Choices Under Risk

  • Emilio Barucci
  • Claudio Fontana
Part of the Springer Finance book series (FINANCE)


This chapter presents the foundations of decision making problems in a risky environment. By introducing suitable axioms on the preference relation, the existence of an expected utility function representation is proved. We discuss the notions of risk aversion, risk premium and certainty equivalent and characterize stochastic dominance criteria for comparing random variables. The chapter ends with a discussion of mean-variance preferences and their relation with stochastic dominance and expected utility.


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Copyright information

© Springer-Verlag London Ltd. 2017

Authors and Affiliations

  • Emilio Barucci
    • 1
  • Claudio Fontana
    • 2
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly
  2. 2.Laboratoire de Probabilités et Modèles AléatoiresUniversité Paris Diderot (Paris 7)ParisFrance

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