Social network and private provision of public goods

Using a simple model with interdependent utilities, we study how social networks influence individual voluntary contributions to the provision of a public good. Departing from the standard model of public good provision, we assume that an agent’s utility has two terms: (a) ‘ego’-utility derived from the agent’s consumption of public and private goods, and (b) a social utility which is the sum of utility spillovers from other agents with whom the agent has social relationships. We establish conditions for the existence of a unique interior Nash equilibrium and describe the equilibrium in terms of network characteristics. We show that social network always has a positive effect on the provision of the public good. We also find that, in networks with “small world”-like modular structures, ‘bridging’ ties connecting distant parts of social network play an important role inducing an agent’s contribution to public good. Assumptions and results of the model are discussed in relation to the role of social capital in community-level development projects and to the effect of innovation networks on firms’ R&D investments.     

Rewards and the private provision of public goods on dynamic networks

We study an evolutionary model of a public good game with rewards played on a network. Giving rewards to contributors transforms the game but gives rise to a second-order dilemma. By allowing for coevolution of strategies and network structure, the evolutionary dynamics operate on both structure and strategy. Players learn with whom to interact and how to act and can overcome the second-order dilemma. More specifically, the network represents social distance which changes as players interact. Through the change in social distance, players learn with whom to interact, which we model using reinforcement dynamics. We find that, for certain parameter constellations, a social institution, prescribing prosocial behavior and thus solving the second-order dilemma, can emerge from a population of selfish players. Due to the dynamic structure of the network, the institution has an endogenous punishment mechanism ensuring that defectors will be excluded from the benefits of the institution and the public good will be supplied efficiently.     

Depreciation and intergenerational altruism in the private provision of public goods

The static model of the private provision of public goods is refuted by empirical and experimental evidence which shows that contributions are above the levels predicted by the theory. The model is reconsidered here in an intertemporal framework that allows the formation of a stock of public good over time and admits intergenerational altruism into preferences. Both of these factors affect the level of private provision. An intertemporal version of the Samuelson rule is derived and it is shown that, for some parameter values, the provision level determined by this is matched by private provision. For other parameter values, it is shown how a system of taxation can achieve the optimum.     

One-sided private provision of public goods with implicit Lindahl pricing

We consider a sequential game in which one player produces a public good and the other player can influence this decision by making an unconditional transfer. An efficient allocation requires the Lindahl property: the sum of the two (implicit) individual prices has to be equal to the resource cost of the public good. Under mild conditions this requires a personal price for the providing player that lies below half of the resource cost. These results can, for example, justify high marginal taxes on wages of secondary earners.     

Public provision of private child goods

This paper analyzes the public provision of private goods for children in a politico-economic model with endogenous fertility. The government provides every child with goods that can also be purchased by parents in private markets, and the level of provision is determined by majority rule. Households with many children benefit from the public provision more than those with fewer children; thus, a political conflict arises between them. The distribution of the number of children across households, which is a crucial factor for determining which group is politically dominant, is endogenously determined by households' fertility decision. The sequential interaction between fertility and political decisions might lead to multiple equilibria: equilibrium with high fertility and low-private/public-spending ratio and equilibrium with low fertility and high-private/public-spending ratio. Our model could explain the large differences in fertility and structure of child-related spending across countries.     

Toward ‘privatization’ of public sector output: decentralized contracting for public and private goods

Public sector goods and services can be produced in the private sector. The challenge is to provide incentives for allocative and technological efficiency. Either of two mechanisms is proposed to accomplish this. To ensure allocative efficiency, the proposed mechanisms require knowledge of the complete schedule of benefits. Alternatively, they can use information available on benefits in an efficient manner. Costs need not be known to authorities. Profit maximization leads to efficient private sector responses to cost changes over time. Either mechanism can be combined with the demand revealing process to circumvent the need for ex ante information on benefits.     

