@article{necessityofhyperbolicabsoluterisk,
  title = {Necessity of Hyperbolic Absolute Risk Aversion for the Concavity of Consumption Functions},
  author = {Alexis Akira Toda},
  year = {2020},
  eprint = {2009.13564},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2009.13564v2},
}