomenon, probability is interpreted as reasonable expectation representing a state of knowledge or as quantification o ...
as a representation of an individual’s beliefs or uncertainties. Then, in the 1940s, mathematician John von Neumann and economist
Oskar Morgenstern Oskar Morgenstern (January 24, 1902 – July 26, 1977) was an Austrian-American economist. In collaboration with mathematician John von Neumann, he founded the mathematical field of game theory as applied to the social sciences and strategic decis ...
developed an axiomatic basis for
utility theory 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 philosoph ...
as a way of expressing an individual’s preferences over uncertain outcomes. (This is in contrast to social-choice theory, which addresses the problem of deriving group preferences from individual preferences.) Statistician
Leonard Jimmie Savage Leonard Jimmie Savage (born Leonard Ogashevitz; 20 November 1917 – 1 November 1971) was an American mathematician and statistician. Economist Milton Friedman said Savage was "one of the few people I have met whom I would unhesitatingly call a ge ...
then developed an alternate axiomatic framework for decision analysis in the early 1950s. The resulting expected-utility theory provides a complete axiomatic basis for decision making under uncertainty. Once these basic theoretical developments had been established, the methods of decision analysis were then further codified and popularized, becoming widely taught (e.g., in business schools and departments of industrial engineering). A brief and highly accessible introductory text was published in 1968 by decision theorist
Howard Raiffa Howard Raiffa (; January 24, 1924 – July 8, 2016) was an American academic who was the Frank P. Ramsey Professor (Emeritus) of Managerial Economics, a joint chair held by the Business School and Harvard Kennedy School at Harvard University. He ...
of the
Harvard Business School Harvard Business School (HBS) is the graduate business school of Harvard University, a private research university in Boston, Massachusetts. It is consistently ranked among the top business schools in the world and offers a large full-time MBA p ...
. Subsequently, in 1976, Ralph Keeney and
Howard Raiffa Howard Raiffa (; January 24, 1924 – July 8, 2016) was an American academic who was the Frank P. Ramsey Professor (Emeritus) of Managerial Economics, a joint chair held by the Business School and Harvard Kennedy School at Harvard University. He ...
extended the basics of utility theory to provide a comprehensive methodology for handling decisions involving trade-offs between multiple objectives. Engineering professor Ron Howard of Stanford University and decision analyst Jim Matheson then published, in 1977, a set of readings on decision analysis; this was expanded into a two-volume set in 1984. Subsequent textbooks and additional developments are documented below under Further reading. Although decision analysis is inherently interdisciplinary (involving contributions from mathematicians, philosophers, economists, statisticians, and cognitive psychologists), it has historically been considered a branch of operations research. In 1980, the Decision Analysis Society was formed as a special interest group within Operations Research Society of America (ORSA), which later merged with The Institute of Management Sciences (TIMS) to become the Institute for Operations Research and the Management Sciences (INFORMS). Beginning in 2004, INFORMS has published a dedicated journal for these topics, Decision Analysis. Following along with these academic developments, decision analysis has also evolved into a mature professional discipline. The method has been used to support business and public-policy decision-making since the late 1950s; applications from 1990-2001 were reviewed in the inaugural issue of Decision Analysis. Decision analysis has been especially widely adopted in the pharmaceutical industry and the oil and gas industry, since both industries regularly need to make large high-risk decisions (e.g., about investing in development of a new drug or making a major acquisition).


Methodology

Framing is the front end of decision analysis, which focuses on developing an opportunity statement (what and why), boundary conditions, success measures, a decision hierarchy, strategy table, and action items. It is sometimes believed that the application of decision analysis always requires the use of quantitative methods. In reality, however, many decisions can be made using qualitative tools that are part of the decision-analysis toolbox, such as value-focused thinking, without the need for quantitative methods. The framing process may lead to the development of an
influence diagram Influence or influencer may refer to: * Social influence, in social psychology, influence in interpersonal relationships **Minority influence, when the minority affect the behavior or beliefs of the majority * Influencer marketing, through indivi ...
or decision tree. These are commonly used graphical representations of decision-analysis problems. These graphical tools are used to represent the alternatives available to the decision maker, the uncertainties they involve, and how well the decision maker's objectives would be achieved by various final outcomes. They can also form the basis of a quantitative model when needed. For example, quantitative methods of conducting
Bayesian inference Bayesian inference is a method of statistical inference in which Bayes' theorem is used to update the probability for a hypothesis as more evidence or information becomes available. Bayesian inference is an important technique in statistics, and ...
and identifying
optimal decisions Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfi ...
using influence diagrams were developed in the 1980s, and are now incorporated in software. In a quantitative decision-analysis model, uncertainties are represented through
probabilities Probability is the branch of mathematics concerning numerical descriptions of how likely an 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 speakin ...
-- specifically, subjective probabilities. The decision maker's attitude to risk is represented by utility functions, and the attitude to trade-offs between conflicting objectives can be expressed using multi-attribute value functions or multi-attribute utility functions (if there is risk involved). (In some cases, utility functions can be replaced by the probability of achieving an uncertain aspiration level or "target".) Based on the axioms of decision analysis, the best decision to choose is the one whose consequences have the maximum expected utility (or that maximizes the probability of achieving the uncertain aspiration level). It is sometimes assumed that quantitative decision analysis can be applied only to factors that lend themselves easily to measurement (e.g., in natural units such as dollars). However, quantitative decision analysis and related methods, such as applied information economics, can also be applied even to seemingly intangible factors.


