Simple sequencing problems with interdependent costs

In this paper we analyze simple sequencing problems under incomplete information and interdependent costs. We prove the necessity of concave cost function for implementability of such problems. Implementability means that one can achieve aggregate cost minimization in ex-post equilibrium. We also show that simple sequencing problems are implementable if and only if the mechanism is a ‘generalized VCG mechanism.’ We then consider first best implementability, that is implementability with budget balancing transfer. We prove that for implementable n agent simple sequencing problems, with polynomial cost function of order (n−2) or less, one can achieve first best implementability. Finally, for the class of implementable simple sequencing problems with “sufficiently well behaved” cost function, this is the only first best class.     

Weak monotonicity and Bayes–Nash incentive compatibility

An allocation rule is called Bayes–Nash incentive compatible, if there exists a payment rule, such that truthful reports of agents' types form a Bayes–Nash equilibrium in the direct revelation mechanism consisting of the allocation rule and the payment rule. This paper provides a characterization of Bayes–Nash incentive compatible allocation rules in social choice settings where agents have multi-dimensional types, quasi-linear utility functions and interdependent valuations. The characterization is derived by constructing complete directed graphs on agents' type spaces with cost of manipulation as lengths of edges. Weak monotonicity of the allocation rule corresponds to the condition that all 2-cycles in these graphs have non-negative length. For the case that type spaces are convex and the valuation for each outcome is a linear function in the agent's type, we show that weak monotonicity of the allocation rule together with an integrability condition is a necessary and sufficient condition for Bayes–Nash incentive compatibility.     

Increasing returns and the share economy

Under imperfect competition, profit maximization by firms results in the market price exceeding the marginal cost of production; Weitzman terms this “excess supply” Weitzman wishes to replicate in the cost function (in terms of labor) the properties of the revenue function (in terms of output), thus generating “excess demand” for labor. A revenue-sharing scheme will achieve this if and only if there are decreasing returns to scale. Hence increasing returns apparently play no role in Weitzman's analysis.     

Can the share economy cure our macroeconomic woes? Probably not

This paper introduces the major ideas in Martin Weitzman's The Share Economy. It notes that a “share” economy is one in which the marginal cost of labor is less than the average cost of labor; moreover, this condition can be induced by sharing revenues or profits. According to share theory, such contracts will lead firms to create more vacancies and thereby lower the average unemployment rate. Weitzman proposes to induce more share arrangements by giving a tax preference to share-type income.     

Shephard's lemma and rate of return regulation

By counter example this paper shows that in general, Shephard's lemma cannot be used for the usual formulation of the rate of return regulated cost function. A solution to the problem is supplied.     

An application of dynamic specifications of factor demand equations to interfuel substitution in US industrial energy demand

In a recent paper, Jones (1995) [A dynamic analysis of the interfuel substitution in US industrial energy demand. J. Bus. Econ. Stat. 13 (4), 459–465] presents a dynamic analysis of interfuel substitution in US industry energy demand. The author concludes that a dynamic linear logit model is ‘superior' to a comparable dynamic translog model. The latter in fact violates concavity conditions whilst the logit formulation does not. This paper shows first of all that the dynamic formulation of the translog used in Jones (1995) is mis-specified. In fact, a parsimonious error-correction model (ECM) ‘dominates' alternative dynamic formulations, amongst which the partial adjustment mechanism used by the author. The ECM is able to generate optimal estimates of long-run and short-run elasticities, and it satisfies the concavity conditions of the cost function. Further, the theoretical framework used in this paper is the one recently proposed by Urga (1996) [On the identification problem in testing dynamic specification of factor demand equations. Econ. Lett. 52, 205–210] and Allen and Urga (1998) [Derivation and estimation of interrelated factor demands from dynamic cost function. Forthcoming in Economica]. It allows one to identify all coefficients (long-run and short-run) of the dynamic formulation via the joint estimation of the ‘effective' (short-run) cost function and the set of factor demand equations. This strategy solves, amongst other things, the parameter identification problem within the set of demand equations themselves, an issue which was originally noted by Anderson and Blundell (1982) [Estimation and hypothesis testing in dynamic singular equation systems. Econometrica, 1559–1571], re-addressed by Friesen (1992) [Testing dynamic specification of factor demand equations for US manufacturing. Rev. Econ. Stat. LXXIV (2), 240–250] and, more recently, by Urga (1996) and Allen and Urga (1998).     

