Multi-equation modelling of desirable and undesirable outputs satisfying the materials balance

The key feature when modelling joint production of intended outputs and unintended residuals is that the latter stem from the use of material inputs. A multi-equation model building on the factorially determined multi-output model of classical production theory satisfies the materials balance that tells us that the mass contained in inputs cannot disappear, but must turn up in the desirable outputs or end up as residuals. In this model, potentially complex technical relationships are simplified to express each of the intended outputs and the residuals as functions of the same set of inputs. Serious problems with the single-equation models most often found in the literature are demonstrated. Abatement activity in the form of end of pipe is added, and an optimal planning solution is derived using the concept of an environmental damage function for the impact of discharge of residuals into the natural environment. It is shown that the traditional environmental policy instruments, like direct regulation restricting the amount of undesirable residuals discharged to the environment, a Pigou tax on pollutants, and cap and trade, all function well. Extending the multi-equation model to allow for inefficiency, three efficiency measures are introduced: desirable output efficiency, residuals efficiency, and abatement efficiency. It is conjectured that these measures can be estimated independently using the DEA model.     

The distributional impact of public services when needs differ

Despite a broad consensus on the need to take into account the value of public services in distributional analysis, there is little reliable evidence on how inclusion of such non-cash income actually affects poverty and inequality estimates. In particular, the equivalence scales applied to cash income are not necessarily appropriate when including non-cash income, because the receipt of public services is likely to be associated with particular needs. In this paper, we propose a theory-based framework designed to provide a coherent evaluation of the distributional impact of local public services. The valuation of public services, identification of target groups, allocation of expenditures to target groups, and adjustment for differences in needs are derived from a model of local government spending behaviour. Using Norwegian data from municipal accounts and administrative registers we find that the inclusion of non-cash income reduces income inequality by about 15% and poverty rates by almost one-third. However, adjusting for differences in needs for public services across population subgroups offsets about half the inequality reduction and some of the poverty decrease.     

Using inverted Engel curves to estimate material standards of living in a household

This article demonstrates how to estimate latent total consumption expenditure or material standard of living in households by inverting estimated Engel curves. While the conventional estimator, total purchase expenditure, is unbiased for latent total household consumption expenditure, it is not variance minimizing since it is an un-weighted sum. In two stages, this article derives a variance-minimizing, unbiased estimator by first estimating and inverting Engel curves; then combining the estimators from the inverted Engel curves. The employed latent variable method allows for utilization of non-expenditure relations. The suggested method may help improve the accuracy in studies of consumption inequality and tax evasion.      

Dominated choices in a simple game with large stakes

This paper examines data from the Norwegian television game show Joker, where contestants make well-specified choices under risk. The game involves very large stakes, randomly drawn contestants, and ample opportunities for learning. Central models of risk choice, including expected utility theory, give a simple prediction of choice under weak conditions, as one decision is always first-order stochastically dominating. We document frequent, systematic and costly violations of dominance. Many contestants appear to have a systematic expectation bias that can be related to Tversky and Kahneman’s (Cogn. Psychol. 5(2):207–232, 1973) “availability heuristic”. In addition, contestants seem to make systematic calculation errors that are well captured by the so-called Fechner model.     

Ad valorem versus unit taxes: monopolistic competition, heterogeneous firms, and intra-industry reallocations

Real-world industries are composed from heterogeneous firms and substantial intra-industry reallocations take place, i.e. high productivity firms squeeze out low productivity firms. Previous tax-tool comparisons have not included these central forces of industry structure. This paper examines a general equilibrium monopolistic competition model with heterogeneous firms and intra-industry reallocations. We show that the welfare superiority of ad valorem over unit taxes under imperfect competition is not only preserved but amplified. The additional difference between the tools arises because unit taxes distort relative prices, which in turn reduces average industry productivity through reallocations (the survival and increased market share of lower productivity firms). Importantly, numerical solutions of the model reveal that the relative welfare loss from using the unit tax increases dramatically in the degree of firm heterogeneity.     

