An evolutionary explanation of the Allais paradox
Tóm tắt
The Allais paradox constitutes a central violation of the expected utility paradigm. The paradox is typically explained by subjective probability weighing, and has motivated and shaped the leading non-expected-utility models. But why do people weigh probabilities? We suggest a new explanation for the Allais paradox based on evolutionary theory. We show that the evolutionary goal of maximizing the probability of having descendants forever (i.e. minimizing the probability of eventual extinction) predicts the Allais paradox and the common-consequence and common-ratio effects, and thus provides a rational-expectations theoretical foundation for the experimentally observed behavior.
Tài liệu tham khảo
Abbot P, Abe J, Alcock J, Alizon S, Alpedrinha JA, Andersson M et al (2011) Inclusive fitness theory and eusociality. Nature 471(7339):E1–E4
Allais M (1953) The behavior of rational man in the face of risk: critique of the postulates and axioms of the American school. Econometrica:503–546
Allais M, Hagen GM (eds) (2013) Expected utility hypotheses and the Allais paradox: contemporary discussions of the decisions under uncertainty with Allais' rejoinder, vol 21. Springer Science & Business Media
Ambrose SH (1998) Late Pleistocene human population bottlenecks, volcanic winter, and differentiation of modern humans. J Hum Evol 34(6):623–651
Ashraf Q, Galor O (2013) The 'Out of Africa' hypothesis, human genetic diversity, and comparative economic development. Am Econ Rev 103(1):1–46
Athreya KB, Ney PE, Ney PE (2004) Branching processes. Courier Corporation
Barberis NC (2013) Thirty years of prospect theory in economics: a review and assessment. J Econ Perspect 27(1):173–196
Barberis N, Huang M, Santos T (2001) Prospect theory and asset prices. Q J Econ 116(1):1–53
Barnea A, Cronqvist H, Siegel S (2010) Nature or nurture: what determines investor behavior? J Financ Econ 98(3):583–604
Baucells M, Heukamp FH (2010) Common ratio using delay. Theor Decis 68(1–2):149–158
Bell DE (1982) Regret in decision making under uncertainty. Oper Res 30(5):961–981
Benartzi S, Thaler RH (1995) Myopic loss aversion and the equity premium puzzle. Q J Econ 110(1):73–92
Benartzi S, Thaler RH (1999) Risk aversion or myopia? Choices in repeated gambles and retirement investments. Manag Sci 45(3):364–381
Berkelaar AB, Kouwenberg R, Post T (2004) Optimal portfolio choice under loss aversion. Rev Econ Stat 86(4):973–987
Birnbaum MH (2008) New paradoxes of risky decision making. Psychol Rev 115(2):463
Blavatskyy P, Ortmann A, Panchenko V (2020) How common is the common-ratio effect? Available at SSRN 3641566
Blavatskyy P, Ortmann A, Panchenko V (2022) On the experimental robustness of the Allais paradox. Am Econ J Microecon 14(1):143–163
Brennan TJ, Lo AW (2011) The origin of behavior. Q J Finance 1(01):55–108
Camerer C (1995) Individual decision making. In: Kagel JH, Roth AE (eds) Handbook of experimental economics. Princeton University Press, Princeton, NJ, pp 587–703
Cesarini D, Dawes CT, Johannesson M, Lichtenstein P, Wallace B (2009) Genetic variation in preferences for giving and risk taking. Q J Econ 124:809–842
Cesarini D, Johannesson M, Lichtenstein P, Sandewall Ö, Wallace B (2010) Genetic variation in financial decision-making. J Financ 65(5):1725–1754
Chen Y, Cramton P, List JA, Ockenfels A (2020) Market design, human behavior, and management. Manag Sci 67(9):5317–5348
Cohen D (1993) Fitness in random environments. In: Adaptation in stochastic environments. Springer, Berlin Heidelberg, pp 8–25
Cramér H (1999) Mathematical methods of statistics, vol 43. Princeton University Press, Princeton
Curry PA (2001) Decision making under uncertainty and the evolution of interdependent preferences. J Econ Theory 98(2):357–369
