Consumer mobility and community tax bases : The financing of local public goods

In a model of economic ‘clubs’, size is fixed and members consuming a public good raise the question of composition; with whom would they rather consume? This depends on the way collective consumption is financed, and three results are proven With a poll tax, clubs must be homogeneous in income for all to be satisfied With a marginal benefit (Lindahl) tax, no consumer is ever satisfied with any composition; and with an income tax, at least one consumer in each club is always dissatisfied. Satisfaction implies there exists no club composition preferred to the existing one.     

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).     

Land rents,optimal taxation and local fiscal independence in an economy with local public goods

A general equilibrium model of an economy with cities, farms and free migration of population is constructed. The cities produce internationally traded goods via production functions subject to economies of scale. They also produce housing and a local public good. Two areas are defined to be disjoint if households performing an economic activity in one area are not operating in the other. An area is exclusive if it is disjoint to its complement. The economic surplus of an area is then defined to be the value of the area's net export of goods and resources. Local efficiency of an area is defined to be a state in which its economic surplus attains its maximum value. This state is proved to be a necessary condition for Pareto optimality of the economy. It is then proved that beside Piguvian corrective taxes the only taxes necessary and sufficient to finance local government activities efficiently, are taxes on land rents. Furthermore, if jurisdiction of a local government is over an exclusive area no intervention of central government is necessary, and local authorities can be fully autonomous. If the economy can be divided into pairwise disjointed exclusive areas, those areas are optimal jurisdictions in the sense that efficiency in the economy can be achieved with local authorities only.     

Centralized versus decentralized provision of local public goods: a political economy approach

This paper takes a fresh look at the trade-off between centralized and decentralized provision of local public goods. It argues that the sharing of the costs of local public spending in a centralized system will create a conflict of interest between citizens in different jurisdictions. When spending decisions are made by a legislature of locally elected representatives, this conflict of interest will play out in the legislature. Depending on precisely how the legislature behaves, the result may be excessive public spending or allocations of public goods characterized by uncertainty and misallocation across districts. The extent of the conflict of interest between districts is affected by spillovers and differences in tastes for public spending. Thus, the relative performance of centralized and decentralized systems depends upon spillovers and differences in tastes for public spending, but for different reasons than suggested in the existing literature.     

Strategic nonlinear income tax competition with perfect labor mobility

Tax competition between two governments who choose nonlinear income tax schedules to maximize the average utility of their residents when skills are unobservable and labor is perfectly mobile is examined. We show that there are no equilibria in which there is a skill type that pays positive taxes to one country and whose utility is larger than the average utility in the other country or in which the lowest skilled are subsidized. We also show that it is possible for the most highly skilled to receive a net transfer funded by taxes on lower skilled individuals in equilibrium. These findings confirm the race-to-the-bottom thesis in this setting.     

Proportional income taxes and cores in a public goods economy

An equivalence relationship between cores and Pareto optimal allocations of a public goods economy where the public goods are to be provided through a proportional income tax is presented. For this purpose, the definition of the core is modified by allowing coalitions to tax their complements at any given rate. Also, a certain rule which specifies the rate is introduced.     

Tiebout equilibria in local public good economies with spillovers

This paper analyzes the effects of spillovers on the equilibrium population distribution across jurisdictions in a local public good economy with free mobility. Spillovers are parametrized by a matrix [α_ij] where α_ij ∈ [0, 1]. When spillovers are symmetric and close to 0 or 1 (pure local public goods and pure public goods), all equilibrium jurisdiction structures are symmetric. However, any population distribution can be sustained in equilibrium for some value of the spillover parameter α. In the class of utility functions with additive externalities, we identify the unique family of utility functions for which equilibria are symmetric except for an isolated value of α. This is a class of utility functions which are linear in the public good and a power function of the private good, u(c, γ) = − A(1 − c)^β + γ. With this specification of utility, we show that an increase in α results in a more fragmented equilibrium population distribution, and that when spillovers are asymmetric and large, a jurisdiction which is more centrally located (i.e. benefits more from the public goods provided in other jurisdictions) has a larger population in equilibrium.     

The ratio equilibrium and a voting game in a public goods economy

An economic model of the allocation process with public goods is presented. We define a concept of equilibrium and prove the existence. Next we present a voting game in which a level of the public goods to be produced is decided. We prove that the core of the voting game and the equilibria exist simultaneously, and that they coincide.     

