Capital depreciation allowances,redistributive taxation,and economic growth

Are capital depreciation allowances when coupled with capital income taxes good instruments for redistribution in the long run? In a simple two-agent-economy I find that accelerated depreciation is good for growth, but bad for redistribution. The opposite holds for capital income taxes. However, in a feedback Stackelberg equilibrium, where the government is the leader and the private sector the follower, the depreciation allowance is maximal in the long run, time-consistent optimum. This removes the accumulation distortion of capital income taxes. Furthermore, the latter, and so redistribution, is found to be generically nonzero in the time-consistent optimum, and depends on the social weight of transfers receivers, the pretax factor income distribution, the intertemporal elasticity of substitution and the time preference rate. Thus, accelerated depreciation allowances are an important indirect tool for redistribution. The tax scheme allows for a separation of “efficiency” and “equity” concerns for redistributive policies.     

Optimal mixed taxation,public goods and the problem of high-skilled emigration

The optimal income tax model under the threat of migration of Simula and Trannoy (J Public Econ 94:163–173, 2010; Soc Choice Welf 39(4):751–782, 2012) is extended to include indirect taxes and public goods. This enables us to conclude that: (1) optimal income tax rates are higher than in the absence of indirect taxation, and may be positive at the top of the skills distribution; (2) indirect taxes, à la Corlett and Hague, may help mitigate the loss of redistributive capacity arising from income taxation caused by migration threats; (3) migration encourages the provision of the public goods preferred by the most productive workers; (4) optimal tax and public goods provision policies against the emigration of the highly-skilled are connected through the conditions for Pareto efficiency; (5) if the number of potential migrators is large, it may be desirable to violate classical tax rules to retain the most able in the home country; (6) when migration costs are exogenously given and utility is weakly separable, Simula and Trannoy’s results are restored; (7) if migration costs are endogenous, the Atkinson and Stiglitz theorem breaks down and the taxation of country-specific goods becomes desirable, even if utility is strongly separable.     

Endogenous population with human and physical capital accumulation

This paper proposes an economic growth model with population growth and physical and human capital accumulation. The physical capital accumulation is built on the Solow growth model (Solow in Q J Econ 70:65–94, 1956). The education and human capital accumulation is influenced by the Uzawa–Lucas model (Uzawa in Int Econ Rev 6:18–31, 1965; Lucas in J Monet Econ 22:3–42, 1988). The population dynamics are influenced by the Haavelmo population model (Haavelmo in a study in the theory of economic evolution. Haavelmo, Amsterdam, 1954) and the Barro–Becker fertility choice model (Barro and Becker in Econometrica 57:481–501, 1989). We synthesize these dynamic forces in a compact framework, applying an alternative utility function proposed by Zhang (Econ Lett 42:105–110, 1993). The model describes a dynamic interdependence between population change, wealth accumulation, human capital accumulation, and division of labor. We simulate the model to demonstrate the existence of equilibrium points and to plot the motion of the dynamic system. We also examine the effects of changes in the propensity to have children, the mortality rate parameter, the propensity to receive education, the human capital utilization efficiency, and the mortality rate elasticity of human capital upon dynamic paths of the system.     

The Uzawa–Lucas model without scale effects: theory and empirical evidence

Numerous cross-sectional tests have been performed to evaluate the predictions of recent growth theories such as the Uzawa–Lucas growth model. In a series of papers and in his book, Jones [Q. J. Econ. 110 (1995a) 495; J. Political Econ. 103 (1995b) 759; The upcoming slowdown in US economic growth, Stanford University, Stanford] has shifted the attention toward the time series predictions of endogenous growth models. By contrasting endogenous growth models with facts, one is frequently confronted with the prediction that levels of economic variables, such as human capital, imply lasting effects on the per capita growth rate of an economy. As stylized facts show, measures of education or human capital in most advanced countries have dramatically increased, mostly more than the gross domestic production (GDP). Yet, the growth rates have roughly remained constant or even declined. In this paper we modify the growth effects of education and human capital in our variant of the Uzawa–Lucas growth models and test the model using time series data for the US and Germany from 1962.1 to 1996.4. We consider two versions. In the first, we treat the time spent for education as exogenously given and we neglect the external effect of human capital. In the second version, the time spent for education is an endogenous variable and the external effect of human capital is taken into account. Our results demonstrate that the model is compatible with the time series for aggregate data in those countries. The parameters fall into reasonable ranges.     

