Local Utility and Multivariate Risk Aversion

Published Online:https://doi.org/10.1287/moor.2015.0736

References

  • Allais M (1953) Le comportement de l’homme rationnel devant le risque: Critiques des postulats et axiomes de l’école américaine. Econometrica 21:503–546.CrossrefGoogle Scholar
  • Ambrosio L, Gigli N, Savaré G (2000) Gradient Flows in Metric Spaces and in the Space of Probability Measures (Birkhäuser, Basel, Switzerland).Google Scholar
  • Bickel P, Lehmann E (1976) Descriptive statistics for non-parametric models, III: Dispersion. Ann. Statist. 4:1139–1158.CrossrefGoogle Scholar
  • Bickel P, Lehmann E (1979) Descriptive statistics for non-parametric models, IV: Spread. Jurečková J, ed. Contributions to Statistics (Reidel, Boston), 33–40.CrossrefGoogle Scholar
  • Carlier G, Dana R-A, Galichon A (2012) Pareto efficiency for the concave order and multivariate comonotonicity. J. Econom. Theory 147:207–229.CrossrefGoogle Scholar
  • Chateauneuf A, Cohen M, Meilijson I (2004) Four notions of mean-preserving increase in risk, risk attitudes and applications to the rank-dependent expected utility model. J. Math. Econom. 40:547–571.CrossrefGoogle Scholar
  • Chew S, Karni E, Safra Z (1987) Risk aversion in the theory of expected utility with rank dependent probabilities. J. Econom. Theory 42:370–381.CrossrefGoogle Scholar
  • Diamond P, Stiglitz J (1974) Increases in risk and in risk aversion. J. Econom. Theory 8:337–360.CrossrefGoogle Scholar
  • Eeckoudt L, Rey B, Schlesinger H (2007) A good sign for multivariate risk taking. Management Sci. 53(1):117–124.LinkGoogle Scholar
  • Ekeland I, Galichon A, Henry M (2012) Comonotone measures of multivariate risks. Math. Finance 22:109–132.CrossrefGoogle Scholar
  • Elton J, Hill T (1992) Fusions of a probability distribution. Ann. Probab. 20(1):421–454.CrossrefGoogle Scholar
  • Epstein L, Tanny S (1980) Increasing generalized correlation: A definition and some economic consequences. Canadian J. Econom. 13:16–34.CrossrefGoogle Scholar
  • Galichon A, Henry M (2012) Dual theory of choice with multivariate risks. J. Econom. Theory 147:1501–1516.CrossrefGoogle Scholar
  • Giovagnoli A, Wynn H (1995) Multivariate dispersion orderings. Statist. Probab. Lett. 22:325–332.CrossrefGoogle Scholar
  • Grant S, Kajii A, Polak B (1992) Many good choice axioms: When can many-good lotteries be treated as money lotteries. J. Econom. Theory 56:313–337.CrossrefGoogle Scholar
  • Hardy G, Littlewood J, Pólya G (1952) Inequalities (Cambridge University Press, Cambridge, UK).Google Scholar
  • Karni E (1989) Generalized expected utility analysis of multivariate risk aversion. Internat. Econom. Rev. 30:297–305.CrossrefGoogle Scholar
  • Kihlstrom R, Mirman L (1974) Risk aversion with many commodities. J. Econom. Theory 8:361–368.CrossrefGoogle Scholar
  • Landsberger M, Meilijson I (1994) Comonotone allocations, Bickel-Lehmann dispersion and the Arrow-Pratt measure of risk aversion. Ann. Oper. Res. 52:97–106.CrossrefGoogle Scholar
  • Machina M (1982a) “Expected utility” analysis without the independence axiom. Econometrica 50:277–323.CrossrefGoogle Scholar
  • Machina M (1982b) A stronger characterization of declining risk aversion. Econometrica 50:1069–1079.CrossrefGoogle Scholar
  • Puccetti G, Scarsini M (2010) Multivariate comonotonicity. J. Multivariate Anal. 101:291–304.CrossrefGoogle Scholar
  • Quiggin J (1991) Increasing risk: Another definition. Chikan A, ed. Progress in Decision, Utility and Risk Theory (Kluwer, Dordrecht, the Netherlands), 239–248.CrossrefGoogle Scholar
  • Rothschild M, Stiglitz J (1970) Increasing risk: I. A definition. J. Econom. Theory 2:225–243.CrossrefGoogle Scholar
  • Safra Z, Segal U (1993) Dominance axioms and multivariate nonexpected utility preferences. Internat. Econom. Rev. 34:321–334.CrossrefGoogle Scholar
  • Segal U (1987) Some remarks on Quiggin’s anticipated utility. J. Econom. Behav. Organ. 8:145–154.CrossrefGoogle Scholar
  • Shaked M, Shantikumar J (2007) Stochastic Orders (Springer, New York).CrossrefGoogle Scholar
  • Stiglitz J (1969) Behavior towards risk with many commodities. Econometrica 37:660–667.CrossrefGoogle Scholar
  • Strassen V (1965) The existence of probability measures with given marginals. Ann. Math. Statist. 36:423–439.CrossrefGoogle Scholar
  • Villani C (2003) Topics in Optimal Transportation (American Mathematical Society, Providence, RI).CrossrefGoogle Scholar
  • Villani C (2009) Optimal Transportation: Old and New (Springer, Berlin).CrossrefGoogle Scholar
  • Yaari M (1986) Univariate and multivariate comparisons of risk aversion: A new approach. Heller W, Starr R, Starrett D, eds. Essays in Honor of Kenneth Arrow (Cambridge University Press, Cambridge, UK), 173–187.CrossrefGoogle Scholar
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