The Group Size Paradox Revisited

Esteban and Ray (2001) model an increasing marginal cost of effort in providing a public good. If the marginal cost of contribution function has an elasticity greater than 1, then the level of provision is increasing in group size, regardless of the degree of rivalry of the public good. We modify their model to a standard public goods setting, where their results continue to hold. We then add small fixed costs of participation to the model. If the good is sufficiently rival, one of Olson's (1965) central propositions is restored: public goods will fail to be provided in large groups.     

Observable preferences for public goods

This paper discusses the circumstances under which it is possible to use the market or aggregate demand functions generated from individual utility maximization to obtain consumers' preferences for certain classes of public goods, and thus obtain the information needed to satisfy the Samuelsonian efficiency conditions for these public goods. The restrictions on the preferences of all consumers which are sufficient to use the aggregate demand function are: (i) there exists a price vector such that the level of public good provisiion is valueless, and (ii) the marginal rate of substitution of the private good price for the level of public good provision is independent of income.     

The Collective Household, Household Production and Efficiency of Marginal Reforms

Most research on the welfare properties of taxes employs the unitary model of the household, ignoring household production. A simple model provides expressions for the changes in individual utility given marginal reforms to government policy. It is shown that the burden of a higher tax on household goods falls on the household member that consumes more than they produce or purchase. Numerical calculations show that price substitution (complementarity) between home and market labor increases (decreases) aggregate efficiency costs of a marginal redistribution of income without impacting the intra-household distribution of utility changes. Modeling household goods as public versus private can alter the distributional consequences of marginal reforms.     

Public Good Provision Under Monopolistic Competition

This paper presents a model of voluntary private provision of public good under monopolistic competition following Pecorino. Consumers prefer product varieties and a public good. Marginal utility of income depends inversely upon the aggregate consumption of private goods in this model. As population size increases, aggregate consumption of private goods goes up and marginal utility of income falls. This explains the positive relationship between population size and public good provision. Any technological changes in the production of private goods are shown to be neutral to the aggregate provision of public good. These results are in contrast to Pecorino.     

Group size paradox and public goods

In an economy with voluntarily provided public goods and private product varieties, and a general class of CES preferences, it is shown that aggregate public good contribution follows an inverted-U pattern with respect to group size when private and public goods are substitutable in preferences. With complementarity, however, aggregate provision grows monotonically with group size.     

Keynesian Multipliers, Direct Crowding Out, and the Optimal Provision of Public Goods

This paper studies Keynesian multipliers in a macroeconomic model with monopolistic competition. We allow public and private consumption goods to be perfect substitutes in private utility. This enables us to study the effect of direct crowding out on the size of national income, profit and employment multipliers for a given rise in real public spending. A positive real national income multiplier is obtained if consumers value public consumption less than private consumption. In addition, we determine the effective marginal cost of public funds and the optimal provision of public goods, both in the short run and in the long run.     

A STABLE NASH MECHANISM FOR QUASI-ADDITIVE PUBLIC-GOOD ENVIRONMENTS*

In this paper we present a simple game form implementing Lindahl allocations as Nash equilibrium outcomes, which has nice stability properties. we show that if the preferences of eaach consumer are representable by a utility function of the form a(y)x_i+b_i(y), where x_i(y), where x_i is the amount of private good and y, the amount of public good, then the Nash equilibrium of our geme is locally stable under the gradient adjustment process. This restriction on the preferences has been known in hte literature as the necessary and sufficient condition for the Pareto optimal amount of pukic goods to be independent of the private goods distribution. This type of preference includes quasi-linear preferences as a special case. but unlike quasi-linearity, this allows a non zero income effect of demand for public goods as well as private goods, which is often supported by empirical evidence. Our result shows how an equilbirium can be achieved over time by a decentralized strategy adjustement process for a fairly general class of environments, even in the absence of a dominant-strategy equilibrium.     

On the set of Pareto efficient allocations in economies with public goods

Summary We examine the set of Pareto-efficient allocations in economies with public goods. We show that even if preferences are continuous and strongly monotonic, it need not coincide with the set of weakly efficient allocations. We then study topological properties of the Pareto set. We show that it is neither connected nor closed in allocation space. Furthermore, if the public goods are local, the image of the Pareto set in utility space need not be closed or connected. We provide two independent sufficient conditions for the closedness of the Pareto set. The results are directly applicable to private goods economies with joint production. Our results should be of interest for general equilibrium and mechanism design theory; where for example, the properties of the efficient set are important for proving the existence of an equilibrium and for the study of the properties of monotone-path social choice correspondences.We thank Hideo Konishi, Tomoichi Shinotsuka, Nicholas Yannelis and an anonymous referee for valuable comments on previous drafts of this paper.     

