Sharing beliefs and the absence of betting in the Choquet expected utility model

Antoine Billot*, Alain Chateauneuf, Itzhak Gilboa, Jean Marc Tallou

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Choquet expected utility maximizers tend to behave in a more "cautious" way than Bayesian agents, i.e. expected utility maximizers. We illustrate this phenomenon in the particular case of betting behavior. Specifically, consider agents who are Choquet expected utility maximizers. Then, if the economy is large, Pareto optimal allocations provide full insurance if and only if the agents share at least one prior, i.e., if the intersection of the core of the capacities representing their beliefs is non empty. In the expected utility case, this is true only if they have a common prior.

Original languageEnglish
Pages (from-to)127-136
Number of pages10
JournalStatistical Papers
Volume43
Issue number1
DOIs
StatePublished - Jan 2002

Keywords

  • Betting
  • Choquet expected utility
  • Full insurance
  • Pareto optimality

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