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Erschienen in: International Tax and Public Finance 2/2018

22.05.2017

Optimal policies for sin goods and health care: Tax or subsidy?

verfasst von: Chu-chuan Cheng, Hsun Chu

Erschienen in: International Tax and Public Finance | Ausgabe 2/2018

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Abstract

In this paper, we examine the optimal policies for sin goods and health care in a two-period economy. Individuals are myopic in the sense that they undervalue the utilities of future consumption and health quality. When investing in health care in the second period, individuals who have previously made myopic decisions may persist in their shortsighted consumption plans (persistent error) or recognize their mistakes (dual self). We show that, for persistent-error myopes, the first-best policy mix requires a subsidy on savings and a tax on sin goods. The health care should be taxed (subsidized) if the degree of myopia concerning future consumption is larger (smaller) than that concerning health quality. For dual-self myopes, the optimal policy for sin goods can be either a tax or a subsidy, depending on the relative degrees of myopia and the property of the health quality function.

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Fußnoten
1
Although both are features of sin-good consumers, self-control problems and myopia are not equivalent in concept. The existing literature takes quite different approaches on them. For the former, consumers with self-control problems have difficulty of reducing addictive sin-good consumption (e.g., quitting smoking). Thus, “precommitment” is a solution to constrain the later self to follow the plans favored by an earlier self (Gruber and Kőszegi 2001). For the latter, in contrast, myopic consumers (with dual self) have problems measuring future benefits and costs. Thus, it requires that the early self’s decisions be corrected to conform with the preferences of the later self (Cremer et al. 2012).
 
2
In our model, discounting future consumption is similar to discounting future money, since future money is spent on consuming a single numeraire good.
 
3
See Cremer and Pestieau (2011) for a recent survey.
 
4
We do not consider heterogeneous earnings for simplicity. The first-best allocations are identical for all regardless of whether earnings differ across individuals or not if we adopt a uniform true discount factor. But the first-best allocation is not attainable with a common tax rate levied on all consumers. See the discussion in Cremer et al. (2012).
 
5
For simplicity, we assume a uniform discount factor. All of our results are robust to a more general setting under which the true discount factors for second-period consumption and for health quality are different.
 
6
We have mentioned that myopic individuals are sometimes modeled as those who totally forego the future, which means that \(\alpha _{i}^{C}\) and \(\alpha _{i}^{H}\) are equal to zero. In this case, however, it is not possible to invest in health care and thus the first-best optimum is unreachable. Our analysis omits this case given that our main focus is on the first-best policies.
 
7
O’Donoghue and Rabin (1999) separate dual-self individuals into two types: naive people (i.e., those who do not foresee that they will have self-control problems in the future) and sophisticated people (i.e., those who can foresee their self-control problems). In our dual-self model, individuals behave more like the case of naivete.
 
8
These cases are well discussed in Cremer et al. (2012).
 
9
We consider a very broad concept of sin goods including consumption of alcohol, cigarettes, junk foods, soft drinks, sugar, drugs, and so on.
 
10
The experiments designed for testing preferences with self-control problems mostly focus on exploring the degree of people’s partial naivete; i.e., people are partially persistent-error and partially dual-self. Few (if any) have distinguished two types of myopes in order to examine which type of myope is more common. See DellaVigna (2009) for a recent survey.
 
11
A detailed proof is available from the authors upon request.
 
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Metadaten
Titel
Optimal policies for sin goods and health care: Tax or subsidy?
verfasst von
Chu-chuan Cheng
Hsun Chu
Publikationsdatum
22.05.2017
Verlag
Springer US
Erschienen in
International Tax and Public Finance / Ausgabe 2/2018
Print ISSN: 0927-5940
Elektronische ISSN: 1573-6970
DOI
https://doi.org/10.1007/s10797-017-9452-5

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