Factor Endowments and the Private Provision of Public Goods

The paper examines the consequences of increasing the size of the community in the standard model of the private provision of public goods when costs are variable. In contrast to an economy with fixed costs, the provision of the public good can fall with a larger community, and an increased provision of the public good is neither a necessary nor a sufficient condition for individual utility to rise. The paper also contributes to the literature on immiserizing growth in that it shows that capital accumulation can possibly result in lower utility for all individuals.     

Optimal Design of Forest Taxation with Multiple-Use Characteristics of Forest Stands

The paper studies optimal forest taxation under uncertainty about future timber price when private forest owners value amenity services of forest stands and forest stands have public goods characteristics. It is assumed that preferences of forest owners can be described by a quasi-linear, intertemporal utility function which reflects risk aversion in terms of consumption and constant marginal utility in terms of amenity services. The comparative statics of current and future harvesting in terms of timber price risk, site productivity tax and yield tax are first developed. It is shown that, given the optimal site productivity tax, which is independent of the timber harvested and thus non-distortionary, it is desirable to introduce the yield tax at the margin; it both corrects externality due to the public goods characteristic of forest stands and serves as a social insurance device. The optimal yield tax is less than 100% and depends on the social value of forest stands, timber price risk and properties of compensated timber supply. In the general case the 'inverse elasticity rule – according to which the optimal yield tax is negatively related to the size of the substitution effects – may not hold. Under certainty, the desirability of the yield tax, given the optimal site productivity tax, depends only on the existence of public goods characteristic and is thus a pure Pigouvian tax.     

Networked innovation and coalition formation: the effect of group-based social preferences

In this paper, we study the production and dissemination of public knowledge goods, such as technological knowledge, generated by a network of voluntarily cooperating innovators. We develop a private-collective model of public knowledge production in networked innovation systems, where group-based social preferences have an impact on the coalition formation of developers. Our model builds on the large empirical literature on voluntary production of pooled public knowledge goods, including source code in communities of software developers or data provided to open access data repositories. Our analysis shows under which conditions social preferences, such as ‘group belonging’ or ‘peer approval’, influence the stable coalition size, as such rationalising several stylized facts emerging from large-scale surveys of open-source software developers, previously unaccounted for. Furthermore, heterogeneity of social preferences is added to the model to study the formation of stable but mixed coalitions.     

Consumption and fiscal policy

This paper uses the life-cycle approach to derive an equilibrium intratemporal efficiency condition which relates the marginal utility of consumption of nondurable goods and services to the marginal utility of consumption of services from durable goods. Given this condition and the assumption that marginal utilities are affected by the level of public spending, a long-run relationship between components of private consumption and public expenditure is then postulated. The application of cointegration analysis to UK data supports the existence and uniqueness of such a long-run relationship, and estimates based on the error correction approach produce results which suggest that (i) a change in public spending has different effects on components of private consumption in the short-run, and (ii) the entire burden of long-run substitution falls on nondurable consumption.     

The role of risk aversion in public goods dilemmas with environmental uncertainty: an experimental analysis

The purpose of this study is to extend earlier research on environmental uncertainty in public goods dilemmas. The present paper reports the results of an experiment designed to examine the effect of risk aversion on public goods provision. A von Neumann–Morgenstern utility function with constant coefficient of relative risk aversion is used to investigate the impact of risk attitudes within a threshold public goods environment. The outcome of the threshold public goods experiment shows that subjects are indifferent to the changes in environmental conditions. Additionally, the analysis indicates that risk aversion is a significant determinant of voluntary public goods contribution level.     

Publicly Provided Private Goods and Redistribution: A General Equilibrium Analysis

Public provision of private goods is examined within a self-selection framework where production depends on labour supply of different households and the level of public provision. It is shown that productivity and wage-structure effects can create a role for public provision, even if preferences are weakly separable between goods and leisure. Public provision of education may offer an intuitively appealing case for the production-side impacts. We also address the reasons for public provision in a dynamic, overlapping generations economy, whereby public provision may affect efficiency and social costs of redistribution of future generations as well.
JEL classification : H 23; H 42     

Demand for locally provided public services within the median voter's framework: the case of the Brazilian municipalities

In this paper we estimated the demand for local public spending for the Brazilian municipalities within a median voter's framework. The rationale for applying that framework came from the fact that in federal systems voters’ preferences are more likely to be reflected at the local level as the consumers of public services have a better knowledge of the benefits and costs of the local public expenditures. Results obtained are consistent with the theoretical background thus suggesting that this hypothesis might be useful to describe the demand for local public goods in Brazil. In particular, the use of quantile regression permitted us to investigate the impacts of the conditioning variables on local public expenses across different expenditures classes thus allowing for heterogeneity across municipalities. Our results also suggest that the impact of the city size on the quality of club goods shows crowding effects as γ is between zero and one. However, in the estimated models, marginal congestion slightly decreases with expenditure. This is a rather surprising result as one is tempted to conclude that the congestion effect should be higher on big cities. Yet, a more careful look shows the drawbacks of such an interpretation. The indivisibilities preclude the provision of certain services in small towns, concentrating their provision on larger cities. Hence, the higher expenditures of those big cities reflect not only a crowding cost but also the fact that these towns offer a wide range of services when compared to the small ones.     