Characterization of additive cost sharing methods

The set of additive cost sharing methods when individual demands are integer valued and cost shares are non negative is characterized by its extreme points and by a network flow representation. The extreme methods allocate costs incrementally along a chain of demand vectors independent of the cost function. The result generalizes Wang’s characterization in that we do not assume the Dummy axiom.     

Private good clubs and the core

The incentive for potential club members to form private good clubs is an average cost function that is decreasing over at least part of its range. Benefits to club members are measured by consumer's surplus, and a game theoretic characteristic function is used to describe total club benefits. Then, in the game framework, the optimum club size is examined and related to the existence of the core, which in turn is shown to be crucially dependent on the demand and cost curves.     

The social cost of living index

Household cost of living indexes reflect household preferences; analogous indexes for groups of households require a corresponding concept of group preferences. In this paper I investigate the ‘social cost of living index’, a group index based on the Bergson-Samuelson social welfare function. I first define the index and examine its properties under the assumption that the investigator constructing it expresses his distributional judgments in an explicit Bergson- Samuelson social welfare function; I then examine the ‘maximizing society’ and the ‘independent society’, two cases in which the index can be constructed from the information contained in the market demand functions. In these two cases a Laspeyres index (i.e. the fixed weight index based on the reference consumption pattern) is an upper bound on the exact social cost of living index. In general, however, the assumptions required to place bounds on the social cost of living index are much more likely to be satisfied than those required to place analogous bounds on a household's cost of living index.     

On fair allocations

This paper examines the effects of fairness on economic behavior and allocations, where fairness is defined as the absence of envy among consumers. We use the benefit function to investigate the welfare cost of fairness. We show how fairness generates a form of altruism, captured by a “fair expenditure” function that depends on the distribution of welfare. We define the most efficient fair allocations and explore the implications of fairness for economic behavior, pricing and redistribution policies.     

Choice of the empirical definition of zero in the translog multiproduct cost functional form

The translog cost function is valuable to researchers for empirical analysis in themodelling of indirect cost and profit functions. A flaw of the functional form is in themodelling of zero output values. This study examined the impacts of empirical definition of zero output values on price elasticities, economies of scope and scale, using the translog cost function. Estimation of a system of cost and factor share equations with regularity condition imposed was conducted. Results show that the choice of default values affects policy recommendations.     

A Non-homothetic Globally Concave Flexible Cost Function and its Application to Panel Data

A new non-homothetic globally concave flexible cost function is introduced and applied to a panel of firms in the Japanese paper and pulp industry. This cost function is a mixture of the generalized McFadden form and the generalized Ozaki form due to Nakamura (1990). A generalized index of technical change is used in place of the standard quadratic form of time-trend. The estimated cost function satisfied global concavity, and the symmetry condition of the Slutsky matrix was not rejected. Homotheticity was strongly rejected.
JEL Classification Numbers: C33, D24.     

Expectations,substitution, and scrapping in a putty-clay model

The paper presents a framework for analyzing the effect of changing expectations about future prices on a firm's choice of technique, and on its anticipated scrapping of capital equipment. Assuming a putty-clay technology, particular attention is paid to the way in which the scrapping age depends on the degree of ex ante input substitution. Numerical illustrations — based on data for Norwegian manufacturing for the years 1964–1983, an ex ante technology represented by a Generalized Leontief cost function in materials, energy, labor, and capital, and an ARMA representation of the price expectation mechanism — are presented. The results indicate that the price changes in this period may have had a substantial impact on planned scrapping, and on the chosen production techniques.     

