Deep habits in consumption: a spatial panel analysis using scanner data

Using scanner data from a large European retailer, this paper empirically assesses deep habit formation in consumption. Deep habit formation constitutes a possible source of price stickiness and helps to mimic procyclical labour and real wage dynamics that are present in macrodata. To gauge the existence and the extent of deep habits in consumption, we estimate a dynamic time–space simultaneous model for consumption expenditure at different levels of product aggregation. This spatial panel model enables us to test for both internal and external deep habit formation at the same time. The former captures inertia or persistence in consumption and is included in the empirical specification as a time lag. The latter captures preference interdependence across households and is captured by a spatial lag. Our results show mixed evidence with respect to internal habit formation, whereas the external habit effect is almost always positive and significant.     

经济转轨与城镇化进程中的居民消费行为特征——对1396户城镇家庭的实证分析

基于中国9个省1396户城镇家庭的面板数据,运用系统广义矩估计法对一个包括习惯形成和不确定性的欧拉方程进行估计以考察家庭消费是否跨时演进,研究结果表明,偏好的设定偏误是传统的生命周期——持久收入模型不能很好地诠释中国城镇家庭消费决策的一个原因,在解释消费决策的影响因素时假定偏好的跨时可分性会得出错误的结论,城镇居民消费偏好的跨时不可分性以及由收入和支出不确定性引发的预防性储蓄动机是导致居民消费倾向持续偏低的重要原因。     

Consumption Externalities,Habit Formation and Equilibrium Efficiency*

We analyze the welfare properties of the competitive equilibrium in a capital accumulation model where individual preferences are subject to both habit formation and consumption spillovers. Using an additive specification for preferences, according to which the argument in the utility function is a linear combination of present and past values of own consumption and consumption spillovers, we analyze the circumstances under which these spillovers are a source of inefficiency. It is shown that consumption externalities have to interact with habits in order to generate an inefficient dynamic equilibrium. Finally, we characterize optimal tax policies aimed at restoring efficient decentralized paths.     

Habit Formation, Catching Up with the Joneses, and Economic Growth

Our objective is to investigate how alternative assumptions about preferences affect the process of economic growth. To do this, we analyze a neoclassical growth model under three alternative preference specifications: (i) time separable, (ii) catching up with the Joneses, and (iii) habit formation. Departing from the time separable specification leads to important differences in the dynamic structure, the adjustment path followed by key economic variables, the correlation patterns implied by the time series generated by the model, and the speed of convergence to the new steady state. In the catching up with the Joneses economy the differences arise from a consumption externality, while in the habit formation economy the difference arises from the fact that agents not only smooth consumption but also its rate of change.     

International Adjustment With Habit-Forming Consumption: A Diagrammatic Exposition*

This paper presents a simple diagrammatic analysis of an open economy's external adjustment process under habit-forming individual preferences. the exposition focuses on the consumption side and alms to make transparent the linkage among wealth, past consumption experience, and current consumption. an extension of the standard representative-agent model to a growing economy of overlapping generations completes the paper. Under habit formation an agent's consumption exhibits a form of hysteresis, in that his current consumption depends on his past consumption experience as well as initial assets. In the overlapping-generations model aggregate hysteresis disappears in the long run.     

Nonseparable preferences and optimal social security systems

In this paper, we consider economies in which agents are privately informed about their skills, which evolve stochastically over time. We require agents' preferences to be weakly separable between the lifetime paths of consumption and labor. However, we allow for intertemporal nonseparabilities in preferences like habit formation. In this environment, we derive a generalized version of the Inverse Euler Equation and use it to show that intertemporal wedges characterizing optimal allocations of consumption can be strictly negative. We also show that preference nonseparabilities imply that optimal differentiable asset income taxes are necessarily retrospective in nature. We show that under weak conditions, it is possible to implement a socially optimal allocation using a social security system in which taxes on wealth are linear, and taxes/transfers are history-dependent only at retirement. The average asset income tax in this system is zero.     

Rational demand and expenditures patterns under habit formation

This paper proposes a model in which habit formation is present in a relatively general but tractable way. The consumer's problem is transformed into a sequence of two-period Fisherian problems by introducing a “reduced utility function” to ensure full dynamic rationality of the consumer. By making preferences dependent on past real expenditure levels rather than past consumption bundles, it is possible to characterize the long-run behavior of the consumer. Stability analysis is performed. The cases of “immediate habit formation” and “delayed habit formation” are discussed.     

