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.     

Fictitious students creation incentives in school choice problems

We identify a new channel through which schools can potentially manipulate the well-known student and school-optimal stable mechanisms. We introduce two fictitious students creation manipulation notions where one of them is stronger. While the student and school-optimal stable mechanisms turn out to be weakly fictitious student-proof under acyclic (Ergin in Econometrica 88:485–494, 2002) and essentially homogeneous (Kojima in Games Econ Behav 82:1–14, 2013) priority structures, respectively, they still lack strong fictitious student-proofness. We then compare the mechanisms in terms of their vulnerability to manipulations in the sense of Pathak and Sönmez (Am Econ Rev 103(1):80–106, 2013) and find out that the student-optimal stable mechanism is more manipulable than the school-optimal one. Lastly, in the large market setting of Kojima and Pathak (Am Econ Rev 99(3):608–627, 2009), the student-optimal stable mechanism becomes weakly fictitious student-proof as the market is getting large.     

Are the treasures of game theory ambiguous?

Goeree and Holt (Am Econ Rev 91:1402?C1422, 2001) experimentally study a number of games. In each case, they initially find strong support for Nash equilibrium; however, by changing an apparently irrelevant parameter, they find results which contradict Nash equilibrium. In this paper, we study the five normal form games from Goeree and Holt (Am Econ Rev 91:1402?C1422, 2001). We argue that their results may be explained by the hypothesis that subjects view their opponents?? behaviour as ambiguous. Ambiguity-aversion causes players to avoid strategies, which give low out of equilibrium payoffs. Similarly, ambiguity preference can make strategies with high payoffs more attractive.     

Taxation without commitment

This paper considers a Ramsey model of linear capital and labor income taxation in which a benevolent government cannot commit ex-ante to a sequence of policies for the future. In this setup, if the government is forced to keep budget balance in every period, then it may not be able to sustain zero capital taxes in the long run, as shown in Benhabib and Rustichini (J Econ Theory 77:231–259, 1997) and Phelan and Stachetti (Econometrica 69:1491–1518, 2001). However, (Dominguez in J Econ Theory 135:159–170, 2007) shows that if the government is allowed to borrow and lend to households, the optimal capital income tax still converges to zero in the long run, as long as the value of defaulting is independent of the level of government debt. This paper provides a game theoretic setup with government debt where the value of the worst equilibrium only depends on the initial level of capital and can be determined in advance. This implies that under our assumptions the best sustainable equilibrium has zero capital taxes in the long run, even in the absence of government commitment.     

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.     

Dominance testing for ‘pro-poor’ growth with an application to European growth

This article introduces statistical testing procedures to evaluate ??pro-poor?? growth. Our measure of ??pro-poorness?? follows Kakwani (J Quant Econ 16(1):67?C80, 2000), Kakwani and Pernia (Asian Dev Rev 18(1):1?C16, 2000), and Son (Econ Lett 82:307?C314, 2004), who decompose the generalized Lorenz ordinates into a growth effect and an inequality effect. We derive an asymptotic distribution-free covariance matrix for the decomposed generalized Lorenz curves. Using this decomposition (and our standard errors), we test for pro-poor dominance in the growth process. We illustrate our test for the pro-poor dominance by evaluating the degree of pro-poor growth in five European countries.     

Futures market: contractual arrangement to restrain moral hazard in teams

Holmstrom (Bell J Econ 13:324?C340, 1982) argues that a principal is required to restrain moral hazard in a team: wasting output in certain states is required to enforce efficient effort, and the principal is a commitment device for the waste. Under competition in commodity and team-formation markets, I extend his model à la Prescott and Townsend (Econometrica 52(1):21?C45, 1984) to show that competitive contracts can exploit the futures market to transfer output across states instead of wasting it. Thus, the futures market takes the place of a principal as a commitment device. Exploiting the duality of linear programming, I characterize the market environment and the contractual agreements for incentive-constrained efficiency.     

Detecting multiple breaks in long memory the case of U.S. inflation

Multiple structural change tests by Bai and Perron (Econometrica 66:47–78, 1998) are applied to the regression by Demetrescu et al. (Econ Theory 24:176–215, 2008) in order to detect breaks in the order of fractional integration. With this instrument we tackle time-varying inflation persistence as an important issue for monetary policy. We determine not only the location and significance of breaks in persistence, but also the number of breaks. Only one significant break in U.S. inflation persistence (measured by the long-memory parameter) is found to have taken place in 1973, while a second break in 1980 is not significant.     

