Rational habit formation

This paper discusses consumer demand under rational habit formation. If consumer tastes change endogenously through habit stocks depending on past consumption, the rational consumer will make allowance of the future habit forming effects of current consumption. A model with rational habit formation is made formally equivalent to an intertemporal consumer model without habit formation by redefining the cost of consumption and wealth. The cost of consumption is obtained by adding the cost of future induced consumption to the rental price of the commodity. The extended wealth concept is obtained by subtracting the cost of the initial stocks of habits and the cost of future physically necessary consumption from wealth. The paper also investigates the implication of rational habit formation for constructing one period cost of living indices.     

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.     

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.     

A note on external habits and efficiency in the AK model

This paper examines the implications for equilibrium efficiency of alternative formulations of habit formation in the AK model with external habits. Agent’s utility depends on how her current consumption compares to a reference consumption level—the habits stock—determined by average past consumption in the economy. We first prove that perfect substitutability between consumption and habits along the equilibrium path is necessary and sufficient for efficiency. Then, we prove that the competitive equilibrium is efficient if and only if habits enter utility in a subtractive form.     

Dynamic Tax Evasion with Habit Formation in Consumption*

We model the optimal intertemporal decision of an agent who chooses tax evasion and consumption, over an infinite lifetime horizon, where consumption is driven by habits. We find the following: (i) tax evaders reduce consumption in the early stages of habit accumulation and increase it over time; (ii) habit formation has a dampening effect on tax evasion; (iii) neglecting tax evasion can lead to habit overestimation; (iv) the effect of the tax rate on tax evasion is ambiguous; (v) heavy fines are more efficient than frequent controls in reducing tax evasion.     

Habit formation in an endogenous growth model with pollution abatement activities

This paper studies how habit formation in consumption affects pollution abatement activities and the steady-state growth rate, in the context of an endogenous growth model in which agents derive disutility from the habit stock and pollution. The paper also examines how the effect of technological change in abatement on the optimal growth rate is enhanced or weakened by habit formation. We show that if agents persist in and care about their habits, sustained growth is only possible with rapid technological progress.      

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。     

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.     

Habit formation and indeterminacy in overlapping generations models

I introduce habit formation into an otherwise standard overlapping generations economy with pure exchange populated by three-period-lived agents. Habits are modeled in such a way that current consumption increases the marginal utility of future consumption. With logarithmic utility functions, I demonstrate that habit formation gives rise to stable monetary steady states in economies with hump-shaped endowment profiles and reasonably high discount factors. Intuitively, habits imply adjacent complementarity in consumption, which in turn explains why income effects are sufficiently strong in spite of the logarithmic utility. The three-period horizon further strengthens the income effect.     

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.     

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.     

WELFARE IMPLICATIONS OF THE INTERACTION BETWEEN HABITS AND CONSUMPTION EXTERNALITIES*

We analyze the welfare properties of the equilibrium path of a growth model where both habits and consumption externalities affect the utility of consumers. Our analysis highlights the crucial role played by complementarities between externalities and habits in order to generate an inefficient dynamic equilibrium. In particular, we show that the competitive equilibrium is inefficient when consumption externalities and habit‐adjusted consumption are not perfect substitutes.     

Indeterminate Balanced Growth under Habit Persistence and Fiscal Policies

This paper studies a dynamic general equilibrium model with habit persistence in preferences and fiscal policies of taxation and expenditures. Preference takes a subtractive form of habits (the marginal rate of substitution between the agent's own consumption and habit stocks is constant), and technology is linear in aggregate capital (the economy grows without a limit in the long run). We find a continuum of competitive equilibrium paths in conjunction with a unique balanced growth path in the growing economy, in which habits represent both envy/jealousy and altruism/admiration. In addition, in the social optimum under second-best fiscal policies, we show the existence of indeterminacy in transitional allocations along with a unique balanced growth path. Thus, we find that the introduction of habits influences the patterns of the transitional paths but has no impact on the balanced growth path in either competitive or social optimum allocations. The second-best fiscal policy, therefore, restores the socially optimal balanced growth rate but fails to select the unique transitional path among multiple competitive equilibrium paths in the imperfectly competitive economy.     

Green tax reforms and habits

Using a dynamic general equilibrium model, we explore the role of habit formation when analyzing green tax reforms under the double dividend hypothesis. We assume increases in energy taxes and adjust capital taxation in a revenue-neutral framework to evaluate the effects on welfare. Since the existence of an environmental dividend is uncontroversial, we mainly focus on the efficiency dividend. Our findings show that, when taxes on household energy consumption increase, habits and transitional dynamics alter household decisions, and change the efficiency dividend. However, when the tax increase is on energy used as an input, reform always induces a welfare cost in terms of efficiency. In this case, habits play a less important role.     

