Are two tax rates better than one?

Abstract: Should two–band income taxes be progressive given a general income distribution? We provide a negative answer under utilitarian and max-min welfare functions. While this result clarifies some ambiguities in the literature, it does not rule out progressive taxes in general. If we maximize total or weighted utility of the poor, as often intended by the society, progressive taxes can be justified, especially when the ‘rich’ are very rich. Under these objectives we obtain new necessary conditions for progressive taxes, which only depend on aggregate features of income distributions. The validity of these conditions is examined using plausible income distributions.

Testing the Tunnel Effect: Comparison, Age and Happiness in UK and German Panels

In contrast to previous results combining all ages we find positive effects of comparison income on happiness for the under 45s, and negative effects for those over 45. In the BHPS these coefficients are several times the magnitude of own income effects. In GSOEP they cancel to give no effect of effect of comparison income on life satisfaction in the whole sample, when controlling for fixed effects, and time-in-panel, and with flexible, age-group dummies. The residual age-happiness relationship is hump-shaped in all three countries. Results are consistent with a simple life cycle model of relative income under uncertainty.

Age, Life-satisfaction, and Relative Income – Insights from the UK and Germany

We first confirm previous results with the German Socio-Economic Panel by Layard et al. (2010), and obtain strong negative effects of comparison income. However, when we split the sample by age, we find quite different results for reference income. The effects on lifesatisfaction are positive and significant for those under 45, consistent with Hirschman’s (1973) ‘tunnel effect’, and only negative (and larger than in the full sample) for those over 45, when relative deprivation dominates. Thus for young respondents, reference income’s signalling role, indicating potential future prospects, can outweigh relative deprivation effects. Own-income effects are also larger for the older sample, and of greater magnitude than the comparison income effect. In East Germany the reference income effects are insignificant for all. With data from the British Household Panel Survey, we confirm standard results when encompassing all ages, but reference income loses significance in both age groups, and most surprisingly, even own income becomes insignificant for those over 45, while education has significant negative effects.