A COMPLETE CHARACTERIZATION OF THE INVERTED S‐SHAPED LABOR SUPPLY CURVE

Empirical evidence suggests that labor supply curves are downward sloping at low wage levels, i.e. ‘forward‐falling labor supply’. In contrast, the supply curve is only downward sloping at high wage levels in the canonical labor supply model, i.e. ‘backward‐bending’. This paper derives a labor supply curve with both forward‐falling and backward‐bending segments, or an ‘inverted S‐shape’ by incorporating two elements into a standard utility function: a subsistence level of consumption and a decreasing elasticity of substitution. It is also shown that the subsistence level of consumption plays a key role in determining the shape of the labor supply curve.     

On the Hoggard–Whalley–Wilmott Equation for the Pricing of Options with Transaction Costs

The Hoggard–Whalley–Wilmott equation is introduced to model portfolios of European type options incorporating transaction costs. The model gives rise to a nonlinear parabolic partial differential equation (PDE), whose nonlinearity reflects the presence of transaction costs. We show analytically the existence of solutions which are not necessarily convex nor concave. Numerical treatments are also given, which are devised to effectively handle an infinite domain and unbounded solutions.      

Finite-dimensional utilities

Summary. Sufficient axioms are identified for the existence of a finite- dimensional quasilinear utility function whose lexicographically ordered vectors preserve a decision maker's preference order on a mixture set . It is shown that those axioms are also necessary for the linear lexicographic representation when the underlying set is a mixture space. Received: August 20, 1998; revised version: December 14, 1998     

Micro-foundation for a constant elasticity of substitution production function through mechanization

We consider an increase in the range of capital use as a form of mechanization. A constant elasticity of substitution (CES) production function is dynamically derived from Leontief production functions through the endogenous complementary relationship between capital accumulation and mechanization. This implies that a CES production function can be resolved into technological change that does not involve changes in total factor productivity. Furthermore, using the normalizing procedure of the CES production function developed by de La Grandville [de La Grandville, O., 1989. In quest of the Slutsky diamond. American Economic Review 79, 468–481], we investigate how mechanization is related to the elasticity of substitution in our endogenous growth model.     

A flexible dynamic model of multiproduct technology for the West German economy

This paper tests symmetry and negativity of the Slutsky matrix for a system of demand functions derived from an aggregate model of multi product technology within a flexible dynamic framework. The model considers three inputs and three outputs, including imports and exports of intermediate goods. We derive a static demand model from a trans log cost function and specify the data generation process by a stationary ARX (1, 1) model. Results based on West German quarterly data indicate that the integrability conditions are not rejected when imposed on the ARX (1, 1) model, whereas they are rejected for all the less general dynamic models considered.     

Choosing Price or Quantity? The Role of Delegation and Network Externalities in a Mixed Duopoly

This paper considers a differentiated goods managerial mixed duopoly composed of one social welfare‐maximising public firm and one profit‐maximising private firm. We model the firm choice of the strategic contract. We find that when the strength of network effects is sufficiently strong, the price competition can become the unique equilibrium market structure. Furthermore, we show that there exists an area of the degree of product differentiation and the strength of network effects such that the situation wherein the public firm chooses its price contract whereas the private firm chooses its quantity contract can become the unique equilibrium structure.     

Two Types of Disagreement in Group Discussions of Japanese Undergraduates

In this study we investigated the nature of disagreement, which is a necessary component of a good discussion. We obtained 27 group discussion scenes by Japanese undergraduates that were evaluated by two ways: impression rating and ranking. As a result of factor analysis for the impression rating data, five factors were extracted: activeness, multidirection and unification of discussion, relationships of participants, development and sophistication of discussion, and sincerity of the participants, and each factor scores of each scene was simultaneously calculated. Each scene’s rank score was also calculated by relative comparisons. A significant positive correlation was found between the mean factor and the rank scores except for Factor 3 (relationships of participants). To consider the reason for the difference relating to Factor 3’s score, we scrutinized the discussion process of four scenes of the different patterns of the factor and rank scores. From the analysis of conversations, we suggested that this difference reflected ways of disagreement. By introducing a probative discourse tags for discussion (pDTD), we reasoned that the frequency of disagreement made Factor 3’s score negative and the absence of the second part of adjacency pairs made the rank score worse. The explicit speech and actions of blame such as emotional and aggressive expression, and neglect of treatment for the minor opinion made also the discussion unfair, but we think that these behaviors might erupt from the ground made by the accumulated implicit behaviors such as the absence of the second part. We finally concluded that the criticism type of disagreement increased the rank scores, and its censure type produced lower results, and the proper ways of disagreement in group discussions were discussed.     

On the performance of tests by Wu and by Hausman for detecting the ordinary least squares bias problem

We first consider the performance of the Wu (1973) - Hausman (1978) (W-H) specification error test as a test for the existence of ordinary least squares (OLS) bias. We discuss power properties of the test under alternative null hypotheses, one of which has not previously been considered. We next consider how the W-H test performs as an indicator of the extent (rather than the existence) of an OLS bias problem, since this usage of the test seems common in applied studies. Finally Monte Carlo methods are used to evaluate Wu's two-step estimation procedure involving the W-H test as a pretest.