Using Choice Experiments to Value the Environment

This paper we outline the “choice experiment” approach to environmental valuation. This approach has its roots in Lancaster's characteristics theory of value, in random utility theory and in experimental design. We show how marginal values for the attributes of environmental assets, such as forests and rivers, can be estimated from pair-wise choices, as well as the value of the environmental asset as a whole. These choice pairs are designed so as to allow efficient statistical estimation of the underlying utility function, and to minimise required sample size. Choice experiments have important advantages over other environmental valuation methods, such as contingent valuation and travel cost-type models, although many design issues remain unresolved. Applications to environmental issues have so far been relatively limited. We illustrate the use of choice experiments with reference to a recent UK study on public preferences for alternative forest landscapes. This study allows us to perform a convergent validity test on the choice experiment estimates of willingness to pay.     

Discrimination via Exclusion: An Experiment on Group Identity and Club Goods

We study using laboratory experiments the impact on cooperation of allowing individuals to invest in group‐specific, excludable public goods. We find that allowing different social groups to voluntarily contribute to such goods increases total contributions. However, a significant proportion of that contribution goes toward the group‐specific club good rather than the public good, even when the latter has higher financial returns to cooperation. We find significant evidence of in‐group biases, which are manifested by positive in‐group reciprocity. That is, club goods allow subjects to display their preferences for interaction with their in‐group members, as well as positive in‐group reciprocity.     

Public goods,voting, and growth

We study a parametric politico‐economic model of economic growth with productive public goods and public consumption goods. The provision of public goods is funded by a proportional tax. Agents are heterogeneous in their initial capital endowments, discount factors, and the relative weights of public consumption in overall private utility. They vote on the shares of public goods in gross domestic products (GDP). We propose a definition of voting equilibrium, prove the existence and provide a characterization of voting equilibria, and obtain a closed‐form solution for the voting outcomes. Also we introduce a “fictitious” representative agent and interpret the outcome of voting as a choice made by a central planner for his benefit. Finally, we undertake comparative static analysis of the shares of public goods in GDP and of the rate of balanced growth with respect to the discount factors and the preferences for public consumption. The results of this analysis suggest that the representative‐agent version of our model is capable of capturing the interaction between many voting heterogeneous agents only if the heterogeneity is one‐dimensional.     

Green monetary and fiscal policies: The role of consumer preferences

We establish a two-sector model to simulate the potential effects of green fiscal poli- cies and unconventional green monetary policy on the economy during a recovery or in case of a stimulus policy. We find that instruments such as a carbon tax, an implicit tax on brown loans, and a subsidy for the purchase of green goods are all beneficial to the green sector, in contrast to green quantitative easing. A carbon tax imposed directly on firms in the brown sector is the most effective tool to reduce pollution. More importantly, the marginal effects of green instruments on the economy depend on consumer preferences. Namely, the marginal effects are the most prominent when consumers start to purchase more green goods as an increasing part of their consumption basket. Furthermore, the effects of those green policies are more effective when the elasticity of substitution between green and brown goods increases. This finding suggests that raising consumers’ awareness and ability to consume green goods reinforce the effectiveness of public policies designed for low-carbon transition of the economy.     

Nonlinear Adjustment in Law of One Price Deviations and Physical Characteristics of Goods

At a level of individual goods, heterogeneity of marginal transaction costs, proxied by price-to-weight ratios and stowage factors, explains a large part of the variation in thresholds of no-adjustment and conditional half-lives of law of one price deviations. Prices of heavier (more voluminous) goods deviate further before becoming mean-reverting. Moreover, after becoming mean-reverting, prices of heavier goods converge more slowly. Together with measures of pricing power, market size, distance, and exchange rate volatility, these factors explain up to 43% of variation in no-adjustment threshold estimates across 52 goods in US–Canada post-Bretton Woods monthly CPI data and are robust in a broader five-country dataset. They open two avenues for the importance of marginal transaction costs in accounting for real exchange rate persistence: through (a) generating persistence in individual real exchange rate components, and (b) accentuating it by the aggregation of heterogeneous components ("aggregation bias" of Imbs et al., 2005a ).