Strategic Regulation Policy in the Internet

Some countries are importers while others are exporters of global backbone connectivity. At the same time, input components such as local access are non-traded. This paper analyzes a non-cooperative regulatory game between importing and exporting countries, assuming that the prices of both traded and non-traded inputs can be regulated. We show that exporting countries choose a more restrictive regulation of non-traded goods than importing countries do. We further show that a requirement of international non-discrimination may hurt importing countries, and give firms producing traded inputs incentives to invest in quality degradation.     

The Rise of Individual Performance Pay

Existing empirical evidence suggests that individual performance pay is more prevalent in human‐capital‐intensive industries. We introduce a model that can contribute to explain this. In a repeated game model of relational contracting, we analyze the conditions for implementing peer‐dependent incentive regimes when agents possess indispensable human capital. We show that the larger the share of values that the agents can hold up, the lower is the implementable degree of peer‐dependent incentives. In a setting with complementary tasks, we show that although team‐based incentives are optimal if agents are dispensable, it may be costly, and, in fact, suboptimal, to provide team incentives when the agents become indispensable.     

Family income and children's education: Using the Norwegian oil boom as a natural experiment

Parental income is positively correlated with children's educational attainment. This paper addresses the causality of this observed link. We have a unique data set for Norwegians born in the period 1967–1969, with a measure of permanent family income in the children's adolescence. This enables us to examine the long-term effect of family income on children's educational attainment. The Norwegian oil shock in the 1970s is used as an instrument, because this – in some regions but not in others – implied a general increase in income unrelated to parents' abilities. This variation in income is used to estimate the causal effect of family income on children's educational attainment. We find no such causal relationship. This result is robust with respect to different specification tests.     

Elasticity estimates of farmed salmon demand in Spain and Italy

In this paper, estimates of the elasticities that characterize the structure of demand for farmed salmon in Spain and Italy are reported. The demand models are specified using a Box-Cox transformation of the variables and a Hausman test is used to determine price endogeneity in the demand equations. The results show short-run unitary own-price elasticity of demand for farmed salmon in both markets, but long run estimates show significant elastic price response. Short run substitution of salmon for other fish species is not observed and, for both Spain and Italy, farmed salmon is characterized as a luxury good. Interestingly, we show that our a priori expectations about own-price elasticities being lower in smaller market areas is confirmed. Finally, the results obtained are compared to other recent results reported in the salmon demand literature.     

Wood Fuel or Carbon Sink? Aspects of Forestry in the Climate Question

This paper discusses and contrasts two mainroles of forestry in light of the debate on theglobal climate. As the main problem is relatedto the increases of the CO₂-concentrationin the atmosphere, forests may be viewed aspart of the alleviation of the problem throughtheir function as (i) a source of biomass forenergy production, which may replace fossilfuels and thus indirectly reduceCO₂-emissions, and as (ii) carbon storage,since a growing forest extracts atmosphericCO₂ and fixes it as carbon in biomass. Inthe Scandinavian forestry, logging residues areincreasingly being used for energy production.In this paper the value of forests as a sourceof bioenergy is added to the traditional timbervalue. Formulated as a joint production modelwithin the Faustmann framework, the effect ofthis addition on the optimal rotation length isdiscussed. Based on data for spruce, thedominant species in the Scandinavian forestry,it is demonstrated that the rotation length isshortened compared to the standard Faustmannmodel. Shorter rotation length implies lesscarbon storage. Therefore, in this modelwithout explicit regard to the social carbonstorage value of the forest, the gains in termsof the climate problem from utilisation offorest biomass for energy production are beingdiminished by the value of reduced carbonstorage. The carbon value of the forest is thenadded to complete the model, with the effect ofincreasing the rotation length, a result thatis well known in the literature. Finally, theempirical effects of the interaction of thesetwo climate-related value elements of theforest are discussed.