Decision analysis as a prescriptive approach

Prescriptive decision-making research focuses on how to make "optimal" decisions (based on the axioms of rationality), while descriptive decision-making research aims to explain how people actually make decisions (regardless of whether their decisions are "good" or optimal). Unsurprisingly, therefore, there are numerous situations in which decisions made by individuals depart markedly from the decisions that would be recommended by decision analysis. Some have criticized formal methods of decision analysis for allowing decision makers to avoid taking responsibility for their own decisions, and instead recommend reliance on intuition or "gut feelings". Moreover, for decisions that must be made under significant time pressure, it is not surprising that formal methods of decision analysis are of little use, with intuition and expertise becoming more important. However, when time permits, studies have demonstrated that quantitative algorithms for decision making can yield results that are superior to "unaided intuition". In addition, despite the known biases in the types of human judgments required for decision analysis, research has shown at least a modest benefit of training and feedback in reducing bias. Critics cite the phenomenon of paralysis by analysis as one possible consequence of over-reliance on decision analysis in organizations (the expense of decision analysis is in itself a factor in the analysis). However, strategies are available to reduce such risk. There is currently a great deal of interest in quantitative methods for decision making. However, many such methods depart from the axioms of decision analysis, and can therefore generate misleading recommendations under some circumstances, so are not truly prescriptive methods. Some of the most popular of such non-decision-analytic methods include fuzzy-set theory for the representation of uncertainties, and the analytic-hierarchy process for the representation of preferences or value judgments. While there may occasionally be justification for such methods in applications (e.g., based on ease of use), decision analysts would argue for multi-attribute utility theory as the gold standard to which other methods should be compared, based on its rigorous axiomatic basis. Although decision analysis has been frequently used in support of government decision making, it is important to note that the basic theory applies only to individual decision makers. There is unfortunately no axiomatic prescriptive theory comparable to decision analysis that is specifically designed for group or public-policy decisions. For more on this topic, see group decision-making for discussions of the behavioral issues involved in group decisions, and
social choice theory Social choice theory or social choice is a theoretical framework for analysis of combining individual opinions, preferences, interests, or welfares to reach a ''collective decision'' or ''social welfare'' in some sense.Amartya Sen (2008). "Soci ...
for theoretical considerations that can affect group decisions.


Applications

Decision-analytic methods have been used in a wide variety of fields, including
business Business is the practice of making one's living or making money by producing or buying and selling products (such as goods and services). It is also "any activity or enterprise entered into for profit." Having a business name does not separa ...
( planning,
marketing Marketing is the process of exploring, creating, and delivering value to meet the needs of a target market in terms of goods and services; potentially including selection of a target audience; selection of certain attributes or themes to empha ...
, negotiation), management, environmental remediation, health care, research, energy,
exploration Exploration refers to the historical practice of discovering remote lands. It is studied by geographers and historians. Two major eras of exploration occurred in human history: one of convergence, and one of divergence. The first, covering most ...
,
litigation - A lawsuit is a proceeding by a party or parties against another in the civil court of law. The archaic term "suit in law" is found in only a small number of laws still in effect today. The term "lawsuit" is used in reference to a civil act ...
and dispute resolution, etc. An important early application was a study of the pros and cons of hurricane seeding, undertaken by the Stanford Research Institute in the early 1970s for the
Environmental Science Services Administration The Environmental Science Services Administration (ESSA) was a United States Federal executive agency created in 1965 as part of a reorganization of the United States Department of Commerce. Its mission was to unify and oversee the meteorologica ...
(a predecessor of the National Oceanic and Atmospheric Administration). Decision analysis is today used by major corporations to make multibillion-dollar capital investments. For example, In 2010, Chevron won the Decision Analysis Society Practice Award for its use of decision analysis in all major decisions. In a video detailing Chevron's use of decision analysis, Chevron Vice Chairman George Kirkland notes that "decision analysis is a part of how Chevron does business for a simple, but powerful, reason: it works." It can also be used to make complex personal decisions, such as planning for retirement, deciding when to have a child, planning a major vacation, or choosing among several possible medical treatments. *Energy. Decision analysis has been used to structure the energy objectives for Germany. * Entrepreneurship. The concept of certainty equivalents from decision analysis was used to design novel and highly efficient mechanisms for funding of new businesses that are desirable to both backers and entrepreneurs. *Health Care. Decision analysis has been applied to medical decision making regarding
breast cancer Breast cancer is cancer that develops from breast tissue. Signs of breast cancer may include a lump in the breast, a change in breast shape, dimpling of the skin, milk rejection, fluid coming from the nipple, a newly inverted nipple, or a r ...
diagnosis and therapy, treatment of
thyroid cancer Thyroid cancer is cancer that develops from the tissues of the thyroid gland. It is a disease in which cells grow abnormally and have the potential to spread to other parts of the body. Symptoms can include swelling or a lump in the neck. Canc ...
, and lung cancer. * Insurance. Decision analysts have explored the use of insurance as a mechanism to encourage adoption of beneficial health behaviors. The method has also been applied to determine optimal strategies for purchase of long-term care insurance as a function of age, wealth, and risk tolerance. *Litigation. Attorneys have used decision analysis to identify strategies likely to lead to beneficial outcomes in litigation. * Portfolio Management. Decision analysis has been recommended as a method of improving resource allocations in portfolio management. *Military Planning. Decision analysis has been applied to the problem of base closure. * Radioactive Waste. Decision analysis has been used to evaluate alternatives for radioactive-waste repositories in both the United States and the United Kingdom. At a smaller scale, it has also been used to evaluate options for dealing with surplus weapons-grade plutonium. * Research and Development. Decision analysis has been used to recommend portfolios of projects to fund in research and development. * Terrorism and Homeland Security. Decision analysis has been used to represent the values of both terrorists and defenders to support homeland-security decision making.Keeney, R. L., & D. von Winterfeldt (2011) A value model for evaluating homeland security decisions. Risk Analysis, 31, 1470–1487.


