Pareto optimal chains of reinsurance

Extending Arrow (1963), we show that coinsurance is the optimal insurance scheme if all companies belonging to a chain of reinsurance are risk averse. The extent to which Borch's (1960) theorem and corollary are still valid in this context is investigated.     

A near Pareto optimal auction with budget constraints

In a setup where a divisible good is to be allocated to a set of bidders with budget constraints, we introduce a mechanism in the spirit of the Vickrey auction. In the mechanism we propose, understating budgets or values is weakly dominated. Since the revenue is increasing in budgets and values, all kinds of equilibrium deviations from true valuations turn out to be beneficial to the auctioneer. We also show that ex-post Nash equilibrium of our mechanism is near Pareto optimal in the sense that all full winners? values are above all full losers? values.     

The fiscal sociology of Gino Borgatta: Pareto, extra-economic redistribution and economic growth

The purpose of this study is to establish the extent to whichBorgatta's early fiscal sociology is consistent with, and differentfrom, Vilfredo Pareto's critical views on fiscal theory. Particularemphasis is given to the treatment of the relationship between‘extra-economic’ redistribution, achieved throughfiscal measures, and economic growth. Since evidence of Pareto'sinfluence is much weaker in Borgatta's more mature studies,the ‘definitive’ Paretian fiscal sociology thatemerged in his early ‘Lo Studio Scientifico dei FenomeniFinanziari’ is investigated for possible indications ofwhy Borgatta did not subsequently develop fiscal studies furtheralong Paretian lines.     

Supporting weakly Pareto optimal allocations in infinite dimensional nonconvex economies

In this paper, we prove a new version of the Second Welfare Theorem for economies with a finite number of agents and an infinite number of commodities, when the preference correspondences are not convex-valued and/or when the total production set is not convex. For this kind of nonconvex economies, a recent result, obtained by one of the authors, introduces conditions which, when applied to the convex case, give for Banach commodity spaces the well-known result of decentralization by continuous prices of Pareto-optimal allocations under an interiority condition. In this paper, in order to prove a different version of the Second Welfare Theorem, we reinforce the conditions on the commodity space, assumed here to be a Banach lattice, and introduce a nonconvex version of the properness assumptions on preferences and the total production set. Applied to the convex case, our result becomes the usual Second Welfare Theorem when properness assumptions replace the interiority condition. The proof uses a Hahn-Banach Theorem generalization by Borwein and Jofré (in Joper Res Appl Math 48:169–180, 1997) which allows to separate nonconvex sets in general Banach spacesThis work was partially supported by Nucleo Complex Engineering System. The successive versions of the paper were partly prepared during visits of Alejandro Jofré to CERMSEM and of Monique Florenzano and Pascal Gourdel to the Centro de Modelamiento Matematico. The hospitality of both institutions and the support of the french Coopération régionale Cone Sud are gratefully aknowledged. The authors thank Ali Khan for stimulating exchange of ideas and literature, Roko Aliprantis, Jean-Marc Bonnisseau, Alain Chateauneuf, Roger Guesnerie, Filipe Martins Da Rocha, Moncef Meddeb, B. Mordukovich, Lionel Thibault and Rabee Tourky for valuable discussions     

Worst-case optimal redistribution of VCG payments in multi-unit auctions

For allocation problems with one or more items, the well-known Vickrey–Clarke–Groves (VCG) mechanism (aka Clarke mechanism, Generalized Vickrey Auction) is efficient, strategy-proof, individually rational, and does not incur a deficit. However, it is not (strongly) budget balanced: generally, the agents' payments will sum to more than 0. We study mechanisms that redistribute some of the VCG payments back to the agents, while maintaining the desirable properties of the VCG mechanism. Our objective is to come as close to budget balance as possible in the worst case. For auctions with multiple indistinguishable units in which marginal values are nonincreasing, we derive a mechanism that is optimal in this sense. We also derive an optimal mechanism for the case where we drop the non-deficit requirement. Finally, we show that if marginal values are not required to be nonincreasing, then the original VCG mechanism is worst-case optimal.     

