Multiattribute Utility Theory (MAUT)

In this chapter, we provide a review of multiattribute utility theory. We begin with a brief review of single-attribute preference theory, and explore preference representations that measure a decision maker’s strength of preference and her preferences for risky alternatives. We emphasize the distinction between these two cases, and then explore the implications for multiattribute preference models. We describe the multiattribute decision problem, and discuss the conditions that allow a multiattribute preference function to be decomposed into additive and multiplicative forms under conditions of certainty and risk. The relationships among these distinct types of multiattribute preference functions are then explored, and issues related to their assessment and applications are surveyed.

[1]  A. Tversky,et al.  Foundations of Measurement, Vol. I: Additive and Polynomial Representations , 1991 .

[2]  L. J. Savage,et al.  The Foundations of Statistics , 1955 .

[3]  Peter C. Fishburn,et al.  Utility theory for decision making , 1970 .

[4]  Prospect Theory by Peter P. Wakker , 2010 .

[5]  Peter C. Fishburn,et al.  The Invention of the Independence Condition for Preferences , 1995 .

[6]  Ali E. Abbas,et al.  Normative decision making with multiattribute performance targets , 2009 .

[7]  Tadeusz Trzaskalik,et al.  Multiple objective and goal programming : recent developments , 2002 .

[8]  Peter C. Fishburn,et al.  Independence in Utility Theory with Whole Product Sets , 1965 .

[9]  D. Ellsberg Classic and Current Notions of “Measurable Utility” , 1954 .

[10]  Ali E. Abbas,et al.  One-Switch Independence for Multiattribute Utility Functions , 2011, Oper. Res..

[11]  Colin Camerer Individual Decision Making , 2020, The Handbook of Experimental Economics.

[12]  J. Neumann,et al.  Theory of games and economic behavior , 1945, 100 Years of Math Milestones.

[13]  David M. Kreps,et al.  A Course in Microeconomic Theory , 2020 .

[14]  Arthur M. Geoffrion,et al.  Objective function approximations in mathematical programming , 1977, Math. Program..

[15]  Abraham Charnes,et al.  Optimal Estimation of Executive Compensation by Linear Programming , 1955 .

[16]  P. Farquhar,et al.  Preference intensity measurement , 1989 .

[17]  Robert T. Clemen,et al.  Toward an Improved Methodology to Construct and Reconcile Decision Analytic Preference Judgments , 2013, Decis. Anal..

[18]  R. Luce,et al.  Simultaneous conjoint measurement: A new type of fundamental measurement , 1964 .

[19]  Rakesh Kumar Sarin,et al.  Strength of Preference and Risky Choice , 1982, Oper. Res..

[20]  W. Edwards,et al.  Decision Analysis and Behavioral Research , 1986 .

[21]  Peter C. Fishburn,et al.  LEXICOGRAPHIC ORDERS, UTILITIES AND DECISION RULES: A SURVEY , 1974 .

[22]  P. Wakker Prospect Theory: Frontmatter , 2010 .

[23]  A. Charnes,et al.  Goal programming and multiple objective optimizations: Part 1 , 1977 .

[24]  Howard Raiffa,et al.  Decision Making: RISKY CHOICE REVISITED , 1988 .

[25]  Patrick Suppes,et al.  Foundational aspects of theories of measurement , 1958, Journal of Symbolic Logic.

[26]  R. Hämäläinen,et al.  On the measurement of preferences in the analytic hierarchy process , 1997 .

[27]  Ricardo D. Kamenetzky THE RELATIONSHIP BETWEEN THE ANALYTIC HIERARCHY PROCESS AND THE ADDITIVE VALUE FUNCTION , 1982 .

[28]  Abraham Charnes,et al.  Management Models and Industrial Applications of Linear Programming , 1961 .

[29]  Rakesh K. Sarin,et al.  Measurable Multiattribute Value Functions , 1979, Oper. Res..

[30]  Rakesh K. Sarin,et al.  RELATIVE RISK AVERSION. , 1982 .

[31]  C. Kirkwood Strategic Decision Making , 1996 .

[32]  Ralph L. Keeney,et al.  Selecting Attributes to Measure the Achievement of Objectives , 2005, Oper. Res..

[33]  Robert F. Bordley,et al.  Multiattribute Preference Analysis with Performance Targets , 2004, Oper. Res..

[34]  Peter C. Fishburn,et al.  Nonlinear preference and utility theory , 1988 .

[35]  T. Saaty,et al.  The Analytic Hierarchy Process , 1985 .

[36]  James Ignizio,et al.  Introduction to Linear Goal Programming , 1985 .

[37]  John C. Butler,et al.  Using Attributes to Predict Objectives in Preference Models , 2006, Decis. Anal..

[38]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[39]  A. Tversky,et al.  Prospect theory: analysis of decision under risk , 1979 .

[40]  G. Debreu Topological Methods in Cardinal Utility Theory , 1959 .

[41]  James S. Dyer,et al.  A standard measure of risk and risk-value models , 1996 .

[42]  Roman Krzysztofowicz,et al.  Strength of preference and risk attitude in utility measurement , 1983 .

[43]  P. Wakker Prospect Theory: For Risk and Ambiguity , 2010 .

[44]  W. M. Gorman The Structure of Utility Functions , 1968 .

[45]  Arthur M. Geoffrion,et al.  An Interactive Approach for Multi-Criterion Optimization, with an Application to the Operation of an Academic Department , 1972 .

[46]  J. Pratt RISK AVERSION IN THE SMALL AND IN THE LARGE11This research was supported by the National Science Foundation (grant NSF-G24035). Reproduction in whole or in part is permitted for any purpose of the United States Government. , 1964 .

[47]  R. L. Keeney,et al.  Decisions with Multiple Objectives: Preferences and Value Trade-Offs , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[48]  J. Dyer Remarks on the analytic hierarchy process , 1990 .