Local public goods with mobility: Existence and optimality of a general equilibrium

The existence and optimality of a general equilibrium in a model with a finite number of locations among which the continuum of individuals (each individual belonging to one of a finite number of types) have to choose is investigated. Each community finances its own production of public goods by taxes. The way in which the tax burden in shared among the different types in the different regions is left arbitrary. The model allows for: restrictions on the mobility of either residents and/or workers, congestion and externalities in both production and consumption, commuting costs, preferences of an individual may also depend on his location as well as on the distribution of all individuals across locations.     

Multiple equilibria and global indeterminacy in an endogenous growth model with congestible public goods

This paper extends the findings in Chen and Lee (2007) to show that the use of congestible public goods can produce both local and global indeterminacy in a two‐sector endogenous growth model with productive public services financed by income taxation. Basically, we observe the effects on growth rates by changing parameters, and compare the case of a single steady‐state with the emergence of dual steady‐states, identifying the feasible ways to avoid a possible low‐growth poverty trap. The novelty of our analysis is to detect the presence of global indeterminacy by making use of the Bogdanov‐Takens bifurcation theorem. Some examples are also provided to achieve concrete policy implications.     

A reconciliation between equity and efficiency in public goods economy

Journal of Economics -     

Migration with local public goods and the gains from changing places

Without public goods and under fairly standard assumptions, in Hammond and Sempere (J Pub Econ Theory, 8: 145–170, 2006) we show that freeing migration enhances the potential Pareto gains from free trade. Here, we present a generalization allowing local public goods subject to congestion. Unlike the standard literature on fiscal externalities, our result relies on fixing both local public goods and congestion levels at their status quo values. This allows constrained efficient and potentially Pareto improving population exchanges regulated only through appropriate residence charges, which can be regarded as Pigouvian congestion taxes.     

Markov perfect equilibria in industries with complementarities

Summary.   This paper considers the existence and computation of Markov perfect equilibria in games with a “monotone” structure. Specifically, it provides a constructive proof of the existence of Markov perfect equilibria for a class of games in which a) there is a continuum of players, b) each player has the same per period payoff function and c) these per period payoff functions are supermodular in the player's current and past action and have increasing differences in the player's current action and the entire distribution of actions chosen by other players. The Markov perfect equilibria that are analyzed are symmetric, not in the sense that each player adopts the same action in any period, but rather in the sense that each player uses the same policy function. Since agents are typically distributed across many states they will typically take different actions. The formal environment considered has particular application to models of industries (or economies) in which firms face costs of price adjustment. It is in this context that the results are developed. Received: November 9, 1999; revised version: February 10, 2000     

A graphic representation of the Nash and Lindahl equilibria in an economy with a public good

In an economy with a public good the noncooperative Nash equilibrium and the cooperative Lindahl equilibrium are represented graphically. The Nash equilibrium is shown to be non-optimal, while the Lindahl equilibrium is shown to be optimal. Simple stability analyses are undertaken. Finally, the two equilibria are compared. It appears that more public good will be allocated in the Lindahl than in the Nash equilibrium, and that in a sufficiently large economy a transition from a Nash to a Lindahl equilibrium will be advantageous for everyone.     

Optimal tax treatment of private contributions for public goods with and without warm glow preferences

Tax-favored contributions for financing some public goods may be a useful part of optimal nonlinear income tax and expenditure policy. There are two sides to the potential gain from subsidized donations. First, for a given level of public good provision, higher private donations from high earners than low earners eases the incentive compatibility constraint for donors and so can raise social welfare. This follows since considering a lower-paid job includes a perception of a drop in public good provision. Second, private donation reduces consumption, easing the resource constraint. This paper explores optimal policy, using first a model with standard preferences and then a model with a warm glow of giving. In addition to showing the conditions for the level of public goods, the paper considers the pattern of optimal subsidization across earnings levels. Analysis of optimal taxation with warm glow preferences is sensitive to the choice of preferences that are relevant for a social welfare evaluation. After considering optimal rules with formulations of social welfare which do and do not include warm glow utility, the paper considers the choice of normative criterion. Like the earlier literature, this paper assumes that organizing private donations is costless while tax collection has a deadweight burden. Since private charitable fundraising is very far from costless, the paper is an exploration of economic mechanisms, not a direct guide to policy.     

Markov perfect Nash equilibria in models with a single capital stock

Many economic problems can be formulated as dynamic games in which strategically interacting agents choose actions that determine the current and future levels of a single capital stock. We study necessary as well as sufficient conditions that allow us to characterise Markov perfect Nash equilibria for these games. These conditions can be translated into an auxiliary system of ordinary differential equations that helps us to explore stability, continuity and differentiability of these equilibria. The techniques are used to derive detailed properties of Markov perfect Nash equilibria for several games including voluntary investment in a public capital stock, the inter-temporal consumption of a reproductive asset and the pollution of a shallow lake.