Deep Habits

This paper generalizes the standard habit-formation model to an environment in which agents form habits over individual varieties of goods as opposed to over a composite consumption good. We refer to this preference specification as deep habit formation. Under deep habits, the demand function faced by individual producers depends on past sales. This feature is typically assumed ad hoc in customer-market and brand-switching-cost models. A central result of the paper is that deep habits give rise to countercyclical mark-ups, which is in line with the empirical evidence. This result is important, because ad hoc formulations of customer-market and switching-cost models have been criticized for implying procyclical and hence counterfactual mark-up movements. Under deep habits, consumption and wages respond procyclically to government-spending shocks. The paper provides econometric estimates of the parameters pertaining to the deep-habit model.     

Portfolio choice with internal habit formation: a life-cycle model with uninsurable labor income risk

Motivated by the success of internal habit formation preferences in explaining asset pricing puzzles, we introduce these preferences in a life-cycle model of consumption and portfolio choice with liquidity constraints, undiversifiable labor income risk and stock-market participation costs. In contrast to the initial motivation, we find that the model is not able to simultaneously match two very important stylized facts: a low stock market participation rate, and moderate equity holdings for those households that do invest in stocks. Habit formation increases wealth accumulation because the intertemporal consumption smoothing motive is stronger. As a result, households start participating in the stock market very early in life, and invest their portfolios almost fully in stocks. Therefore, we conclude that, with respect to its ability to match the empirical evidence on asset allocation behavior, the internal habit formation model is dominated by its time-separable utility counterpart.     

财富偏好、习惯形成和消费与财富的波动率

本文构造了基于财富和习惯的消费—资产组合投资模型,其中代表性投资者的效用函数不但依赖于投资者的消费历史,还依赖于其财富水平。本文所提出的模型是对Merton(1971)、Bakshi和Chen(1996)、Sundaresan(1989)和Constantinides(1990)的消费—资产组合投资模型的推广。我们使用随机动态规划求解模型,并给出了最优的消费和组合投资规则。我们使用此模型计算了消费与财富的波动率,发现习惯形成和较弱的财富偏好均能导致更加平滑的消费行为,从而解释了消费平滑之谜。     

消费习惯、异质偏好与动态资产定价:纯交换经济情形

本文用Chan和Kogan、Bask和Cuoco等的方法考虑纯交换经济下的定价问题,我们引进了两个投资者:一个具有外在性消费习惯;一个不具有消费习惯。我们重点考察消费习惯对投资者的最优消费规则的影响以及对资产价格的确定。此外,我们还考虑了对数效用函数下,消费习惯以差的形式出现的情形下的消费规则和定价问题。我们发现当两个投资者中一个具有消费习惯而另一个不具有该习惯时,消费习惯同时改变两个投资者的最优消费规则、消费动态和财富动态。此时的动态资产定价受外在性消费习惯的影响,即时Sharpe比为常数,并等于同质量经济下的即时Sharpe比。同时,如果考虑对数效用函数下消费习惯以差的形式出现,则即时Sharpe比是时变的,反周期的。     

The dynamics of preference formation

Individual's preferences are explained on the basis of two types of influences, his own past consumption and the consumption of others which is directly observable by him. These effects are estimated using the “individual welfare function” approach of Van Praag, and a model of preferences formation.     

中国居民消费、习惯偏好与资产收益研究

习惯模型是行为资产定价理论的重要组成部分,该模型将经济主体的习惯因素纳入到资产定价之中,由此推进了消费资本资产定价理论的发展。习惯模型已经在欧美等国家和地区得到了广泛研究,而在资本市场蓬勃发展的中国则处于被人遗忘的尴尬境地。本文利用外在习惯偏好模型对我国居民消费、习惯偏好与资产收益进行分析。GMM结果是混合性的,模型可以较好地拟合数据,GMM结果无法否定外在习惯偏好模型,因而无法否定习惯因素在消费与资产收益分析中的重要性。     

Can Habit Formation Be Reconciled with Business Cycle Facts?