Inequality aversion and separability in social risk evaluation

This paper examines how to satisfy “independence of the utilities of the dead” (Blackorby et al. in Econometrica 63:1303–1320, 1995; Bommier and Zuber in Soc Choice Welf 31:415–434, 2008) in the class of “expected equally distributed equivalent” social orderings (Fleurbaey in J Polit Econ 118:649–680, 2010) and inquires into the possibility to keep some aversion to inequality in this context. It is shown that the social welfare function must either be utilitarian or take a special multiplicative form. The multiplicative form is compatible with any degree of inequality aversion, but only under some constraints on the range of individual utilities.     

Transboundary Marine Resources and Trading Neighbours

The importance of space in analyzing issues pertaining to renewable resources can hardly be overstated. Many such resources are mobile and spatially heterogeneous with respect to bio-economic variables, with important implications for both domestic management regimes and for international externalities and policy interactions. This paper uses a simple general-equilibrium framework to show that acknowledging the inter-jurisdictional mobility of a resource such as fish has the potential to alter or qualify some of the conservation and welfare results obtained in the canonical models. The previous literature on trade and renewable resources has focused on cases where national resource stocks are independent. Brander and Taylor (Can J Econ 30(3):526?C552, 1997a; Resour Energy Econ 19(4):267?C297, 1997b; J Int Econ, 1998a; Am Econ Rev, 1998b) find that trade leads to resource stock depletion for an open-access resource-exporting country, while the non-resource exporter is necessarily diversified. In contrast, we find that the country with a comparative advantage in the resource good may gain from a conservation standpoint, while its partner can specialize in the manufactured good and may incur conservation and even welfare losses from trade.     

Unawareness of theorems

This paper provides a set-theoretic model of knowledge and unawareness. A new property called Awareness Leads to Knowledge shows that unawareness of theorems not only constrains an agent’s knowledge, but also can impair his reasoning about what other agents know. For example, in contrast to Li (J Econ Theory 144:977–993, 2009), Heifetz et al. (J Econ Theory 130:78–94, 25 2006) and the standard model of knowledge, it is possible that two agents disagree on whether another agent knows a particular event. The model follows Aumann (Ann Stat 4:1236–1239, 1976) in defining common knowledge and characterizing it in terms of a self-evident event, but departs in showing that no-trade theorems do not hold.     

Optimality of impulse harvesting policies

We explore the link between cyclical and smooth resource exploitation. We define an impulse control framework which can generate both cyclical solutions and steady-state solutions. Our model can admit convex and concave profit functions and allows the integration of different stock-dependent profit functions. We show that the strict concavity of the profit function is only a special case of a more general condition, related to submodularity, that ensures the existence of optimal cyclical policies. We then establish a link with the discrete-time models with cyclical solutions by Benhabib and Nishimura (J Econ Theory 35:284–306, 1985) and Dawid and Kopel (J Econ Theory 76:272–297, 1997). For the steady-state solution, we explore the relation to Clark’s (1976) continuous control model.     

Bargaining over productivity and wages when technical change is induced: implications for growth, distribution, and employment

I study a model of growth and income distribution in which workers and firms bargain à la Nash (Econometrica 18(2):155–162, 1950) over wages and productivity gains, taking into account the trade-offs faced by firms in choosing factor-augmenting technologies. The aggregate environment resulting from self-interested, objective function-maximizing decision rules on wages, productivity gains, savings and investment, is described by a two-dimensional dynamical system in the employment rate and output/capital ratio. The economy converges cyclically to a long-run equilibrium involving a Harrod-neutral profile of technical change, a constant rate of employment of labor, and constant input shares. The type of oscillations predicted by the model is qualitatively consistent with the available data on the United States (1963–2003), replicates the dynamics found in earlier models of growth cycles such as Goodwin (A growth cycle, in C.H. Feinstein (ed). Socialism, Capitalism and Economic Growth. Cambridge University Press, Cambridge 1967. Cambridge University Press, Cambridge, 1967); Shah and Desai (Econ J 91:1006–1010, 1981); van der Ploeg (J Macroecon 9:1–12, 1987); Flaschel (J Econ: Zeitschrift für Nationalökonomie 44:63–69, 1984) and Sportelli (J Econ: Zeitschrift für Nationalökonomie 61(1):35–64, 1995), and can be verified numerically in simulations. Institutional change, as captured by variations in workers’ bargaining power, has a positive effect on the long-run rate of growth of output per worker but a negative effect on long-run employment. Economic policy can also affect the growth and distribution pattern through changes in the unemployment compensation, which also have a positive long-run impact on labor productivity growth but a negative long-run impact on employment. In both cases, employment can overshoot its new equilibrium value along the transitional dynamics.     