The limitations of decentralized world redistribution: An optimal taxation approach

A centralized scheme of world redistribution that maximizes a border-neutral social welfare function, subject to the disincentive effects it would create, generates a drastic reduction in world consumption inequality, dropping the Gini coefficient from 0.69 to 0.25. In contrast, an optimal decentralized (i.e., with no cross-country transfers) redistribution has a miniscule effect on world income inequality. Thus, the traditional public finance concern about the excess burden of redistribution cannot explain why there is so little world redistribution.Actual foreign aid is vastly lower than the transfers under the simulated world income tax, suggesting that voluntary world transfers - subject to a free-rider problem - produces an outcome that is consistent with rich countries such as the United States either placing a much lower value on the welfare of foreigners, or else expecting that a very significant fraction of cross-border transfers is wasted. The product of the welfare weight and one minus the share of transfers that are wasted constitutes the implicit weight that the United States assigns to foreigners. We calculate that value to be as low as 1/2000 of the value put on the welfare of an American, suggesting that U.S. policy is consistent with social preferences that place essentially no value on the welfare of the citizens of the poorest countries, or that implicitly assumes that essentially all transfers are wasted.     

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.     

Pareto optimal improvements for sunspots: The golden rule as a target for stabilization

Summary The stationary sunspot equilibria of a simple one good OLG economy are considered. These equilibria are known to be suboptimal. We show that, for any such equilibrium allocation, there always exists a Pareto optimal improvement which has the additional property of reaching the Golden Rule in finite time, i.e., the monetary steady state acts as a target. We also show that, in general, periodic allocations cannot be used as targets. The result is interpreted as a welfare theoretical justification for stabilization policy.This paper is based on my dissertation at SUNY Stony Brook. I would like to thank my supervisor, T. J. Muench, for his advice and encouragement. O. Galor's comments on a previous draft, and discussions with M. Kurz, J. Peck, H. M. Polemarchakis, B. Smith, and I. Zilcha, are gratefully acknowledged. Comments from F. Marhuenda, two referees and, especially, the Co-Editor, M. Woodford, did much to improve the exposition. Thanks are due to the Lady Davis Foundation for supporting my stay at the Hebrew University, and the IVIE and DGICYT PB92-0342 at Alicante, where successive drafts were prepared.     

Taxation of uncertain business profits,private risk markets and optimal allocation of risk

In this paper we explore what happens if the government bears some of the risk through a profit tax when the risk sharing in the venture capital market is incomplete due to non-observability of effort and moral hazard. If the external equity investors can enforce exclusive contracts with the entrepreneurs, the risk relief through a profit tax will lead to too much insurance and too low effort as compared with a second best optimal solution. Bond and Devereux [Bond, S.R. and Devereux, M.P. (1995). On the design of a neutral business tax under uncertainty. Journal of Public economics, 58, 57–71.] show that a proportional profit tax would be neutral in the absence of moral hazard. In the presence of moral hazard we demonstrate that the tax may affect the risk shifting through the market, in which case the premise for the neutrality result will no longer hold.     

Endogenous participation in charity auctions

Data from a recent field experiment suggests that differences in participation rates are responsible for much of the variations in charity auction revenues across formats. We provide a theoretical framework for the analysis of this and other related results. The model illustrates the limits of previous results that assume full participation and introduces some new considerations to the choice of auction mechanism. It also implies, however, that the data cannot be explained in terms of participation costs alone: there must exist mechanism-specific obstacles to participation.     

论我国的慈善供给

慈善供给的增加,在经济上具有消费效应、分配效应和发展效应.慈善作为一种商品,其供给具有效用或利润最大化的经济动因.我国现阶段的慈善供给不足关键在于慈善的消费偏好缺失、供给成本过高和激励机制缺陷,要实现慈善供给增加,就必须转变慈善观念、畅通慈善通道和完善制度安排.     

Pareto and contemporary economic theory

This paper provides explanations for Pareto’s apparently contradictory approach to demand theory in simultaneously insisting that measurability of utility is not needed to explain the equilibrium of consumers in competitive markets, and embracing concavifiability and thus measurability of utility when this implies restrictions on consumers’ behavior such as the law of demand. It also treats his method of calibrating an aggregate demand function by employing his law of income distribution, so as to reproduce “Gregory King’s law”. Finally, some disputed issues are dealt with concerning the nature of Pareto’s contributions to welfare economics. (JEL: B13, D11, D60).     