论国有经济比重的内生决定

本文讨论了生产成本函数形状、企业生产目标函数的变化对于国有经济或国有企业在产业乃至整个经济中的比重的影响。本文贡献了一个关于社会福利极大化目标在企业产量决策中的权数θ与产量水平q的两阶段古诺—纳什博弈的混合寡头模型 ,分析了在等边际成本与线性的市场需求反函数条件下 ,国有企业目标函数的变化与私有企业进入对于国有经济相对地位的效应 ,论证了在上述条件下国有经济在国民经济中的比重不会趋于零。     

Nash consistent representation of effectivity functions through lottery models

Effectivity functions for finitely many players and alternatives are considered. It is shown that every monotonic and superadditive effectivity function can be augmented with equal chance lotteries to a finite lottery model—i.e., an effectivity function that preserves the original effectivity in terms of supports of lotteries—which has a Nash consistent representation. The latter means that there exists a finite game form which represents the lottery model and which has a Nash equilibrium for any profile of utility functions satisfying the minimal requirement of respecting first order stochastic dominance among lotteries. No additional condition on the original effectivity function is needed.     

A translog estimation of the average cost function of the steel industry with financial accounting data

This paper proposes a measure to assess firm performance which is based in neoclassical production theory and yet can be empirically estimated with widely available financial accounting ratios. A translog cost function is estimated, and fitted per-unit average cost figures are generated based upon the firm's individual characteristics and industry norms. The deviation of a firm's actual average per-unit cost from the fitted value is proposed as a predictor of firm profitability. This measure is then tested on firms in the steel industry. It is shown that the accounting ratios generate a cost function which behaves in accordance with neoclassical microeconomic theory, and accounting profits are indeed found to be inversely related to the calculated efficiency measure.The authors are indebted to the participants of the Forty-Fourth International Atlantic Economic Conference, Philadelphia, PA, October 9–12, 1997, and an anonymous referee. Any shortcomings remain the responsibilities of the authors.     

CHANGES IN DEMAND FUNCTION IN COURNOT OLIGOPOLY

Abstract.  The effects of change in the market (inverse) demand function are systematically analysed for Cournot oligopoly without product differentiation. The general comparative-static results are stated using the original data on firms' cost functions and inverse demand function. Three special models are examined in light of our results. The stability condition is shown to be insufficient for determinate comparative statics.     

Overcoming free riding in multi-party computations—The anonymous case

This paper addresses the question of multi-party computation in a model with asymmetric information. Each agent has a private value (secret), but in contrast to standard models, the agent incurs a cost when retrieving the secret. There is a social choice function the agents would like to compute and implement. All agents would like to perform a joint computation, which input is their vector of secrets. However, agents would like to free-ride on others' contribution.A mechanism which elicits players' secrets and performs the desired computation defines a game. A mechanism is ‘appropriate’ if it (weakly) implements the social choice function for all secret vectors. namely, if there exists an equilibrium in which it is able to elicit (sufficiently many) agents' secrets and perform the computation, for all possible secret vectors. We show that ‘appropriate’ mechanisms approach agents sequentially and that they have low communication complexity.     

Measurement of the in situ value of exhaustible resources: An input distance function

We develop a methodology to derive the shadow in situ price of nickel by utilizing an input distance function, which can improve upon previous estimates. Our estimates hold regardless of market power and actual cost minimization. The time path of the shadow in situ price is obtained using annual data for Inco, a nickel company. Empirical results suggest a slightly increasing in situ price of nickel over the period 1947–92, but the dynamic optimality condition does not hold. Comparison with the time path of the in situ price obtained by estimating a cost function indicates a sizable discrepancy between the two time trajectories.     

The cost and composition of Indian exports

India has a history of export promotion policies extending back into the 1950's. These policies seem to have been applied without regard to comparative advantage and this study indicates the high cost of India's disregard for economic efficiency. Using the domestic resource cost concept as the criterion for measuring relative export efficiency, the present structure of Indian exports is examined on both the sectoral and product level. The results show not only an unacceptably wide divergence in the domestic resource cost of exports on the margin - indicating a misallocation of resources in the export sector - but also an export incentive system which fails to select India's most efficient exports.