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Tax Compliance and Rank Dependent Expected Utility

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  • Jean-Louis Arcand
  • Grégoire Graziosi

Abstract

Formulating the classic Allingham and Sandmo [1972] tax compliance problem under Rank Dependent Expected Utility (RDEU) provides a simple explanation for the “excess” level of full compliance observed in empirical studies, which standard Expected Utility (EU) theory is unable to explain. RDEU provides a compelling answer to this puzzle, without the need for the moral sentiments or stigma arguments that have recently been advanced in the literature. Formally, we show that the threshold audit probability or penalty rate at which full compliance becomes optimal for the decisionmaker are significantly lower under RDEU axiomatics than in the EU case, and that the optimal level of underreporting is lower under RDEU. Numerical simulations using various parameterizations of the probability weighting function illustrate the large quantitative differences between the two models, while a simulation of underreporting rates in the US over the past 50 years shows how RDEU can go some way towards explaining the tax-compliance puzzle. Copyright The Geneva Association 2005

Suggested Citation

  • Jean-Louis Arcand & Grégoire Graziosi, 2005. "Tax Compliance and Rank Dependent Expected Utility," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 30(1), pages 57-69, June.
    • Handle: RePEc:kap:geneva:v:30:y:2005:i:1:p:57-69
    DOI: 10.1007/s10836-005-1108-1
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    2. Jean-Louis ARCAND & Grégoire ROTA-GRAZIOSI & Kim BLOOMQUIST, 2005. "Who Would Benefit from Simplifying the Tax Code? Frank Knight and Gustave Choquet Meet the Internal Revenue Service," Working Papers 200509, CERDI.
    3. Francesco Busato & Francesco Giuli, 2014. "Tax evasion and Prospect Theory in a OLG economy," Departmental Working Papers of Economics - University 'Roma Tre' 0196, Department of Economics - University Roma Tre.
    4. Hashimzade, Nigar & Myles, Gareth D. & Page, Frank & Rablen, Matthew D., 2014. "Social networks and occupational choice: The endogenous formation of attitudes and beliefs about tax compliance," Journal of Economic Psychology, Elsevier, vol. 40(C), pages 134-146.
    5. Nigar Hashimzade & Gareth Myles, 2017. "Risk-based Audits in a Behavioral Model," Public Finance Review, , vol. 45(1), pages 140-165, January.
    6. Luca Vota, 2022. "Efficient monitoring of tax avoidance: a Costly State Verification model," SN Business & Economics, Springer, vol. 2(12), pages 1-11, December.
    7. James Alm, 2019. "What Motivates Tax Compliance?," Journal of Economic Surveys, Wiley Blackwell, vol. 33(2), pages 353-388, April.
    8. Philipp Meyer-Brauns, 2014. "Optimal Auditing with Heterogeneous Audit Perceptions," Working Papers tax-mpg-rps-2014-06, Max Planck Institute for Tax Law and Public Finance.

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