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Rethinking Risk Attitude: Aspiration as Pure Risk

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Abstract

There exists no completely satisfactory theory of risk attitude in current normative decision theories. Existing notions confound attitudes to pure risk with unrelated psychological factors such as strength of preference for certain outcomes, and probability weighting. In addition traditional measures of risk attitude frequently cannot be applied to non-numerical consequences, and are not psychologically intuitive. I develop Pure Risk theory which resolves these problems – it is consistent with existing normative theories, and both internalises and generalises the intuitive notion of risk being related to the probability of not achieving one’s aspirations. Existing models which ignore pure risk attitudes may be misspecified, and effects hitherto modelled as loss aversion or utility curvature may be due instead to Pure Risk attitudes.

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References

  • P. Artzner F. Delbaen J.-M. Eber D. Heath (1999) ArticleTitleCoherent measures of risk Mathematical Finance 9 203–228 Occurrence Handle10.1111/1467-9965.00068

    Article  Google Scholar 

  • V.S. Bawa (1975) ArticleTitleOptimal rules for ordering uncertain prospects Journal of Financial Economics 2 95–121 Occurrence Handle10.1016/0304-405X(75)90025-2

    Article  Google Scholar 

  • D.E. Bell H. Raiffa (1988) Marginal value and intrinsic risk aversion D.E. Bell H. Raiffa A. Tversky (Eds) Decision Making: Descriptive, Normative, and Prescriptive Interactions Cambridge University Press Cambridge 384–397

    Google Scholar 

  • C.F. Camerer (2003) Behavioral Game Theory: Experiments in Strategic Interaction Russel Sage Foundation New York

    Google Scholar 

  • Coombs, C.H. (1975), Portfolio theory and the measurement of risk, in Kaplan, M.F. and Schwartz, S. (eds.), Human Judgement and Decision Processes, Academic Press, New York, pp. 63–86.

  • C.H. Coombs P.E. Lehner (1981) ArticleTitleAn evaluation of two alternative models for a theory of risk: part I Journal of Experimental Psychology: Human Perception and Performance 7 1110–1123 Occurrence Handle10.1037/0096-1523.7.5.1110

    Article  Google Scholar 

  • Davies, G.B. and Satchell, S.E. (2004), The behavioural components of risk aversion, Cambridge Working Papers in Economics. Faculty of Economics, University of Cambridge.

  • Diecidue, E. and van de Ven, J. (2004), Probability of success and aspiration level: a descriptive extension of expected utility, INSEAD Working Paper 2004/99/DS.

  • E. Diecidue P.P. Wakker (2001) ArticleTitleOn the intuition of rank-dependent utility Journal of Risk and Uncertainty 23 IssueID3 281–298 Occurrence Handle10.1023/A:1011877808366

    Article  Google Scholar 

  • L.E. Dubins L.J. Savage (1976) Inequalities for Stochastic Processes: How to Gamble if You Must Dover New York

    Google Scholar 

  • J.S. Dyer R. Sarin (1982) ArticleTitleRelative risk aversion Management Science 28 IssueID8 875–886

    Google Scholar 

  • P.C. Fishburn (1982) ArticleTitleFoundations of risk measurement. II. Effects of gains on risk Journal of Mathematical Psychology 25 226–242 Occurrence Handle10.1016/0022-2496(82)90050-5

    Article  Google Scholar 

  • C. Gollier (2001) The Economics of Risk and Time The MIT Press Cambridge, Massachusetts

    Google Scholar 

  • C.A. Holt S.K. Laury (2002) ArticleTitleRisk aversion and incentive effects American Economic Review 92 IssueID5 1644–1655 Occurrence Handle10.1257/000282802762024700

    Article  Google Scholar 

  • J. Jia J.S. Dyer J.C. Butler (1999) ArticleTitleMeasures of perceived risk Management Science 45 IssueID4 519–532

    Google Scholar 

  • L.R. Keller R. Sarin M. Weber (1986) ArticleTitleEmpirical investigation of some properties of the perceived riskiness of gambles Organizational Behavior and Human Decision Processes 38 IssueID1 114–130 Occurrence Handle10.1016/0749-5978(86)90029-4

    Article  Google Scholar 

  • V. Köbberling P.P. Wakker (2005) ArticleTitleAn index of loss aversion Journal of Economic Theory 122 IssueID1 119–131 Occurrence Handle10.1016/j.jet.2004.03.009

    Article  Google Scholar 

  • L.L. Lopes (1987) ArticleTitleBetween hope and fear: the psychology of risk Advances in Experimental Social Psychology 20 255–295 Occurrence Handle10.1016/S0065-2601(08)60416-5

    Article  Google Scholar 

  • L.L. Lopes G.C. Oden (1999) ArticleTitleThe role of aspiration level in risky choice: a comparison of cumulative prospect theory and SP/A theory Journal of Mathematical Psychology 43 286–313 Occurrence Handle10.1006/jmps.1999.1259

    Article  Google Scholar 

  • R.D. Luce (1980) ArticleTitleSeveral possible measures of risk Theory and Decision 12 217–228 Occurrence Handle10.1007/BF00135033

    Article  Google Scholar 

  • Luce, R.D. (1981), Correction to ‘Several possible measures of risk’, Theory and Decision 13, 381

  • Luce, R.D. (2000), Utility of Gains and Losses: Measurement-Theoretical and Experimental Approaches. Lawrence Erlbaum Associates, Mahwah, New Jersey.