Self-selection and Pareto efficient taxation

This paper analyses the set of Pareto efficient tax structures. The formulation of the problem as one of self-selection not only shows more clearly the similarity between this problem and a number of other problems (such as the optimal pricing of a monopolist) which have recently been the subject of extensive research, but also allows the derivation of a number of new results. We establish (i) under fairly weak conditions, randomization of tax structures is desirable; (ii) if different individuals are not perfect substitutes for one another in production, then the general equilibrium effects—until now largely ignored in the literature—of changes in the tax structure may be dominant in determining the optimal tax structure; in particular if the relative wage of high ability and low ability individuals depends on the relative supplies of labor, the optimal tax structure entails a negative marginal tax rate on the high ability individuals, and a positive marginal tax rate on the low ability individuals (the marnitude of which depends on the elasticity of substitution); (iii) if individuals differ in their preferences, Pareto efficient taxation may entail negative marginal tax rates for high incomes; while (iv) if wage income is stochastic, the marginal tax rate at the upper end may be 100%.Our analysis thus makes clear that the main qualitative properties of the optimal tax structure to which earlier studies called attention are not robust to these attempts to make the theory more realistic.     

Serial dictatorship and Pareto optimality

In a deterministic allocation problem in which each agent is entitled to receive exactly one object, an allocation is Pareto optimal if and only if it is the outcome of a serial dictatorship. We extend the definition of serial dictatorship to settings in which some agents may be entitled to receive more than one object, and study the efficiency and uniqueness properties of the equilibrium allocations. We prove that subgame perfect equilibrium allocations of serial dictatorship games are not necessarily Pareto optimal; and generally not all Pareto optima can be implemented as subgame perfect equilibrium allocations of serial dictatorship games, except in the 2-agent separable preference case. Moreover, serial dictatorship games do not necessarily have unique subgame perfect equilibrium allocations, except in the 2-agent case, hence their outcomes are indeterminate and manipulable.     

Manipulation and the Pareto rule

This paper examines rules that map preference profiles into choice sets. There are no agendas other than the entire set of alternatives. A rule is said to be “manipulable” if there is a person i, and a preference profile, such that i prefers the choice set obtained when he is dishonest to the one obtained when he is honest. It is “nonmanipulable” if this can never happen. The paper indicates how preferences over choice sets might be sensibly derived from preferences over alternatives, and discusses seven different notions of manipulability associated with seven different assumptions about preferences over sets of alternatives. The paper has two sections of results. In the first I show that the Pareto rule, that is, the rule that maps preference profiles into corresponding sets of Pareto optima, is nonmanipulable in four of the seven senses of manipulability, and manipulable in three of them. In the second section, I examine this conjecture: If an arbitrary rule is nonmanipulable and nonimposed, and if indifference is disallowed, then every choice set must be contained in the set of Pareto optima. The conjecture is true under the strongest definition of nonmanipulability.     

Efficient migration and redistribution

It has often been noted that the brain drain may be abetted by highly progressive tax systems in the regions which are likely sources for emigration by those with the most income-earning potential. This paper presents the case in favour of such policies. The underlying assumption here is that there are productivity differences between regions, and that emigration of the most skilled workers from less productive regions increases the overall value of national output. The problem lies in sharing these gains with the less-skilled workers left behind in the low-productivity region. If national governments can transfer income among regions, but if the transfers cannot be targeted to particular individuals, then there is a trade-off between equity and efficiency. Generous transfers redistribute the gains, but tend to impede efficient migration, since prospective migrants will only emigrate if their earnings, net of all fiscal transfers, and net of migration costs, are higher in the destination region. Greater tax progressivity in the source region helps relax a constraint, and make the trade-off less difficult.     

Faith-based charity and crowd-out during the great depression

Interest in religious organizations as providers of social services has increased dramatically in recent years. Churches in the U.S. were a crucial provider of social services through the early part of the twentieth century, but their role shrank dramatically with the expansion in government spending under the New Deal. In this paper, we investigate the extent to which the New Deal crowded-out church charitable spending in the 1930s. We do so using a new nationwide data set of charitable spending for six large Christian denominations, matched to data on local New Deal spending. We instrument for New Deal spending using measures of the political strength of a state's congressional delegation, and confirm our findings using a different instrument based on institutional constraints on state relief spending. With both instruments we find that higher government spending leads to lower church charitable activity. Crowd-out was small as a share of total New Deal spending (3%), but large as a share of church spending: our estimates suggest that benevolent church spending fell by 30% in response to the New Deal, and that government relief spending can explain virtually all of the decline in charitable church activity observed between 1933 and 1939.