Endogenous (re-)distributive policies and economic growth: A comparative static analysis

This paper analyzes the interplay of economic growth, (re-)distribution and policies when the latter are set exogenously or when they depend on economically important fundamentals. A redistribution policy generally causes lower growth, but less so when economic efficiency is higher. The model implies that high (endogenous) tax rates may not necessarily imply low growth. The paper shows that the long-run cross-country relationship between growth and endogenous policy is generally not clear-cut. But it is shown that this relies on conditions that can be used for identification in empirical research. The paper also argues that in the long run workers benefit more from higher efficiency than capital owners, even though inequality might and growth would rise.     

Walras’ theory of capital formation: an intertemporal equilibrium reformulation

We develop a mainstream reformulation of the original Walras?? model of capital accumulation. We overcome the shortcomings of the original model. First, we prove the existence of intertemporal competitive equilibria. Our proof combines a well known theorem due to Yannelis and Prabhakar (J Math Econ 12:233?C245, 1983) with a lemma due to Geanakoplos (Econ Theory 21:585?C603, 2003). Secondly, we remedy the indeterminacy of allocation of savings across multiple types of capital goods by introducing a storage technology. Finally, we show that, for stored capital goods, the equality of rates of returns emerges endogenously in equilibrium, while it was imposed by Walras from the outset in his original contribution.     

Investment subsidies and redistributive capital income taxation in a neoclassical growth model

How do investment subsidies bear on pure redistribution when coupled with capital income taxes? In a heterogeneous agent, neoclassical growth framework it is found that on impact, with no optimizing behavior, investment subsidies are good for growth but bad for redistribution. The opposite holds for capital income taxes. But when the government acts as a Stackelberg leader vis-à-vis the private sector (the follower), the optimal feedback policy is by construction time-consistent and implies that in a long-run optimum the tax scheme does not distort accumulation. This holds regardless of social preferences. For the feedback Stackelberg equilibrium I find that (pure) redistribution can go either way and capital income taxes are nonzero in the long-run, time-consistent optimum, depending on the social weight of those who receive redistributive transfers, the distribution of pretax factor incomes, and the intertemporal elasticity of substitution. It is argued that investment subsidies may be an important indirect tool for redistribution, and may allow for the separation of “efficiency” and “equity” concerns.     

The impact of artificial intelligence on economic growth and welfare

Focusing on the self-accumulation ability and the nonrival characteristic of artificial intelligence (AI), this paper develops a three-sector endogenous growth model and investigates the impact of the development of AI along the transitional dynamics path and the balanced growth path. The development of AI can increase economic growth along the transitional dynamics path, and can increase household short-run utility if an increase in the accumulation of AI is due to the rising productivity in the goods or AI sector, but can be detrimental to household short-run utility if an increase in the accumulation of AI is because firms use more AI to replace human labor. In addition, the development of AI is not necessarily beneficial to household welfare in the long run. The main results are unaffected when considering the case where AI can improve the accumulation of human capital, the traditional research and development model, and different kinds of physical capital.     

Human Capital and Overinvestment in R&D*

We introduce a negative effect of technological development on human capital accumulation in a growth model with endogenous innovation and accumulation of human capital. This implies a negative externality of R&D in human capital accumulation. Some calibration exercises suggest that this distortion may be sufficiently strong not only to offset the usual effects of spillovers and of returns to specialization but also to induce overinvestment in R&D.     

