Too much of a good thing: Endogenous business cycles generated by bounded technological progress

Following Jones and Williams [Jones, C.I., Williams, J., 2000. Too much of a good thing? The economics of investment in R&D. Journal of Economic Growth vol. 5 (no. 1), 65–85], we assume that R&D is simultaneously subject to positive and to negative external effects (e.g., the non-rival nature of technology conflicts with congestion externalities). This observation allows to conceive an economy where two R&D sectors evolve without departing significantly from each other in terms of their productive results (society tends to penalize imbalances in technical progress, making negative external effects to appear associated to a sector when this outstands relatively to the other sector; the second sector, in turn, will be subject to positive externalities that reflect a catching up effect). The proposed framework, when associated to a growth setup, is able to replicate the existence of endogenous fluctuations and, therefore, it intends to be a contribution to the literature on endogenous business cycles.     

On local indeterminacy and endogenous cycles in Ramsey models with heterogeneous households

It is well-known that endogenous cycles can occur in Ramsey models with heterogeneous households and borrowing constraints. In this note, we address the issue of robustness in the more general case of endogenous labor supply and we explain the occurrence of local indeterminacy under progressive taxation.

Can market power sustain endogenous growth in overlapping-generations economies?

Summary. Sustained endogenous growth is known to be impossible in OLG one-sector models without non-convexities and externalities, unless income is redistributed to the young generation. No redistribution proper is however necessary, as shown in two simple examples, if positive profits accruing to young monopolistic entrepreneurs can be sustained in equilibrium, and/or if young unionised workers can guarantee a non-vanishing share of aggregate income. In this context, market power appears, in two different forms, as a significant source of sustained endogenous growth. Received: October 3, 2000; revised version: March 9, 2001     

Unemployment dynamics in an OLG economy with public pensions

Pension benefits in old age establish a disincentive to save in youth, thereby yielding lower levels of capital stock and the wage rate. As a result, the trade union has an incentive to change the composition of its two targets: employment and the wage rate. This paper develops a model that includes employment effects of public pensions via capital accumulation and union wage setting. Within this framework, we consider how contribution rates to the pension system influence the level and time path of the unemployment rate. It is demonstrated that (1) a higher contribution rate results in a lower unemployment rate, and (2) the economy with a high (low) contribution rate experiences monotone convergence towards (oscillatory convergence towards or a period-2 cycle around) the steady state. The author would like to thank an anonymous referee, Kazutoshi Miyazawa, and seminar participants at Osaka University for their useful comments and suggestions, and Masako Ikefuji and Hiroaki Yamagami for their research assistance. Financial support from the Japan Society for the Promotion of Science (JSPS) through a Grant-in-Aid for Young Scientists (B) (No.17730131), the Asahi Glass Foundation, the Japan Economic Research Foundation and the 21st Century COE Program (Osaka University) is gratefully acknowledged. All remaining errors are mine.     

Schumpeter's circular flow,learning by doing and cyclical growth

A two-sector growth model with endogenous technical change is presented. Concerning technical change, we assume that it is reflected by increases in the stock of human capital which are acquired through learning by doing. As a result, it turns out that transitory or, using the Hopf bifurcation theorem, persistent oscillations of the economic variables may be the outcome. Thus we are able to show that learning mechanisms alone may be sufficient to destroy the circular flow as described by Schumpeter.     

Social security and endogenous fertility: pensions and child allowances as siamese twins

This paper analyses public pensions and child support in a model with endogenous fertility. We show that the individual fertility choice may not coincide with the social optimum, due to the existence of external effects of children on society as a whole. The market outcome without government intervention is efficient, however, as the externalities exactly cancel out in that case. If the government wants to redistribute towards the old, it cannot replicate the command optimum by merely applying lump-sum transfers, but rather needs a child allowance scheme to effectively alter the number of offspring. Finally, we analyse whether a Pareto-improving social security reform is possible. It is shown that merely reducing the PAYG-scheme cannot be Pareto-improving, but the introduction of a child allowance scheme can be.     

On optimality in intergenerational risk sharing

Summary. This paper defines and studies optimality in a dynamic stochastic economy with finitely lived agents, and investigates the optimality properties of an equilibrium with or without sequentially complete markets. Various Pareto optimality concepts are considered, including interim and ex ante optimality. We show that, at an equilibrium with a productive asset (land) and sequentially complete markets, the intervention of a government may be justified, but only to improve risk sharing between generations. If markets are incomplete, constrained interim optimality is investigated in two-period lived OLG economies. We extend the optimality properties of an equilibrium with land and give conditions under which introducing a pay-as-you-go system at an equilibrium would not lead to any Pareto improvement. Received: October 5, 1998; revised version: April 3, 2001     

On the equivalence between the overlapping-generations model and cyclical general-equilibrium models

We show that equilibrium cycles in an overlapping-generations model are equivalent to asymmetric equilibria in a general-equilibrium model. We use this equivalence to find equilibrium cycles in the overlapping-generations model with two and three generations, respectively. For the example with two generations we show that for certain parameter values cycles of all periods occur.     