Daley DJ (1968) Extinction conditions for certain bisexual Galton-Watson branching processes. Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 9(4):315–322
Dawkins R (1989) The selfish gene. Oxford University Press
Dawkins R (2005) The ancestor's tale: a pilgrimage to the dawn of evolution. Houghton Mifflin Harcourt, New York
Diecidue E, Somasundaram J (2017) Regret theory: a new foundation. J Econ Theory 172:88–119
Diecidue E, Van De Ven J (2008) Aspiration level, probability of success and failure, and expected utility. Int Econ Rev 49(2):683–700
Diecidue E, Levy H, Levy M (2020) Probability dominance. Rev Econ Stat 102(5):1–15
Dyer JS, Smith JE (2020) Innovations in the science and practice of decision analysis: the role of management science. Manag Sci 67(9):5364–5378
Fan CP (2002) Allais paradox in the small. J Econ Behav Organ 49(3):411–421
Fatas E, Neugebauer T, Tamborero P (2007) How politicians make decisions: a political choice experiment. J Econ 92(2):167–196
Ferrari-Toniolo S, Bujold PM, Schultz W (2019) Probability distortion depends on choice sequence in rhesus monkeys. J Neurosci 39(15):2915–2929
Fishburn PC (1982) Nontransitive measurable utility. J Math Psychol 26(1):31–67
Frank SA, Slatkin M (1990) Evolution in a variable environment. Am Nat:244–260
Frankham R, Lees K, Montgomery ME, England PR, Lowe EH, Briscoe DA (1999) Do population size bottlenecks reduce evolutionary potential? Anim Conserv 2(4):255–260
Frankham R, Ballou SEJD, Briscoe DA, Ballou JD (2002) Introduction to conservation genetics. Cambridge university press
Friedman D (1989) The S-shaped value function as a constrained optimum. Am Econ Rev 79(5):1243–1248
Galor O, Klemp M (2019) Human genealogy reveals a selective advantage to moderate fecundity. Nat Ecol Evol 3(5):853–857
Galor O, Moav O (2002) Natural selection and the origin of economic growth. Q J Econ 117(4):1133–1191
Galor O, Özak Ö (2016) The agricultural origins of time preference. Am Econ Rev 106(10):3064–3103
Galor O, Savitskiy V (2018) Climatic roots of loss aversion, vol No. w25273. National Bureau of Economic Research
Gandelman N, Hernández-Murillo R (2013) What do happiness and health satisfaction data tell us about relative risk aversion? J Econ Psychol 39:301–312
Gillespie JH (1977) Natural selection for variances in offspring numbers: a new evolutionary principle. Am Nat 111(981):1010–1014
Gomulkiewicz R, Holt RD (1995) When does evolution by natural selection prevent extinction? Evolution 49(1):201–207
Gulcher J, Helgason A, Stefánsson K (2000) Genetic homogeneity of Icelanders. Nat Genet 26(4):395–395
Hamilton WD (1963) The evolution of altruistic behavior. Am Nat 97(896):354–356
Harris TE (2002) The theory of branching processes, vol 6. Springer, Berlin
Harrison GW (1994) Expected utility theory and the experimentalists. In: Experimental economics. Physica, Heidelberg, pp 43–73
Hawks J, Hunley K, Lee SH, Wolpoff M (2000) Population bottlenecks and Pleistocene human evolution. Mol Biol Evol 17(1):2–22
Herold F, Netzer N (2011) Probability weighting as evolutionary second-best, vol 1005. Working paper series/Socioeconomic Institute
Hirshleifer J (1977) Economics from a biological viewpoint. J Law Econ 20(1):1–52
Hirshleifer D (2020) Presidential address: social transmission Bias in economics and finance. J Financ 75(4):1779–1831
Hirshleifer, D. A. (2020b). Bringing Evolutionary Thinking into Economics and Finance: Advice for an Aspiring Economist. Available at SSRN 3692892
Hong CS, Waller WS (1986) Empirical tests of weighted utility theory. J Math Psychol 30(1):55–72
Huck S, Müller W (2012) Allais for all: revisiting the paradox in a large representative sample. J Risk Uncertain 44(3):261–293