Intertemporal substitution in import demand and the role of habit formation: an application of Euler equation approach for Pakistan

Introduction

The study examines the importance of intertemporal substitution in import demand considering the role of habit formation. A two-goods version of the permanent income model is used in which time-non-separability in consumers’s preferences is assumed. The model is estimated using annual data for Pakistan at disaggregated level covering the period from 1977 to 2017.

Objectives

The objective of the study is to estimate elasticities of substitution along with parameters of habit formation for consumption goods at a disaggregated level.

Method

The study employs co-integration for the estimation of parameters of elasticities of substitution and generalized method of moments (GMM) for the estimation of the parameters of habit formation from Euler equations.

Findings

The estimates of intertempral elasticity of substitution suggest that the nature of commodity group (necessity/luxury) plays an important role when consumers are making intertemporal choices. Moreover, the study finds that intratemporal elasticity of substitution is larger than intertempral elasticity of substitution in almost all cases in Pakistan, suggesting that imported and domestic goods are best described as substitutes in Edgeworth-Pareto sense. In addition, the inclusion of habit formation delivers results with plausible signs and the habit formation process seems significant for certain commodity groups including tea, beverages, tobacco products and drugs.

Conclusion

The study concludes that there is a possibility of crowding out effect on domestic consumption and the depreciation of local currency may improve Pakistan’s balance of trade.

     

Can consumption habit spillovers be a source of equilibrium indeterminacy?

This paper investigates whether the external consumption habit can be a source of indeterminacy in a one-sector growth model when the labor supply is elastic. When there is a proper habit effect with a positive intertemporal elasticity of substitution, we find that the model exhibits indeterminacy if the coefficient of the habit formation is sufficiently large that allows for a substantial impact of current consumption on the habit. Indeterminacy arises even though the elasticity of the Frisch labor supply is positive and the elasticity of the labor demand in negative. In a calibrated version, we find that indeterminacy is empirically plausible when the habit effect is negative that features the “catching up with the Joneses” effect. Under given “catching up with the Joneses” effects, the external consumption habit can be a source of indeterminacy even if more than a half of the external consumption habit comes from past average consumption.     

Revisiting the process of aggregate growth recovery after a capital destruction

We study the implications of a growth model including social capital and habit formation concerning the recovery of economies that suffer from an exogenous destruction in their capital stock. Habits exhibit very low persistence and depend only on last period’s consumption as suggested by empirical evidence. In addition to physical capital, agents invest in social capital which generates both market (production) and non-market (utility) returns. We study an infinite horizon model and compare its implications to a model with habit formation but without social capital. Our framework is more efficient in generating dynamic patterns that replicate the behavior of the main economic variables during the reconstruction period. High investment in social capital at the beginning of the transition is a key element of our results.     

Voluntary import expansions with non‐stationary demand

Abstract.  In this paper the effect of voluntary imports expansions (VIEs) on welfare in a dynamic game is analysed. It is found that (1) there exists a Markov perfect Nash equilibrium (MPNE) and a unique stable steady state; (2) with habit formation in consumption, the welfare and output for each firm are higher than that without habit formation; and (3) VIEs can increase an importing country's welfare with raised consumption and lowered price. Therefore, VIEs can be voluntary to an importing country. JEL classification: F13, F12     

习惯形成、收入阶层异质性与我国城镇居民消费行为研究

习惯形成是居民消费变化的一个基本特征，收入阶层异质性是居民禀赋差异的主要体现，本文旨在结合两者探究我国城镇居民的消费行为，以探寻扩大居民消费的方法。基于阶层消费函数理论，运用收入阶层面板SUR的结果显示，居民消费具有显著的习惯形成特征，消费行为呈现异质性，表现为低收入居民的消费习惯较弱、消费倾向较高，中等收入居民的习惯较强、消费较谨慎，高收入居民的习惯较强、地位性消费较活跃。当前“金字塔”形的收入分布、不断扩大但谨慎的中等收入居民、地位性消费的外流抑制了城镇居民消费的扩大，居民消费的相对不足主要是结构性问题。应依据各阶层消费的特点，从供给侧出发构建长效机制，促进低收入居民的收入平稳增长，多方面减弱中等收入居民的谨慎性，并提升国内消费品的质量和档次。     

Capital utilization and habit formation in a small open economy model

Abstract.  This paper shows the effects of endogenous capital utilization and habit formation in consumption on the predictions of a small open economy model calibrated to Canada. Capital utilization improves the fit of the model by increasing the volatility of output, investment, and hours worked, while habit formation improves the fit of the model by improving the dynamic properties of consumption and the current account. It is also shown that while shocks to the world interest rate sometimes improve the fit of the baseline model, they do not improve the fit of the model with capital utilization and habit formation. JEL classification: E32, F32