Abstract
Alfandari, Denoyel and Thiele [Annals of Operations Research, 292, 2020, 553-573] expressed an expected customer choice probability as a sum of two integrals. We show that the integrals can be simplified in terms of a well known function. We also give a Maple code for computing the expected customer choice probability.

References
Alfandari, L., Denoyel, V., & Thiele, A. (2020). Solving utility-maximization selection problems with Multinomial Logit demand: Is the First-Choice model a good approximation? Annals of Operations Research, 292, 553–573.
Gradshteyn, I. S., & Ryzhik, I. M. (2014). Tables of Integrals, Series and Products (8th ed.). New York: Academic Press.
Prudnikov, A. P., Brychkov, Y. A., & Marichev, O. I. (1986). Integrals and Series, volumes 1, 2 and 3. Amsterdam: Gordon and Breach Science Publishers.
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Nadarajah, S., Chan, S. On the expression for expected customer choice probabilities. Ann Oper Res 307, 499–502 (2021). https://doi.org/10.1007/s10479-021-04260-4
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DOI: https://doi.org/10.1007/s10479-021-04260-4