“…Approaches which have done one or both these things include: Allais' theory of random choice (see Allais, 1988; Anticipated or Rank dependent utility (see Quiggin, 1982;Quiggin & Wakker, 1994); Cumulative Prospect theory (see Tversky & Kahneman, 1992); Disappointment aversion theory (see, Gul, 1991;Grant & Kajii, 1998); Implicit (or linear) expected utility theory (see Yu, 2008); Implicit rank linear utility theory (see Luce & Fishburn, 1991;Carlier, 2008); Implicit weighed utility theory (see Cheung, 1992 for theory and Hu et al, 2012) for an application to transport choice); Generalised expected utility theory (see Machina, 1987;Quiggin, 1995;Chu and Halpern, 2008 for theory and Sopher and Gigliotti, 1997 for some tests); Perspective theory (see Hu, 2013); Prospect theory (see Kahneman & Tversky, 1979;Barberis, 2013); Prospective reference theory (see Viscusi, 1989 for theory and Harless, 1993 for some tests); Regret theory (see Bell, 1982;Loomes & Sugden, 1982 for the theory, Egozcue, 2012 for an application to portfolio diversification and Humphrey, 2004 for some empirical work); SSB theory (see Fishburn, 1984a;1984b, Alcuntud, 2002 for theory and Cigola, 1996 for an application to financial markets and bank management); Yaari's dual theory (see Yaari, 1987;Maccheroni, 2004;Galichon and Henry, 2012 for theory, Hadar and Seo, 1995 for an application to asset diversification and Wang & Young, 1998 for an application to insurance; Realization utility (see Barberis & Wei, 2012;Ingersoll & Jin, 2013 for theory and applications to stock market behaviour); Similarity explanations of EUMH failure (see Buschena & Atwood, 2012 for theory and some empirical results).…”