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Management Science Vol. 59 No. 8 2013

Implications of Hyperbolic Discounting for Optimal Pricing and Scheduling of Unpleasant Services That Generate Future Benefits

Erica L. Plambeck1; Qiong Wang2

1 Operations, Information and Technology, Graduate School of Business, Stanford University, Stanford, California 94305 · 2 Industrial and Enterprise Systems Engineering, University of Illinois at Urbana–Champaign, Urbana, Illinois 61801

Abstract

People tend to lack the self-control to undergo an unpleasant service that would generate future benefits. This paper derives a tractable quasi-hyperbolic discounting model of that behavioral tendency (for a queueing system in which service time is short relative to the time horizon for its benefits). Planning in advance, people may naively overestimate their self-control. This paper shows how customers' lack of self-control and naivete affect optimal pricing and scheduling. The welfare-maximizing usage fee and the revenue-maximizing usage fee decrease with customers' lack of self-control. Charging for subscription, in addition to or instead of per use, increases revenue, especially when subscribers are naive. If the manager can charge for subscription or per use, subscription is optimal for revenue maximization, whereas usage-based pricing is optimal for welfare maximization. If customers are heterogeneous in their self-control and naivete, priority scheduling can dramatically increase welfare and revenue.

DOI
10.1287/mnsc.1120.1673
Volume
59
Issue
8
Pages
1927-1946
Language
en
Sources
openalex bibtex:phds-export.bib crossref

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