  • J.G. March Z. Shapira (1992) ArticleTitleVariable risk preferences and the focus of attention Psychological Review 99 IssueID1 172–183 Occurrence Handle10.1037/0033-295X.99.1.172

    Article  Google Scholar 

  • J.W. Payne (2006) ArticleTitleIt is whether you win or lose: The importance of the overall probabilities of winning or losing in risky choice Journal of Risk and Uncertainty 30 IssueID1 5–19 Occurrence Handle10.1007/s11166-005-5831-x

    Article  Google Scholar 

  • J.W. Payne D.J. Laughhunn R. Crum (1980) ArticleTitleTranslation of gambles and aspiration level effects in risky choice behavior Management Science 26 1039–1060 Occurrence Handle10.1287/mnsc.26.10.1039

    Article  Google Scholar 

  • J.W. Payne D.J. Laughhunn R. Crum (1981) ArticleTitleAspiration level effects in risky behavior Management Science 27 953–958

    Google Scholar 

  • H.J.M. Peters P.P. Wakker (1987) ArticleTitleConvex functions on non-convex domains Economics Letters 22 251–255 Occurrence Handle10.1016/0165-1765(86)90242-9

    Article  Google Scholar 

  • A. Pollatsek A. Tversky (1970) ArticleTitleA theory of risk Journal of Mathematical Psychology 7 540–553 Occurrence Handle10.1016/0022-2496(70)90039-8

    Article  Google Scholar 

  • J.W. Pratt (1964) ArticleTitleRisk aversion in the small and in the large Econometrica 32 122–136 Occurrence Handle10.2307/1913738

    Article  Google Scholar 

  • J. Quiggin (1982) ArticleTitleA theory of anticipated utility Journal of Economic Behavior and Organization 3 323–343 Occurrence Handle10.1016/0167-2681(82)90008-7

    Article  Google Scholar 

  • M. Rabin (2000) ArticleTitleRisk aversion and expected-utility theory: a calibration theorem Econometrica 68 IssueID5 1281–1292 Occurrence Handle10.1111/1468-0262.00158

    Article  Google Scholar 

  • M. Rothschild J. Stiglitz (1970) ArticleTitleIncreasing risk: I. A definition Journal of Economic Theory 2 225–243 Occurrence Handle10.1016/0022-0531(70)90038-4

    Article  Google Scholar 

  • A.D. Roy (1952) ArticleTitleSafety first and the holding of assets Econometrica 20 IssueID3 431–439 Occurrence Handle10.2307/1907413

    Article  Google Scholar 

  • R.K. Sarin (1987) ArticleTitleSome extensions of Luce’s measures of risk Theory and Decision 22 125–141 Occurrence Handle10.1007/BF00126387

    Article  Google Scholar 

  • L.J. Savage (1954) The Foundations of Statistics Dover New York

    Google Scholar 

  • D. Schmeidler (1989) ArticleTitleSubjective probability and expected utility without additivity Econometrica 57 IssueID3 571–589 Occurrence Handle10.2307/1911053

    Article  Google Scholar 

  • H. Shefrin M. Statman (2000) ArticleTitleBehavioral portfolio theory Journal of Financial and Quantitative Analysis 35 IssueID2 127–151 Occurrence Handle10.2307/2676187

    Article  Google Scholar 

  • P. Slovic (1972) ArticleTitlePsychological study of human judgment: implications for investment decision making Journal of Finance 27 IssueID4 779–799 Occurrence Handle10.2307/2978668

    Article  Google Scholar 

  • Sokolowska, J. (2003), Risk perception and acceptance—one process or two? The impact of aspirations on perceived risk and preferences, Working Paper, Institute of Psychology, Polish Academy of Sciences.

  • J. Sokolowska A. Pohorille (2000) ArticleTitleModels of risk and choice: Challenge or danger Acta Psychologica 104 339–369 Occurrence Handle10.1016/S0001-6918(00)00036-6

    Article  Google Scholar 

  • G. Szegö (2002) ArticleTitleMeasures of risk Journal of Banking and Finance 26 1253–1272 Occurrence Handle10.1016/S0378-4266(02)00262-5

    Article  Google Scholar 

  • R.H. Thaler (1999) ArticleTitleMental accounting matters Journal of Behavioral Decision Making 12 183–206 Occurrence Handle10.1002/(SICI)1099-0771(199909)12:3<183::AID-BDM318>3.0.CO;2-F

    Article  Google Scholar 

  • A. Tversky D. Kahneman (1992) ArticleTitleAdvances in prospect theory: Cumulative representation of uncertainty Journal of Risk and Uncertainty 5 297–323 Occurrence Handle10.1007/BF00122574

    Article  Google Scholar 

  • J. Neumann Particlevon O. Morgenstern (1947) The Theory of Games and Economic Behaviour Princeton University Press Princeton

    Google Scholar 

  • M.E. Yaari (1969) ArticleTitleSome remarks on measures of risk aversion and on their uses Journal of Economic Theory 1 315–329 Occurrence Handle10.1016/0022-0531(69)90036-2

    Article  Google Scholar 

Download references

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Correspondence to Greg B. Davies.

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Davies, G.B. Rethinking Risk Attitude: Aspiration as Pure Risk. Theor Decis 61, 159–190 (2006). https://doi.org/10.1007/s11238-006-0007-y

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