Non-parametric test of time consistency: Present bias and future bias

This paper reports the elicited time preference of human subjects in a laboratory setting. The model allows for non-linear utility functions, non-separability between delay and reward, and time inconsistency including future bias in addition to present bias. In particular, the experiment (1) runs a non-parametric test of time consistency and (2) estimates the form of time discount function independently of instantaneous utility functions, and then (3) the result suggests that many subjects exhibiting future bias, indicating an inverse S-curve time discount function.     

Hyperbolic discounting and the standard model: Eliciting discount functions

Experiments on static intertemporal choice find evidence of particularly extreme impatience toward immediate rewards. While this is often taken as support for hyperbolic discounting, it could also arise because the most likely participants in experiments may be those with the most immediate need for money. We conduct a calibration exercise and find that the extreme impatience observed in experiments can be accommodated by a standard exponential discounting model with no discounting and expectation of a ‘small’ increase in the base consumption level. The calibration uses existing estimates of curvature of utility.     

Consumption externalities with endogenous time preference

This paper shows that in a model with inelastic labor supply, consumption externalities have impacts on stationary consumption and capital. The key element in observing the effects of consumption externalities on stationary consumption and capital is the endogeneity of the time preference rate, which depends on future-oriented resources rather than on private consumption. We conclude that when individuals experience jealousy, they become more impatient, leading to a lower level of capital stock and a higher level of consumption relative to those of the social optimum, while when they experience admiration, these relationships are reversed. We examine an optimal tax policy that replicates the socially optimal path in the centrally planned economy. Finally, using numerical analysis we explore how this economy evolves through time.      

Non-constant discounting in continuous time

This paper derives the dynamic programming equation (DPE) to a differentiable Markov Perfect equilibrium in a problem with non-constant discounting and general functional forms. Beginning with a discrete stage model and taking the limit as the length of the stage goes to 0 leads to the DPE corresponding to the continuous time problem. The note discusses the multiplicity of equilibria under non-constant discounting, calculates the bounds of the set of candidate steady states, and Pareto ranks the equilibria.     

Spatial discounting of ecosystem services

The impact of conservation efforts targeted at preserving ecosystem services largely depend on the welfare implications associated with spatial variations in the provision of ecosystem services. While there is ample empirical evidence of spatial discounting or decay of the valuation of ecosystem services, there are still few underpinnings based on welfare economic theory. We establish a theory of spatial discounting that closely follows the concept of time discounting pertaining to climate change, and show spatial discount rates in the consumption, ecosystem service, and willingness to pay (WTP) numeraires. We consider the role of key parameters such as pure rate of spatial preference, consumption change, ecosystem services change, population density, and elasticity of marginal utility. We find that the spatial discount rate of WTP for ecosystem services that frequently appears in the empirical literature is the difference between the ecosystem service discount rate and consumption discount rate, where the ecosystem service discount rate includes both physical distance decay and welfare effects. Finally, we use numerical simulations to illustrate how the three different spatial discount rates vary with the spatial distance from the source of ecosystem services and with consumption patterns, implying many more possible spatial variations of WTP.     

时间偏好不一致的行为经济学解释

行为经济学摆脱了传统理论抽象的完全理性人假设的束缚,利用实验经济学和心理学的相关知识,提出基于有限理性的行为人的假设,在此基础上,从人们的不耐心递减、有限意志力、估测偏见、参照点依赖四个方面的特性来说明行为经济学对人们时间偏好不一致的解释。     

Impact of infectious disease pandemics on individual lifetime consumption: An endogenous time preference approach

This paper considers the impact of the coronavirus disease 2019 (COVID-19) pandemic on long-term individual lifetime consumption profiles. The framework for the analysis is a model that extends Strulik (2021) to include the government sector, where time preference is determined by individual health damage (deficit) distinct from normal aging. Thus, the health damage caused by COVID-19 changes the rate of time preference and consequently affects the Euler equation for consumption. Our theoretical contribution is the consistent incorporation of public health investment into the existing model to understand the effect of government measures against a pandemic. Numerical analysis based on this model is used to estimate changes in health status over time, trends in the rate of time preference, and individual lifetime consumption profiles, taking into account differences in age at the time of the pandemic and the nature of the government responses. Because the long-term negative economic impact would be enormous, we should avoid advocating for “living with COVID-19” without due consideration. The reopening of the economy must be accompanied by a commitment to the containment and elimination of infections with future novel coronaviruses.     