Private provision of discrete public goods

We investigate private provision of discrete public goods under refund and cost-sharing. If it is commonly believed that individuals may be warm-glow altruists and the group-size is a Poisson random variable, then the equilibrium distribution of collected contributions is uniquely determined. If composition uncertainty is very small and the expected group-size sufficiently large, the distribution of contributions can be described by concentrating in a symmetric mixed-strategy equilibrium. As the expected group-size increases, the probability a randomly selected player contributes and the associated expected number of contributions converge to the corresponding ones in the symmetric mixed-strategy equilibrium of the game with no uncertainty.     

The public and private provision of pure public goods and the distortionary effects of income taxation: a political economy approach

Abstract .  A pure public good is provided by the government and the voluntary contributions of two types of households. The government finances its contribution by means of income taxation. The latter has distortionary effects. A third type of household never makes contributions. We analyse the effects of changes in the income tax rate on (a) the provision of the public good, (b) the private contributions of the households, and (c) changes in the distribution of income and welfare between contributing and non-contributing households. We derive a simple and testable condition under which the lowering of the income tax entails a Pareto improvement.     

Country size and the voluntary provision of international public goods

Standard studies on voluntary contributions to an international public good treat national economies as if they were single agents. This masks the fact that nations are comprised of populations of citizens, whose collective benefits a national government takes account of when deciding on the amount of the contributions. This paper constructs a model which explicitly allows for the effect of population differences and explores their consequences. We can then present the so-called exploitation of the great by the small by Olson and Zeckhauser [Olson, M., Zeckhauser, R., 1966. An economic theory of alliances. Review of Economics and Statistics 48 (1966) 266–279] and explore how residents of larger countries fare relative to those in smaller countries. We also elaborate on the effects of changing populations and show that growing into a large country is not necessarily beneficial for the country's residents.     

Fixed versus variable supply in the public provision of goods

Using discriminatory price auctions with variable supply, we explore a situation in which a corruptible public employee is in charge of producing and allocating a finite number of goods among consumers with uniformly distributed valuations. The negative effects of corruption are lower when the employee‘s task is to “provide at least q₀ goods” than when the employee is required to “provide exactly q₀ goods”.     

Distribution of tastes and skills and the provision of local public goods

This paper introduces into the Tiebout model individuals with different skills. It is shown that the production techniques, the distribution of tastes and skills and intercommunity trade will affect the pattern of communities. In the suggested model competition with local public goods is Pareto optimal: communities will not be composed of identical people. The optimal solution requires that every community will tax everybody according to his marginal social cost. A Pareto efficient redistribution policy can be carried out only by a central government using lump-sum taxes. A federal income tax will affect community patterns and therefore is inefficient.     

Local public goods, inter-regional transfers and private information

Suppose that the centre wishes to make transfers between member states of a federation to reduce inequality. However, it lacks precise information concerning the cost differences that are responsible for the initial income inequality. We examine the implications of asymmetric information for the design of the transfer scheme. We show that if member states’ inherent cost levels as local public good providers take discrete values, the first best, or ‘complete information’, transfer scheme may or may not violate incentive compatibility. If inherent cost is a continuous random variable, such a scheme certainly violates incentive compatibility. We also explore the possibility of binding participation constraints. In our model, a binding incentive compatibility constraint leads to a reduction in effort devoted to cost reduction, and a binding participation constraint will also lead to a violation of Samuelson's optimality condition for public good provision.     

Religious identity and the provision of public goods: Evidence from the Indian Princely States

This paper describes a simple model of how a ruler’s religious identity affects public goods provision. Our primary insight is that rulers reduce public goods expenditures to a greater degree when there are privately-provided substitutes excludable by religion.The basic idea is that if the good is provided privately to the ruler’s co-religionists, the ruler faces weaker incentives to provide this public good because his co-religionists receive lower marginal utility from its provision. Testing such a conjecture is an empirical challenge, however, since the religious identity of rulers rarely varies over time and place. We address this problem by exploiting variation in the religion of rulers in the Indian Princely States. Using data from the 1911 and 1931 Indian censuses, we find that Muslim-ruled states had lower Hindu literacy but had no significant impact on Muslim literacy. This result is consistent with our model, as Muslim religious schools provided a substitute for public schools that served both Hindus and Muslims. The model is further substantiated by the fact that the religion of the ruler had no statistically significant impact on railroad ownership or post office provision, neither of which had privately-provided substitutes.     