Lorenz rankings of rules for the adjudication of conflicting claims

For the adjudication of conflicting claims, we develop three general approaches to obtain Lorenz rankings of rules. Our first approach concerns a parameterized family that contains several important rules (Thomson in Soc Choice Welf 31:667?C692, 2008). We give a condition that the parameters defining two members of the family should satisfy for one of them to Lorenz dominate the other. Our second approach exploits the concept of ??consistency?? (Young in Math Oper Res 12:398?C414, 1987). We derive a criterion to deduce Lorenz domination for arbitrarily many claimants from Lorenz domination in the two-claimant case. Our third approach is based on the notion of an ??operator?? on the space of rules (Thomson and Yeh in J Econ Theory 143:177?C198, 2008). We develop conditions under which operators preserve the Lorenz order, or reverse it. As corollaries of our general theorems, we obtain rankings of most of the rules that have been discussed in the literature.     

The effects of the take-option in dictator-game experiments: a comment on Engel’s (2011) meta-study

In this paper, we report a replication of Engel’s (Exp. Econ. 14(4):583–610, 2011) meta-study of dictator game experiments. We find Engel’s meta-study of dictator game experiments to be robust, with one important exception: the coding of the take-option (List in J. Polit. Econ. 115(3):482–493, 2007; Bardsley in Exp. Econ. 11(2):122–133, 2008; Cappelen et al. in Econ. Lett. 118(2):280–283, 2013). While Engel reports this as having no statistically significant effect, in our replications, we find an economically and statistically significant negative effect on giving in line with the relevant literature.     

Cobb-Douglas preferences under uncertainty

This paper axiomatizes Cobb-Douglas preferences under uncertainty. First, we extend the original Trockel (Econ Lett 30:7–10, 1989)’s axiomatic foundation to a general state space framework based on the Strong Homotheticity Axiom, obtaining also the incomplete case a la Bewley (Decis Econ Financ 25:79–110, 2002). We show that this key axiom for the Cobb-Douglas expected utility specification is refuted by Ellsberg’s uncertainty aversion behavioral pattern. Our main result provides a set of meaningful axioms characterizing Cobb-Douglas min-expected utility preferences, an important class of uncertainty averse preferences for studying the consequences of ambiguity in finance and other fields. Finally, we present briefly how to obtain more general representations like the variational case.     

Second-order ambiguous beliefs

This paper axiomatizes models of second-order ambiguous beliefs in the original domain of preferences of Anscombe and Aumann (Ann Math Stat 34:199–205, 1963) by weakening the first-stage independence postulate. The models we propose include the second-order subjective expected utility (SOSEU) of Seo (Econometrica 77:1575–1605, 2009) as a particular case. We characterize the intersection of our models of second-order ambiguity with the canonical models of (first-order) ambiguity aversion and provide a further generalization of SOSEU by relaxing the completeness axiom.     

Consistent strategy-proof assignment by hierarchical exchange

We characterize the family of efficient, consistent, and strategy-proof rules in house allocation problems. These rules follow an endowment inheritance and trade procedure as in Pápai’s hierarchical exchange rules (Pápai in Econometrica 68, 1403–1433, 2000) and closely resemble Ergin’s priority rules (Ergin in Econometrica 70, 2489–2497, 2002). We prove that if there are at least four objects, these are the only rules that are efficient in two-agent problems, $2$ -consistent, and strategy-proof. A corollary is that these three basic properties together imply the full requirements of efficiency, consistency, group strategy-proofness, and reallocation-proofness.     

Pluralism(s) in economics: lessons from complexity and innovation. A review paper

My analysis focuses on two main observations. First, many competing schools of thoughts are currently present in economics with no predominant paradigm. We are experiencing an era of pluralism (Davis J Econ Methodol 14(3):275–290, 2007, Camb J Econ 32:249–366, 2008; Colander 2000; Colander et al. J Polit Econ 16(4):485–499, 2004). The term ‘pluralism’ is extremely interesting since, as I will show, it has different dimensions to it. These offer insights into interpreting the tangled universe of the economics. Second, there is a progressive intertwining of innovation economics with complexity economics, which I argue provides an instance of the above-described shift toward pluralism.     

More equal but not so fair: an analysis of Brazilian income distribution from 1995 to 2009

This study measures unfair inequality in Brazil between 1995 and 2009. To achieve that, we used the statistical tool developed by Almås et al. (J Public Econ 95:488–499, 2011) and the concept of “responsibility-sensitive” fairness proposed by Bossert (Math Soc Sci 29:1–17, 1995), Konow (J Econ Behav Organ 31(1):13–35, 1996) and Cappelen and Tungodden (Fairness and the proportionality principle, Discussion paper SAM 31/2007. Norwegian School of Economics and Business Administration, 2007). The results indicate that the fairness level in Brazil remained unchanged throughout the analyzed period.