IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v62y2016i9p2651-2667.html
   My bibliography  Save this article

Intrinsic Variability in Group and Individual Decision Making

Author

Listed:
  • Tigran Melkonyan

    (Warwick Business School, University of Warwick, Coventry CV47AL, United Kingdom)

  • Zvi Safra

    (Warwick Business School, University of Warwick, Coventry CV47AL, United Kingdom)

Abstract

The paper examines the random preference model, which can explain inherent variability of preferences in managerial and individual decision making and provides axiomatizations for the utility components of two such models differentiated by the structure of core preferences: expected utility (EU) and betweenness-like preferences. We then examine the possibility of violations of weak stochastic transitivity for these models and for a model with core dual EU preferences. Such violations correspond to the existence of Condorcet cycles, and therefore, the analysis has implications for managerial decision making and for majority rule voting. The paper also investigates implications of its findings for two popular experimental settings. This paper was accepted by James Smith, decision analysis .

Suggested Citation

  • Tigran Melkonyan & Zvi Safra, 2016. "Intrinsic Variability in Group and Individual Decision Making," Management Science, INFORMS, vol. 62(9), pages 2651-2667, September.
  • Handle: RePEc:inm:ormnsc:v:62:y:2016:i:9:p:2651-2667
    DOI: 10.1287/mnsc.2015.2255
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.2015.2255
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.2015.2255?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. William Gehrlein, 2002. "Condorcet's paradox and the likelihood of its occurrence: different perspectives on balanced preferences ," Theory and Decision, Springer, vol. 52(2), pages 171-199, March.
    2. Jörg Rieskamp & Jerome R. Busemeyer & Barbara A. Mellers, 2006. "Extending the Bounds of Rationality: Evidence and Theories of Preferential Choice," Journal of Economic Literature, American Economic Association, vol. 44(3), pages 631-661, September.
    3. Graham Loomes & Inmaculada Rodríguez-Puerta & Jose-Luis Pinto-Prades, 2014. "Comment on “A Model of Probabilistic Choice Satisfying First-Order Stochastic Dominance” by Pavlo Blavatskyy," Management Science, INFORMS, vol. 60(5), pages 1346-1350, May.
    4. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    5. Dubra, Juan & Maccheroni, Fabio & Ok, Efe A., 2004. "Expected utility theory without the completeness axiom," Journal of Economic Theory, Elsevier, vol. 115(1), pages 118-133, March.
    6. John D. Hey & Chris Orme, 2018. "Investigating Generalizations Of Expected Utility Theory Using Experimental Data," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 3, pages 63-98, World Scientific Publishing Co. Pte. Ltd..
    7. Cohen, Michele & Jaffray, Jean-Yves & Said, Tanios, 1987. "Experimental comparison of individual behavior under risk and under uncertainty for gains and for losses," Organizational Behavior and Human Decision Processes, Elsevier, vol. 39(1), pages 1-22, February.
    8. Hong, Chew Soo & Karni, Edi & Safra, Zvi, 1987. "Risk aversion in the theory of expected utility with rank dependent probabilities," Journal of Economic Theory, Elsevier, vol. 42(2), pages 370-381, August.
    9. Heller, Yuval, 2012. "Justifiable choice," Games and Economic Behavior, Elsevier, vol. 76(2), pages 375-390.
    10. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    11. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    12. Fabio Maccheroni, 2004. "Yaari's dual theory without the completeness axiom," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 701-714, March.
    13. Harless, David W & Camerer, Colin F, 1994. "The Predictive Utility of Generalized Expected Utility Theories," Econometrica, Econometric Society, vol. 62(6), pages 1251-1289, November.
    14. Gehrlein, William V. & Lepelley, Dominique, 1997. "Condorcet's paradox under the maximal culture condition," Economics Letters, Elsevier, vol. 55(1), pages 85-89, August.
    15. Michel Regenwetter & Bernard Grofman, 1998. "Approval Voting, Borda Winners, and Condorcet Winners: Evidence from Seven Elections," Management Science, INFORMS, vol. 44(4), pages 520-533, April.
    16. Eric Danan, 2010. "Randomization vs. Selection: How to Choose in the Absence of Preference?," Management Science, INFORMS, vol. 56(3), pages 503-518, March.
    17. Thomas Otter & Joe Johnson & Jörg Rieskamp & Greg Allenby & Jeff Brazell & Adele Diederich & J. Hutchinson & Steven MacEachern & Shiling Ruan & Jim Townsend, 2008. "Sequential sampling models of choice: Some recent advances," Marketing Letters, Springer, vol. 19(3), pages 255-267, December.
    18. John D. Hey, 2018. "Experimental investigations of errors in decision making under risk," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 17, pages 381-388, World Scientific Publishing Co. Pte. Ltd..