Software

Decision-making software Decision-making software (DM software) is software for computer applications that help individuals and organisations make choices and take decisions, typically by ranking, prioritizing or choosing from a number of options. An early example of DM s ...
packages are available for implementing decision analysis. Some particularly notable packages include Analytica for influence diagrams, and DecideIT and Logical Decisions for multi-attribute decision making.


See also

*
Choice A choice is the range of different things from which a being can choose. The arrival at a choice may incorporate motivators and models. For example, a traveler might choose a route for a journey based on the preference of arriving at a give ...
* Decision analysis cycle *
Decision conferencing Decision conferencing is a common approach in decision analysis. It is a socio-technical process to engage key players in solving an issue of concern by (1) developing a shared understanding of the issue, (2) creating a sense of common purpose, and ...
*
Decision engineering Decision intelligence is an engineering discipline that augments data science with theory from social science, decision theory, and managerial science. Its application provides a framework for best practices in organizational decision-making an ...
* Decision making software *
Decision model A decision model in decision theory is the starting point for a decision method within a formal (axiomatic) system. Decision models contain at least one action axiom. An action is in the form "IF is true, THEN do ". An action axiom tests a cond ...
*
Decision quality Decision quality (DQ) is the quality of a decision at the moment the decision is made, regardless of its outcome. Decision quality concepts permit the assurance of both effectiveness and efficiency in analyzing decision problems. In that sense, de ...
* Decision support *
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 ...
*
Influence diagram Influence or influencer may refer to: * Social influence, in social psychology, influence in interpersonal relationships **Minority influence, when the minority affect the behavior or beliefs of the majority * Influencer marketing, through indivi ...
* Management science *
Micromort A micromort (from micro- and mortality) is a unit of risk defined as a one-in-a-million chance of death. Micromorts can be used to measure the riskiness of various day-to-day activities. A microprobability is a one-in-a million chance of some ...
*
Multiple-criteria decision analysis Multiple-criteria decision-making (MCDM) or multiple-criteria decision analysis (MCDA) is a sub-discipline of operations research that explicitly evaluates multiple conflicting criteria in decision making (both in daily life and in settings ...
(MCDA) *
Optimal decision An optimal decision is a decision that leads to at least as good a known or expected outcome as all other available decision options. It is an important concept in decision theory. In order to compare the different decision outcomes, one commonly ...
*
Stochastic dominance Stochastic dominance is a partial order between random variables. It is a form of stochastic ordering In probability theory and statistics, a stochastic order quantifies the concept of one random variable being "bigger" than another. These are us ...


References


Further reading

* * * * * * * *
volume 1volume 2
* *Keeney, R. L. and Raiffa, H. (1976). ''Decisions with Multiple Objectives: Preferences and Value Tradeoffs''. Wiley, New York. Reprinted, Cambridge Univ. Press, New York (1993). ISBN 9781139174084. * * * * * * * * * *


External links


Society of Decision Professionals
the professional society supporting decision professionals as the advisors of choice when facing important, complex decisions.
Decision Analysis
, a journal of the Institute for Operations Research and the Management Sciences
Decision Analysis Society
a subdivision of the Institute for Operations Research and the Management Sciences specializing in Decision Analysis
Decision Analysis in Health Care
Online course from George Mason University providing free lectures and tools for decision analysis modeling in health care settings.
Decision Analysis Affinity Group
DAAG, has merged with and become the annual conference of the Society of Decision Professionals. Formed as an informal group of DA practitioners, DAAG was started in 1995 by Tom Spradlin, John Palmer, and David Skinner.
Decision Analysis Glossary
{{DEFAULTSORT:Decision Analysis Analysis