An α -MaxMin utility representation for close and distant future preferences with temporal biases

Journal article: This paper provides a framework for understanding preferences over utility streams across different time periods. We analyze preferences for the close future, for the distant future, and a synthesis of both, establishing a representation involving weights over time periods. Examining scenarios where two utility streams cannot be robustly compared to each other, we introduce notions in which one has more “potential” to be preferred over another, which lead to MaxMin, MaxMax, and -MaxMin representations. Finally, we consider temporal bias in the form of violations of stationarity. For close future preferences, we obtain a generalization of quasi-hyperbolic discounting. For distant future preferences, we obtain Banach limits and discuss the relationship with exponential discounting.

Author(s)

Jean-Pierre Drugeon, Thai Ha-Huy

Journal
  • Journal of Mathematical Economics
Date of publication
  • 2023
Keywords JEL
D11 D15 D90
Keywords
  • Axiomatization
  • Myopia
  • Multiple discounts
  • Alpha-MaxMin criteria
  • Temporal biases
  • Banach limits
Version
  • 1
Volume
  • 109