Skip to main content

When Is Utilitarian Welfare Higher Under Insurance Risk Pooling?

  • Chapter
  • First Online:
Mathematical and Statistical Methods for Actuarial Sciences and Finance

Abstract

This paper focuses on the effects of bans on insurance risk classification on utilitarian social welfare. We consider two regimes: full risk classification, where insurers charge the actuarially fair premium for each risk, and pooling, where risk classification is banned and for institutional or regulatory reasons, insurers do not attempt to separate risk classes, but charge a common premium for all risks. For the case of iso-elastic insurance demand, we derive sufficient conditions on higher and lower risks’ demand elasticities which ensure that utilitarian social welfare is higher under pooling than under full risk classification. Empirical evidence suggests that these conditions may be realistic for some insurance markets.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Specifically, a generalised form of the Kumaraswamy [2] distribution. Similarly, any other distribution for γ will imply its own corresponding demand function.

  2. 2.

    Social welfare at the ‘end points’ W and W − L is standardised to u(W) = 1 and u(W − L) = 0 as in Eq. (2); this is necessary to avoid the possibility of a ‘utility monster’ dominating social welfare [1, 3].

References

  1. Bailey, J.W.: Utilitarianism, Institutions and Justice. Oxford University Press, Oxford (1997)

    Google Scholar 

  2. Kumaraswamy, P.: A generalized probability density function for double-bounded random processes. J. Hydrol. 46, 79–88 (1980)

    Article  Google Scholar 

  3. Nozick, R.: Anarchy, State and Utopia. Basic Books, New York (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Indradeb Chatterjee .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Chatterjee, I., Macdonald, A.S., Tapadar, P., Thomas, R.G. (2018). When Is Utilitarian Welfare Higher Under Insurance Risk Pooling?. In: Corazza, M., Durbán, M., Grané, A., Perna, C., Sibillo, M. (eds) Mathematical and Statistical Methods for Actuarial Sciences and Finance. Springer, Cham. https://doi.org/10.1007/978-3-319-89824-7_40

Download citation

Publish with us

Policies and ethics