Credible assignments can improve efficiency in laboratory public goods games

This paper reports an experiment investigating how assignments improve economic efficiency in a modified version of the standard voluntary-contributions mechanism. The experiment uses a non-binding message that makes common information assignments in the repeated game. A credible assignment is one actually followed by the participants. It turns out to be difficult to credibly assign the symmetric efficient outcome in four person cohorts, but we did discover one assignment that was credible in the last match of the evolutionary repeated game.     

A note on optimal income taxation,public goods provision and robust mechanism design

This paper extends the model of optimal income taxation due to Mirrlees (Mirrlees, J., 1971. An exploration in the theory of optimum income taxation. Review of Economic Studies 38, 175–208) and includes private information on public goods preferences. A mechanism design approach is used to establish the following result: If policies are required to be robustly implementable in the sense of Bergemann and Morris (Bergemann, D., Morris, S., 2005. Robust mechanism design. Econometrica 73, 1771–1813), then the optimality conditions in the extended model with uncertainty about tax and expenditure policies are the same as in the standard model of optimal income taxation. The paper provides a foundation for a widely-used assumption in public finance, namely that individuals optimize their behavior subject to a predetermined and commonly known tax system.     

Recognizing contributors: an experiment on public goods

We experimentally investigate the impact of recognizing contributors on public good contributions. We vary recognizing all, highest or lowest contributors. Consistent with previous studies, recognizing all contributors significantly increases contributions relative to the baseline. Recognizing only the highest contributors does not increase contributions compared to not recognizing contributors, while recognizing only the lowest contributors is as effective as recognizing all contributors. These findings support our conjecture that aversion from shame is a more powerful motivator for giving than anticipation of prestige.     

Existence of an equilibrium with arbitrary tax schemes for financing local public goods

The existence of a public competitive equilibrium for any arbitrary (nondistortive) tax schemes (in particular, proportional taxes) for economies with local public goods, is proved. Allowing preferences to be both nontransitive and noncomplete enables an explicit introduction of the government as an (additional) agent in the economy. Moreover, we allow for “spillovers” of the public goods among localities, and for the production sets to depend on the amount of public goods produced in the economy. The only restriction on the tax system is that every individual is able to afford it and that the government's budget never runs a surplus. Since every equilibrium allocation is a Pareto optimum, every tax scheme is optimal (in the sense that its equilibrium allocation is a Pareto optimum).     

Decentralization of Pareto optima in economies with public projects,nonessential private goods and convex costs

Summary In the theory of economies with public goods one usually considers the case in which private goods are essential, i.e., each agent receives a fixed minimum level of utility if he consumes no private goods, irrespective of the public goods consumed. This paper develops the second welfare theorem for economies with public projects and possibly inessential private goods. As a corollary we also derive conditions under which valuation equilibria exist.hank Dolf Talman and an anonymous referee for many useful remarks and annotations of a previous draft of this paper.     

Voluntary formation of communities for the provision of public projects

In this paper we examine a group formation problem, where heterogeneous individuals partitioned themselves into communities, each choosing its own public project from the given space of feasible projects. The model is that of “horizontal product differentiation” where individuals display distinct preferences over the policy space. We consider the notion of “efficient” configuration that minimizes the total project-related costs and aggregate personalized costs of all individuals, and “sustainable” configurations, those are immune against breakaways by subgroups of individuals. Our main result is that, with a unidimensional project space and single-peaked personalized costs, every efficient partition is sustainable.