An integral equation representation for overlapping generations in continuous time

This paper develops a method for solving for the dynamic general equilibrium of a deterministic continuous time overlapping generations model with a finite-horizon life-cycle. The model has isoelastic preferences and allows for general assumptions about individual endowments and demographics. Solving for an equilibrium reduces to solving a nonlinear integral equation. In the special case of log utility, the integral equation is linear and global approximations to a solution are easily computed with linear algebra.     

An Alternative Approach to the Concept of Demand

The authors argue that the loanable-funds approach is substantively equivalent to the more widely used IS-LM pedagogy but is simpler and more readily comprehended by students. They demonstrate its use for analyzing the macroeconomic goods, money, and labor market interactions and policy applications.     

Estimating a continuous time portfolio selection model: An application with UK data

An empirical assessment of a continuous time portfolio selection model is studied for the UK economy between 1970 and 1996. The estimates obtained from this study are both statistically significant and consistent with the model's predictions. The estimate of risk aversion parameter refers to low risk aversion which is consistent with the optimal risky asset holding parameter. Furthermore, the estimated parameters of the asset pricing relationship are also found to be consistent with the historical values of the stock prices. First version received: February 1998/final version received: March 1999     

从“职能革命”到公共机构改革——卡梅隆联合政府公共机构改革对我国事业单位改革的启示

卡梅隆联合政府推出公共机构改革采取保留机构、不再作为非部门公共机构等7种措施,从逻辑上可以概括为依法治理公共机构、职能革命和财政减负,借鉴这些措施与改革逻辑,我国政府可以推出政府局、行政执行局、公共事业单位等公共机构改革模式,在每种模式特定的路径下,不仅可以解决政府越位、缺位、缺力、虚位问题,也能够解决公益缺位、服务缺位和服务低质问题,还可以解决目前事业单位改革分类模糊、缺乏实施机制的问题。     

Joint estimation of discount rates and willingness to pay for public goods

We analyze willingness to pay (WTP) for environmental programs whose time periods of benefit and repayment differ, using a net present value framework that identifies parameters of both WTP and personal discount rates. Respondents to a contingent valuation survey focusing on protection of critical habitat buffer zones for the endangered Steller Sea Lion in Alaska were asked their willingness to pay for 1-, 5-, and 15-year repayment periods. We jointly estimate the personal discount rates and WTP via maximum likelihood, and compare with a model assuming a fixed, market discount rate.     

An extension of the multi-output state-contingent production model

This paper presents new developments on the state-contingent theory of production under uncertainty with stochastic prices. Our main purpose is to generalize the usual finite discrete state-contingent production model to infinite dimensional, possibly uncountable spaces which look like a more realistic framework. Usual duality results are established in this general context, shedding some light on the links between risk-neutral probabilities and shadow prices. A direct generalized production risk premium is defined and is shown to be independent of the inputs level when the technology is output translation homothetic. In such a case, the technology exhibits constant absolute riskiness. We thank Bob Chambers for his helpful comments.     