    19. Lehrer, Ehud & Teper, Roee, 2011. "Justifiable preferences," Journal of Economic Theory, Elsevier, vol. 146(2), pages 762-774, March.
    20. Faruk Gul & Wolfgang Pesendorfer, 2006. "Random Expected Utility," Econometrica, Econometric Society, vol. 74(1), pages 121-146, January.
    21. Dekel, Eddie & Lipman, Barton L & Rustichini, Aldo, 2001. "Representing Preferences with a Unique Subjective State Space," Econometrica, Econometric Society, vol. 69(4), pages 891-934, July.
    22. Mueller,Dennis C., 2003. "Public Choice III," Cambridge Books, Cambridge University Press, number 9780521894753.
    23. Eddie Dekel & Barton L Lipman & Aldo Rustichini & Todd Sarver, 2007. "Representing Preferences with a Unique Subjective State Space: A Corrigendum -super-1," Econometrica, Econometric Society, vol. 75(2), pages 591-600, March.
    24. Amartya Sen, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 381-393.
    25. Juan Dubra & Fabio Maccheroni & Efe A. Ok, 2004. "Expected Utility Without the Completeness Axiom," Yale School of Management Working Papers ysm404, Yale School of Management.
    26. A. S. Tangian, 2000. "Unlikelihood of Condorcet's paradox in a large society," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(2), pages 337-365.
    27. Machina, Mark J, 1982. ""Expected Utility" Analysis without the Independence Axiom," Econometrica, Econometric Society, vol. 50(2), pages 277-323, March.
    28. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-577, May.
    29. Felipe A. Csaszar & J. P. Eggers, 2013. "Organizational Decision Making: An Information Aggregation View," Management Science, INFORMS, vol. 59(10), pages 2257-2277, October.
    30. Pavlo R. Blavatskyy, 2011. "A Model of Probabilistic Choice Satisfying First-Order Stochastic Dominance," Management Science, INFORMS, vol. 57(3), pages 542-548, March.
    31. Iverson, G. & Falmagne, J. -C., 1985. "Statistical issues in measurement," Mathematical Social Sciences, Elsevier, vol. 10(2), pages 131-153, October.
    32. Efe A. Ok & Pietro Ortoleva & Gil Riella, 2012. "Incomplete Preferences Under Uncertainty: Indecisiveness in Beliefs versus Tastes," Econometrica, Econometric Society, vol. 80(4), pages 1791-1808, July.
    33. Loomes, Graham & Starmer, Chris & Sugden, Robert, 1991. "Observing Violations of Transitivity by Experimental Methods," Econometrica, Econometric Society, vol. 59(2), pages 425-439, March.
    34. David S. Ahn & Todd Sarver, 2013. "Preference for Flexibility and Random Choice," Econometrica, Econometric Society, vol. 81(1), pages 341-361, January.
    35. Grether, David M & Plott, Charles R, 1979. "Economic Theory of Choice and the Preference Reversal Phenomenon," American Economic Review, American Economic Association, vol. 69(4), pages 623-638, September.
    36. Amartya Sen, 1999. "The Possibility of Social Choice," American Economic Review, American Economic Association, vol. 89(3), pages 349-378, June.
    37. Tsogbadral Galaabaatar & Edi Karni, 2013. "Subjective Expected Utility With Incomplete Preferences," Econometrica, Econometric Society, vol. 81(1), pages 255-284, January.
    38. Gehrlein, William V., 1981. "The expected probability of Condorcet's paradox," Economics Letters, Elsevier, vol. 7(1), pages 33-37.
    39. Dekel, Eddie, 1986. "An axiomatic characterization of preferences under uncertainty: Weakening the independence axiom," Journal of Economic Theory, Elsevier, vol. 40(2), pages 304-318, December.
    40. Peter Fishburn & William Gehrlein, 1980. "Social homogeneity and Condorcet's paradox," Public Choice, Springer, vol. 35(4), pages 403-419, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Karni, Edi & Safra, Zvi, 2016. "A theory of stochastic choice under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 164-173.
    2. Yelin Fu & Yubing Sui & Hao Luo & Biao Han, 2020. "Application of Social Choice Theory to Modify the Value Measure of Health Systems," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 148(3), pages 1005-1019, April.
    3. Cheng, Xiu & Long, Ruyin & Chen, Hong, 2020. "A policy utility dislocation model based on prospect theory: A case study of promoting policies with low-carbon lifestyle," Energy Policy, Elsevier, vol. 137(C).
    4. Fu, Yelin & Lai, Kin Keung & Yu, Lean, 2021. "Multi-nation comparisons of energy architecture performance: A group decision-making method with preference structure and acceptability analysis," Energy Economics, Elsevier, vol. 96(C).
    5. Fan Liu & Ning Ma, 2019. "Multicriteria ABC Inventory Classification Using the Social Choice Theory," Sustainability, MDPI, vol. 12(1), pages 1-19, December.
    6. Song, Lianlian & Fu, Yelin & Zhou, Peng & Lai, Kin Keung, 2017. "Measuring national energy performance via Energy Trilemma Index: A Stochastic Multicriteria Acceptability Analysis," Energy Economics, Elsevier, vol. 66(C), pages 313-319.
    7. Huagui Zhu & Fan Liu, 2021. "A Group-Decision-Making Framework for Evaluating Urban Flood Resilience: A Case Study in Yangtze River," Sustainability, MDPI, vol. 13(2), pages 1-16, January.