Kahneman D, Tversky A (1979) Prospect theory: an analysis of decision under risk. Econometrica:263–291
Kendall DG (1966) Branching processes since 1873. J Lond Math Soc 1(1):385–406
Kesten H, Stigum BP (1966) A limit theorem for multidimensional Galton-Watson processes. Ann Math Stat 37(5):1211–1223
Kilka M, Weber M (2001) What determines the shape of the probability weighting function under uncertainty? Manag Sci 47(12):1712–1726
Koh PS, Reeb DM, Zhao W (2018) CEO confidence and unreported R&D. Manag Sci 64(12):5725–5747
Kuhnen CM, Chiao JY (2009) Genetic determinants of financial risk taking. PLoS One 4(2):e4362
Lakshminarayanan VR, Chen MK, Santos LR (2011) The evolution of decision-making under risk: framing effects in monkey risk preferences. J Exp Soc Psychol 47(3):689–693
Lesourne J (1977) A theory of the individual for economic analysis, vol 1. North-Holland, Amsterdam
Levy M (2015) An evolutionary explanation for risk aversion. J Econ Psychol 46:51–61
Levy H, Levy M (2021) Prospect theory, constant relative risk aversion, and the investment horizon. PLoS One 16(4):e0248904
Levy M, Lo AW (2022) Hamilton’s rule in economic decision-making. Proc Natl Acad Sci 119(16):e2108590119
List JA (2004) Neoclassical theory versus prospect theory: evidence from the marketplace. Econometrica 72(2):615–625
List JA, Haigh MS (2005) A simple test of expected utility theory using professional traders. Proc Natl Acad Sci 102(3):945–948
Lo AW (2019) Adaptive markets: financial evolution at the speed of thought. Princeton University Press, Princetone
Loomes G, Sugden R (1982) Regret theory: An alternative theory of rational choice under uncertainty. The Economic Journal 92(368):805–824
Lyons R, Pemantle R, Peres Y (1996) Biased random walks on Galton–Watson trees. Probab Theory Relat Fields 106(2):249–264
MacCrimmon KR (1968) Decisionmaking among multiple-attribute alternatives: a survey and consolidated approach. Rand Corp Santa Monica Ca
MacCrimmon KR, Larsson S (1979) Utility theory: axioms versus ‘paradoxes’. In: llais M, Hagen O (eds) Expected utility hypotheses and the Allais paradox. Springer, Dordrecht, pp 333–409
Machina MJ (1982) “Expected utility” analysis without the Independence axiom. Econometrica:277–323
Machina MJ (1987) Choice under uncertainty: problems solved and unsolved. J Econ Perspect 1(1):121–154
Mayr E (1959) Isolation as an evolutionary factor. Proc Am Philos Soc:221–230
Meginniss JR (1977) Alternatives to the expected utility rule. Unpublished dissertation, University of Chicago
Metcalfe JS (1994) Evolutionary economics and technology policy. Econ J 104(425):931–944
Morrison DG (1967) On the consistency of preferences in Allais’ paradox. Behav Sci 12(5):373–383
Netzer N (2009) Evolution of time preferences and attitudes toward risk. Am Econ Rev 99(3):937–955
Netzer N, Robson A, Steiner J, Kocourek P (2021) Endogenous Risk Attitudes. Centre for Economic Policy Research Working Paper. no. 16190. Witt U, 1993. Evolutionary economics, Aldershot
Okasha S (2007) Rational choice, risk aversion, and evolution. J Philos:217–235
Oprea R (2014) Survival versus profit maximization in a dynamic stochastic experiment. Econometrica 82(6):2225–2255
Payne JW (2005) It is whether you win or lose: the importance of the overall probabilities of winning or losing in risky choice. J Risk Uncertain 30(1):5–19
Payne JW, Laughhunn DJ, Crum R (1980) Translation of gambles and aspiration level effects in risky choice behavior. Manag Sci 26(10):1039–1060
Payne JW, Laughhunn DJ, Crum R (1981) Note—further tests of aspiration level effects in risky choice behavior. Manag Sci 27(8):953–958