Many asset pricing puzzles can be explained when habit formation is added to standard preferences. We show that utility functions with a habit then gives rise to a puzzle of consumption volatility in place of the asset pricing puzzles when agents can choose consumption and labor optimally in response to more fundamental shocks. We show that the consumption reaction to technology shocks is too small by an order of magnitude when a utility includes a consumption habit. Moreover, once a habit in leisure is included, labor input is counterfactually smooth over the cycle. In the case of habits in both consumption and leisure, labor input is even countercyclical. Consumption continues to be too smooth. Journal of Economic Literature Classification Numbers: E13, E21, E32.     

International trade and “Catching up with the Joneses”: Are the consumption patterns convergent?

We use a dynamic international trade model to analyse the implications of international trade for agents’ preferences and economic growth. This model is based on the home market effect with external habit formation (“catching up with the Joneses”) and “learning by doing” in production. We demonstrate the following: the historical composition of consumption in countries determines industrialization after trade; the preferences of agents converge after trade, independent of the economic results; and the welfare effects of trade may be positive or negative depending on trading partner characteristics. In some scenarios, autarky is strictly preferred to trade. Thus, international trade does not necessarily imply greater welfare, as is the typical result in a static context under CES preferences.     

Saving and habit formation: evidence from Dutch panel data

This paper focuses on the role of habit formation in individual preferences. In this study, the model of Alessie and Lusardi (Econ Lett 55:103–108, 1997) and its extension by Guariglia and Rossi (Oxf Econ Pap 54:1–19, 2002) are considered. Our empirical specifications are based on their closed-form solutions, where current saving is expressed as a function of lagged saving and other regressors. In our study, we use a longitudinal data set from the Netherlands that allows us to disentangle the role of habit formation from unobserved heterogeneity. Contrary to most other studies using survey data, we find evidence in favor of habit formation. However, the magnitude of the habit formation coefficient is rather small. Income uncertainty seems to affect saving behavior of Dutch households.     

Growth, habit formation, and catching-up with the Joneses

When habits are introduced multiplicatively in a capital accumulation model, the consumers’ objective function might fail to be concave. In this paper, we provide conditions aimed at guaranteeing the existence of interior solutions to the consumers’ problem. We also characterize the equilibrium path of two growth models with multiplicative habits: the internal habit formation model, where individual habits coincide with own past consumption, and the external habit formation (or catching-up with the Joneses) model, where habits arise from the average past consumption in the economy. We show that the introduction of external habits makes the equilibrium path inefficient. We characterize in this context the optimal tax policy.     

To be consumed with moderation

We study the optimal behavior of a hyperbolic discounting agent who has incomplete information about his own preferences and can only learn them through consumption. We show that, even if moderate current consumption and moderate future consumption always dominates abstinence, the agent may optimally decide not to consume as a commitment device against inefficient learning that would lead to future excesses. This provides a rationale for why smokers, gamblers or compulsive buyers stick to second-best personal rules of behavior - such as “abstinence” - without invoking standard habit formation arguments. We also study how urges modify the strategy of the individual.     

Myopia, redistribution and pensions

This paper reviews a number of recent contributions that study pension design with myopic individuals. Its objective is to explore how the presence of more or less myopic individuals affects pension design when individuals differ also in productivity. This double heterogeneity gives rise to an interesting interplay between paternalistic and redistributive considerations, which is at the heart of most of the results that are presented. The main part of the paper is devoted to the issue of pension design when myopic individual do not save “enough” for their retirement because their “myopic self” (with a high discount rate) emerges when labor supply and savings decisions are made. Some extensions and variations are considered in the second part. In particular we deal with situations where labor disutility or preferences for consumption are subject to “habit formation” and where sin goods have a detrimental effect on second period health. Myopic individuals tend to underestimate the effects of both habit formation and sinful consumption, which complicates public policy.     

Habits, hysteresis and catastrophes in labor supply

This paper investigates the implications of a general model of locally unstable habit formation with respect to consumption, household time and corporate time. The model is shown to imply multiple long-run equilibria exhibiting hysteresis and catastrophes dependent on rationings and the wage rate. This can explain profound changes in labor supply preferences and behavior such as when long-term unemployed become little motivated to get a new job or when former housewives develop a strong orientation towards paid work.