Cournot–Nash equilibria in continuum games with non-ordered preferences

In the usual framework of continuum games with externalities, we substantially generalize Cournot–Nash existence results [Balder, A unifying approach to existence of Nash equilibria, Int. J.Game Theory 24 (1995) 79–94; On the existence of Cournot–Nash equilibria in continuum games, J. Math. Econ. 32 (1999) 207–223; A unifying pair of Cournot–Nash equilibrium existence results, J. Econ. Theory 102 (2002) 437–470] to games with possibly non-ordered preferences, providing a continuum analogue of the seminal existence results by Mas-Colell [An equilibrium existence theorem without complete or transitive preferences, J. Math. Econ. 1 (1974) 237–246], Gale and Mas-Colell [An equilibrium existence theorem for a general model without ordered preferences, J. Math. Econ. 2 (1975) 9–15], Shafer and Sonnenschein [Equilibrium in abstract economies without ordered preferences, J. Math. Econ. 2 (1975) 345–348], Borglin and Keiding [Existence of equilibrium actions and of equilibrium: a note on the “new” existence theorems, J. Math. Econ. 3 (1976) 313–316] and Yannelis and Prabhakar [Existence of maximal elements and equilibria in linear topological spaces, J. Math. Econ. 12 (1983) 233–245].     

Extreme inequality aversion without separability

Hammond (J Econ Theory 11, 465–467, 1975), Meyer (J Econ Theory 11, 119–132, 1975), and Lambert (The distribution and redistribution of income Manchester University Press, Manchester, 2001) provide the formal result connecting leximin and the idea of extreme inequality aversion for social preferences of the expected utility type. Using an analogous approach, we show that for social preferences not necessarily satisfying the separability axiom that underlies expected utility theory, the case of extreme inequality aversion is covered by the class of weakly maximin social preferences—i.e., the class of social preferences that give priority to the worst off in all cases in which the worst off is not indifferent. I wish to thank Bart Capéau, Frank Cowell, Peter Lambert, Luc Lauwers, Erik Schokkaert, Frans Spinnewyn, and Bertil Tungodden for valuable comments. Remaining shortcomings are mine. Financial support from the Fund for Scientific Research - Flanders (grant G.0005.04) and the Interuniversity Attraction Poles network funded by the Federal Public Planning Service, Belgian Science Policy (grant P5/21-A) is gratefully acknowledged.     

Reexamining the interaction between innovation and capital accumulation

In endogenous growth models with innovation and capital accumulation Arnold [J. Macroeconomics 20 (1998) 189] and Blackburn et al. [J. Macroeconomics 22 (2000) 81] show that long-run growth of per capita income is independent of innovation activities; it is solely determined by preferences and the human capital accumulation technology. As a result, government policies do not affect long-run growth. This paper develops an endogenous growth model with innovation and (physical and human) capital accumulation to show that long-run growth depends on both innovation and capital accumulation technologies as well as on preferences and that government taxes and subsidies can have effects on the long-run growth rate.     

Optimal Income Taxation with Endogenous Human Capital

This paper augments the theory of optimal linear income taxation by taking into account human capital accumulation as a dimension of labor supply. The distribution of earning potentials is endogenous because agents differ in the ability to learn. Taxation affects utilization rates of human capital through labor supply responses. The costs of education that are not deductible from the income tax distort the learning decision as well. We show theoretically that the trade‐off between efficiency and equity is worsened. Quantitative analysis shows that the distortionary costs of taxation increase substantially when human capital formation is endogenous.     

Optimal human capital policies under the endogenous choice of educational types

This study examines optimal human capital policies under nonlinear labor and capital income taxes in the presence of consumption value of education in a two‐period setting. We show that when individuals can choose educational types differing by the relative importance of consumption value and production value, education subsidies for low‐type individuals should not equal an efficient level that offsets distortions induced by nonlinear taxes on labor and capital income. Our findings imply that education policy does not restore efficiency, or the Diamond–Mirrlees production efficiency theorem fails. Moreover, capital income taxation is optimal, which means that the Atkinson–Stiglitz theorem breaks down.     