Peterson JC, Bourgin DD, Agrawal M, Reichman D, Griffiths TL (2021) Using large-scale experiments and machine learning to discover theories of human decision-making. Science 372(6547):1209–1214
Prelec D (1998) The probability weighting function. Econometrica:497–527
Quiggin J (1982) A theory of anticipated utility. J Econ Behav Organ 3(4):323–343
Rabin M (2000) Risk aversion and expected-utility theory: a calibration theorem. Econometrica 68(5):1281–1292
Raiffa H (1968) Decision analysis: Introductory lectures on choices under uncertainty. MD Comput 10(5):312–28
Ramachandran S, Deshpande O, Roseman CC, Rosenberg NA, Feldman MW, Cavalli-Sforza LL (2005) Support from the relationship of genetic and geographic distance in human populations for a serial founder effect originating in Africa. Proc Natl Acad Sci 102(44):15942–15947
Rayo L, Becker GS (2007) Evolutionary efficiency and happiness. J Polit Econ 115(2):302–337
Robson AJ (1996) A biological basis for expected and non-expected utility. J Econ Theory 68(2):397–424
Robson AJ (2001a) The biological basis of economic behavior. J Econ Lit:11–33
Robson AJ (2001b) Why would nature give individuals utility functions? J Polit Econ 109(4):900–914
Robson AJ, Samuelson L (2007) The evolution of intertemporal incentives. Am Econ Rev 97(2):492–495
Robson AJ, Samuelson L (2010) The evolutionary foundations of preferences. North Holland, Handbook of Social Economics, Amsterdam
Rogers AR (1994) Evolution of time preference by natural selection. Am Econ Rev:460–481
Roy AD (1952) Safety first and the holding of assets. Econometrica:431–449
Rubin PH, Paul CW II (1979) An evolutionary model of taste for risk. Econ Inq 17(4):585–596
Samuelson L (2001) Introduction to the evolution of preferences. J Econ Theory 97(2):225–230
Schlesinger H (2003) Some remarks on the evolution of risk preferences. Geneva Pap Risk Insurance-Theory 28(2):101–104
Sinn HW (2003) Weber's law and the biological evolution of risk preferences: the selective dominance of the logarithmic utility function, 2002 Geneva risk lecture. Geneva Pap Risk Insurance Theory 28(2):87–100
Sinn HW, Weichenrieder A (1993) Biological selection of risk preferences Risk is a Construct Perceptions of Risk Perception, 67–83
Slovic P, Tversky A (1974) Who accepts Savage's axiom? Behav Sci 19(6):368–373
Spielman D, Brook BW, Frankham R (2004) Most species are not driven to extinction before genetic factors impact them. Proc Natl Acad Sci 101(42):15261–15264
Starmer C, Sugden R (1989) Probability and juxtaposition effects: an experimental investigation of the common ratio effect. J Risk Uncertain 2(2):159–178
Stauffer WR, Lak A, Bossaerts P, Schultz W (2015) Economic choices reveal probability distortion in macaque monkeys. J Neurosci 35(7):3146–3154
Steiner J, Stewart C (2016) Perceiving prospects properly. Am Econ Rev 106(7):1601–1631
Tversky A (1975) A critique of expected utility theory: Descriptive and normative considerations. Erkenntnis, pp 163–173
Tversky A, Fox CR (1995) Weighing risk and uncertainty. Psychol Rev 102(2):269
Tversky A, Kahneman D (1992) Advances in prospect theory: cumulative representation of uncertainty. J Risk Uncertain 5(4):297–323
Watson HW, Galton F (1875) On the probability of the extinction of families. J Anthropol Inst G B Irel 4:138–144
Witt U (1993) Evolutionary economics. Edward Elgar Publishing
Woodford M (2012) Prospect theory as efficient perceptual distortion. Am Econ Rev 102(3):41–46
Wu G, Gonzalez R (1999) Nonlinear decision weights in choice under uncertainty. Manag Sci 45(1):74–85
Zhang R, Brennan TJ, Lo AW (2014) The origin of risk aversion. Proc Natl Acad Sci 111(50):17777–17782
Zhong S, Israel S, Xue H, Ebstein RP, Chew SH (2009) Monoamine oxidase a gene (MAOA) associated with attitude towards longshot risks. PLoS One 4(12):e8516