Perpetual youth and endogenous labor supply: A problem and a possible solution

In the “perpetual youth” overlapping-generations model of Blanchard and Yaari, if leisure is a “normal” good then some agents will have negative labor supply. We suggest a solution to this problem by using a modified version of Greenwood, Hercowitz and Huffman’s utility function. The modification incorporates real money balances, so that the model may be used to analyze monetary as well as fiscal policy. In a Walrasian version of the economy, we show that increased government debt and increased government spending raise the interest rate and lower output, while an open-market operation to increase the money supply lowers the interest rate and raises output.     

Multiple equilibria, coordination, and transitional growth

We study a small open economy with two sectors and two factors of production. In one of the sectors, external economies of scale are generated through the industry-level capital input. This leads to a divergence between private and social production possibility frontiers as well as to multiple equilibria. The equilibrium selection problem that arises is solved by agents who follow a simple trial-and-error learning rule. The growth path of the economy as agents learn lies below the production possibility frontier and may display cyclical transitional dynamics. We also show that coordination problems which may prevent the economy from attaining the “good” equilibrium may be alleviated by the temporary use of policy instruments that shape the allocation of resources.     

Environmental tax policy in a model of growth cycles

Summary. The purpose of this paper is to consider environmental taxation which would control emissions of firms in a model of growth cycles. In the model presented below, the economy may experience two phases of growth and environmental quality: “the no-innovation growth regime” and “the innovation-led growth regime”. Aggregate capital and environmental quality remain constant in the no-innovation growth regime, while they perpetually increase in the innovation-led growth regime. The paper shows that the tax plays a key role in determining whether the economy stably converges to one of the two regimes or fluctuates permanently between them. It also shows that there is a critical level of the tax and that the economy obtains higher growth rates of capital and environmental quality by raising (or reducing) the tax if the initial tax is below (or above) the critical level. Received: April 2, 2001; revised version: March 21, 2002 RID="*" ID="*" This research reported here was conducted within the research project “Project on Intergenerational Equity” at Institute of Economic Research, Hitotsubashi University. I am deeply grateful to an anonymous referee for his or her insightful comments, which greatly improved the paper. I also thank Hiroshi Honda, Yasuo Maeda, Yuji Nakayama, and participants in workshops at Hitotsubashi University, Kyoto University, Nagoya University, Osaka University, University of Tsukuba, Yokohama National University, and University of Tokyo for their valuable comments and suggestions. Any remaining errors are mine.     

On economic applications of evolutionary game theory

Evolutionary games have considerable unrealized potential for modeling substantive economic issues. They promise richer predictions than orthodox game models but often require more extensive specifications. This paper exposits the specification of evolutionary game models and classifies the possible asymptotic behavior for one and two dimensional models.     

Learning,non-equilibrium beliefs,and non-pecuniary payoffs in an experimental game

Summary. We present a parametric learning model of players' dynamic and possibly out-of-equilibrium beliefs about other players' preferences that also incorporates random utility (noise). We estimate the model using the data from the four-country ultimatum game experiments of Roth et al. (1991). We find evidence that in the US and in Israel, the estimated beliefs of proposers are stationary and out-of-equilibrium, that in Slovenia, they are in equilibrium, and that in Japan, they are out-of-equilibrium, change from period to period and move away from equilibrium over time. In Japan and in the US, the estimated proposers' beliefs are further away from the uniform prior than the estimated equilibrium beliefs. The results seem to provide support for a non-pecuniary payoff explanation in all countries. Received: May 16, 2000; revised version: December 15, 2001 RID="*" ID="*" We thank Alvin Roth for providing us with the data sets of Roth, Prasnikar, Okuno-Fujiwara, and Zamir (1991). We are very grateful to Vincent Crawford, Joel Sobel, and an anonymous referee for all their comments and feedback. We are also grateful to J?rg Borrmann, Bruno Broseta, Jimmy Chan, Liran Einav, Bernd Engelmann, Drew Fudenberg, Oscar Jorda, Muriel Niederle, Pedro Pereira, Georg Weizs?cker, and audiences at the California Institute of Technology, Harvard University, Universidade Nova de Lisboa, University of Nevada, Las Vegas, and at the European Summer Meetings of the Econometric Society in Lausanne for their comments. Costa-Gomes was affiliated with the Harvard Business School during part of his work on this project. The usual disclaimer applies. Correspondence to:M.A. Costa-Gomes and K.G. Zauner     

Euro Area business cycles in turbulent times: convergence or decoupling?

We study the business cycle properties of the four largest European economies in the wake of the recent recession episodes. The analysis is based on the factors estimated from a multi-country and multi-sector data-rich environment. We measure alikeness of business cycles by studying the synchronization of up and down phases, the convergence properties of country fluctuations towards the Euro Area (EA) cycles and the contribution of the EA factor to national GDP volatilities. While the economic fluctuations of the four EA member states were similar before the global financial turmoil, we gather compelling evidence of an asymmetric behaviour of Spanish fluctuations relative to the EA one.     

On smoothing macroeconomic time series using the modified HP filter

In business-cycle research, smoothing data is an essential first step to evaluate the extent to which model-generated moments stand up to their empirical counterparts. We put to test McDermott’s (1997) modified version of Hodrick and Prescott’s (1997) smoothing filter. On the one hand, our simulations suggest that relative to other filters, the modified HP-filter replicates better artificially generated series with known properties. On the other hand, using true data we find that autoregressive properties of smoothed series are not affected by the choice of smoothing HP filters, but the same does not hold when it comes to multivariate analysis. The later result is especially strong for annual data. We report results for a large set of countries.