Endogenizing market institutions: An experimental approach

We study experimental two-sided markets in which the information structure is endogenous. When submitting an offer, a trader decides which other traders will be informed about the offer. This setup allows both a decentralized bargaining market (Chamberlin, J. Polit. Econ. 56 (1948) 95), and a double auction market (Smith J. Polit. Econ. 70 (1962) 111) as special cases. The results show that offers are typically directed to all traders of the other side of the market, but to none of the traders of the same side of the market. Even though traders receive much less information, the resulting market institution leads to the same outcomes in terms of prices and efficiency as a double auction market. In two additional treatments we examine the robustness of these results. First, it is found that the market institution adapts predictably, but not necessarily efficiently, to the imposition of transaction costs. Second, we find that the preference of sellers to conceal offers from competitors is strict. At the same time, sellers benefit collectively when they reveal offers to each other.     

Endogenous fiscal policies,environmental quality,and status-seeking behavior

This paper analyzes endogenous fiscal policy in an endogenous growth model where agents care about social status and environmental quality. The quest for a higher status is assimilated to a preference for capital wealth. The government uses income tax to finance infrastructure and environmental protection. We find that accounting for preferences for social status and environmental quality may lead to an allocation of tax revenue in favor of a cleanup effort to the detriment of infrastructure. Economic growth is not necessarily and negatively affected by this allocation as it is partly explained by an excessive accumulation of capital wealth due to the quest of status. Status seeking can however harm economic growth and environmental quality when its motive is important enough. Finally, we show that economic growth may be consistent with environmental preservation but is not necessarily welfare-improving as in the case of absence of status-seeking behavior.     

A belief-based approach to the repeated prisoners' dilemma with asymmetric private monitoring

This paper extends the belief-based approach to the repeated prisoners' dilemma with asymmetric private monitoring. We first find that the previous belief-based techniques [T. Sekiguchi, Efficiency in repeated prisoners' dilemma with private monitoring, J. Econ. Theory 76 (1997) 345-361; V. Bhaskar, I. Obara, Belief-based equilibria in the repeated prisoners' dilemma with private monitoring, J. Econ. Theory 102 (2002) 40-69] cannot succeed when players' private monitoring technologies are sufficiently different. We then modify the previous belief-based approach by letting the player with smaller observation errors always randomize between cooperate and defect along the cooperative path of the play. We show that with vanishing observation errors, efficiency and a folk theorem can be approximated using our modified belief-based strategies.     

The Cass criterion, the net dividend criterion, and optimality

Abel, Mankiw, Summers, and Zeckhauser [Assessing dynamic efficiency: theory and evidence, Rev. Econ. Stud. 56 (1989) 1-20] propose the net dividend criterion as an easy to use sufficient condition for optimality in general stochastic overlapping generations economies with production. We provide examples based on the criterion due to Cass [On capital overaccumulation in the aggregative neoclassical model of economic growth: a complete characterization, J. Econ. Theory 4 (1972) 200-223] and its extensions, the usual tools for such problems, to show that the net dividend criterion need not give the right answer. We identify the flaw in their proof. We also provide an alternative condition which, by an argument unrelated to theirs, is a sufficient condition for optimality when dividends are nonnegative and then argue that the condition is not innocuous since it cannot be verified in actual economies.     

Complementarity between heterogeneous human capital and R&;D: can job-training avoid low development traps?

This paper uses a non-overlapping generations model of endogenous growth to emphasize the effect of human capital’s heterogeneity on economic growth. In addition to education, we present two different typologies of training. The first, technology-general, is independent of R&D; the second, technology-specific, is connected to the success of innovative activities and it is only provided to workers engaged in research. By extending Redding (Econ J 106:452–470, 1996), we demonstrate that human capital composition is important in determining the probability of innovation and the economy’s growth rate. Moreover, the paper shows that technology-general training avoids low development traps when R&D is absent.     

Utility and production externalities, equilibrium efficiency and leisure specification

This paper analyzes the implications that the specification of the leisure activity has on the equilibrium efficiency in a two-sector endogenous growth model with human capital accumulation. We consider external effects of consumption and leisure in utility, and sector-specific externalities associated to physical and human capital in production. The optimal tax policy to correct for the distortions caused by the externalities is characterized under all the typical leisure specifications considered in the literature: home production, quality time and raw time. We show that the optimal policy depends markedly on the leisure specification.