Boiteux's solution to the shifting-peak problem and the equilibrium price density in continuous time

Summary. Bewley's condition on production sets, imposed to ensure the existence of an equilibrium price density when is the commodity space, is weakened to allow applications to continuous-time problems, and especially to peak-load pricing when the users' utility and production functions are Mackey continuous. A general form for production sets with the required property is identified, and examples are given of technologies which meet the weakened but not the original condition: these include industrial use and storage of cyclically priced goods. This gives a framework for settling Boiteux's conjecture on the shifting-peak problem. To make clear the restriction implicit in Mackey continuity, we interpret it as interruptibility of demand; and we point out that, without this assumption, the equilibrium can feature pointed peaks with singular, instantaneous capacity charges. The general equilibrium results are supplemented by results for prices supporting individual consumer or producer optima. Received: February 16, 2000; revised version: July 7, 2001     

An extension of mixed estimation,with an application to forecasting new product growth

This paper extends the mixed estimation technique to handle a case in which the coefficients of a set of linear constraints are known nonlinear functions of an unknown parameter vector for which an extraneous unbiased estimate is available. This novel form of the mixed estimation technique is illustrated by applying it to the Bass innovation/diffusion model of new product growth. It is suggested that this is superior to the traditional method whereby managerial intuition is incorporated into this type of model, and is an attractive alternative to recently-suggested Bayesian methods.I thank an anonymous referee for helpful comments and references.     

An evolutionary model of recycling and product lifetime extension

This paper presents a model-based analysis of the development and diffusion of so-called ‘green’ products, i.e. those which are easily recyclable and which have a long lifetime. We address this problem by developing an evolutionary simulation model to identify the impact of the environmental R&D strategies of business firms on the economy and the environment. The simulation results show that R&D investment both in product recyclability and in product lifetime extension can be positive for the firm. Adopting such a strategy means that the firm can then market green products, which provides it with a competitive advantage on firms investing mainly in product recyclability whatever consumers' preferences. From an environmental point of view, the diffusion of green products will reduce both waste flows in the economy and pressure on virgin resources. However, diversifying R&D investment to develop both product recyclability and lifetime can mean slowing down the flow of recycled materials and may lead to even greater quantities of unrecycled waste. Our results suggest introducing regulation policies aiming at encouraging firms to invest both in product recyclability and lifetime in order to benefit from their complementarities. Furthermore, simulations show that it should be better to direct environmental policies on firms' environmental innovation strategies than on demand attributes because significant changes in these strategies would provide much more radical environmental changes.     

Testing of the mean reversion parameter in continuous time models

In this paper we use the approximate bias expressions developed in Yu (2012) and Bao et al. (2013) to improve the testing of the ordinary least squares or quasi-maximum likelihood estimator of the mean reversion parameter in continuous time models. We follow the approach given in Iglesias and Phillips (2005) and Chambers (2013), where if we bias correct the estimated mean reversion parameter, we can improve on the small sample properties of the testing procedure. Simulation results confirm the usefulness of this approach using a t$t$-statistic in this setting in the near unit root situation when the mean reversion parameter is approaching its lower bound. Therefore we always recommend bias correcting when applying a t$t$-statistic in practice in this context.     

An extension of the Blinder–Oaxaca decomposition to a continuum of comparison groups

This paper proposes an extension of the Blinder–Oaxaca decomposition from two to a continuum of comparison groups. The proposed decomposition is then estimated for racial wage differences in urban Peru, exploiting a novel data set that allows the capturing of different degrees of mestizaje (racial mixtures).     

An experimental study of persuasion bias and social influence in networks

In many areas of social life, individuals receive information about a particular issue of interest from multiple sources. When these sources are connected through a network, then proper aggregation of this information by an individual involves taking into account the structure of this network. The inability to aggregate properly may lead to various types of distortions. In our experiment, four agents all want to find out the value of a particular parameter unknown to all. Agents receive private signals about the parameter and can communicate their estimates of the parameter repeatedly through a network, the structure of which is known by all players. We present results from experiments with three different networks. We find that the information of agents who have more outgoing links in a network gets more weight in the information aggregation of the other agents than under optimal updating. Our results are consistent with the model of “persuasion bias” of DeMarzo et al. (2013. Q. J. Econ., 909) and at odds with an alternative heuristic according to which the most influential agents are those with more incoming links.     

Substitution in consumption: An application to the allocation of time

In this article, we have constructed a model, where the commodity-price effect and the good- price effect in a Becker-Lancaster model are related, and the relevance of factor substitution in consumption technology can be verified. A first application is made to the allocation of time for Belgian data.