    8. Sisi Wu & Yelin Fu & K. K. Lai & W. K. John Leung, 2018. "A Weighted Least-Square Dissimilarity Approach for Multiple Criteria ABC Inventory Classification," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(04), pages 1-12, August.
    9. Fu, Yelin & Lu, Yihe & Yu, Chen & Lai, Kin Keung, 2022. "Inter-country comparisons of energy system performance with the energy trilemma index: An ensemble ranking methodology based on the half-quadratic theory," Energy, Elsevier, vol. 261(PA).
    10. Yelin Fu & Kong Xiangtianrui & Hao Luo & Lean Yu, 2020. "Constructing Composite Indicators with Collective Choice and Interval-Valued TOPSIS: The Case of Value Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 152(1), pages 117-135, November.
    11. Yang Ding & Yelin Fu & Kin Keung Lai & W. K. John Leung, 2018. "Using Ranked Weights and Acceptability Analysis to Construct Composite Indicators: A Case Study of Regional Sustainable Society Index," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 139(3), pages 871-885, October.
    12. Chen, Sihua & Du, Jiangze & He, Wei & Siponen, Mikko, 2022. "Supply chain finance platform evaluation based on acceptability analysis," International Journal of Production Economics, Elsevier, vol. 243(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chew, Soo Hong & Miao, Bin & Shen, Qiang & Zhong, Songfa, 2022. "Multiple-switching behavior in choice-list elicitation of risk preference," Journal of Economic Theory, Elsevier, vol. 204(C).
    2. Robert G. Chambers & Tigran Melkonyan & John Quiggin, 2022. "Incomplete preferences, willingness to pay, and willingness to accept," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(3), pages 727-761, October.
    3. Simone Cerreia‐Vioglio & David Dillenberger & Pietro Ortoleva, 2015. "Cautious Expected Utility and the Certainty Effect," Econometrica, Econometric Society, vol. 83, pages 693-728, March.
    4. Koida, Nobuo, 2022. "Indecisiveness, preference for flexibility, and a unique subjective state space," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    5. Blavatskyy, Pavlo, 2013. "Which decision theory?," Economics Letters, Elsevier, vol. 120(1), pages 40-44.
    6. Stoye, Jörg, 2015. "Choice theory when agents can randomize," Journal of Economic Theory, Elsevier, vol. 155(C), pages 131-151.
    7. Karni, Edi & Safra, Zvi, 2016. "A theory of stochastic choice under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 164-173.
    8. Daniel Navarro-Martinez & Graham Loomes & Andrea Isoni & David Butler & Larbi Alaoui, 2018. "Boundedly rational expected utility theory," Journal of Risk and Uncertainty, Springer, vol. 57(3), pages 199-223, December.
    9. Guo, Liang, 2021. "Contextual deliberation and the choice-valuation preference reversal," Journal of Economic Theory, Elsevier, vol. 195(C).
    10. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2017. "Stochastic Dominance Analysis Without the Independence Axiom," Management Science, INFORMS, vol. 63(4), pages 1097-1109, April.
    11. Daniel R. Burghart, 2020. "The two faces of independence: betweenness and homotheticity," Theory and Decision, Springer, vol. 88(4), pages 567-593, May.
    12. Pavlo R. Blavatskyy, 2011. "A Model of Probabilistic Choice Satisfying First-Order Stochastic Dominance," Management Science, INFORMS, vol. 57(3), pages 542-548, March.
    13. Krzysztof Kontek, 2018. "Boundary effects in the Marschak-Machina triangle," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 13(6), pages 587-606, November.
    14. repec:cup:judgdm:v:13:y:2018:i:6:p:587-606 is not listed on IDEAS
    15. Karni, Edi & Zhou, Nan, 2021. "Weighted utility theory with incomplete preferences," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 116-135.
    16. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
    17. Pavlo Blavatskyy, 2014. "Stronger utility," Theory and Decision, Springer, vol. 76(2), pages 265-286, February.
    18. Cettolin, Elena & Riedl, Arno, 2019. "Revealed preferences under uncertainty: Incomplete preferences and preferences for randomization," Journal of Economic Theory, Elsevier, vol. 181(C), pages 547-585.
    19. McClellon, Morgan, 2016. "Confidence models of incomplete preferences," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 30-34.
    20. Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva & Gil Riella, 2019. "Deliberately Stochastic," American Economic Review, American Economic Association, vol. 109(7), pages 2425-2445, July.
      • Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva & Gil Riella, 2012. "Deliberately Stochastic," PIER Working Paper Archive 17-013, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 25 May 2017.
    21. McCarthy, David & Mikkola, Kalle & Thomas, Teruji, 2016. "Utilitarianism with and without expected utility," MPRA Paper 72578, University Library of Munich, Germany.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:62:y:2016:i:9:p:2651-2667. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.