Trees and decisions

Summary. The traditional model of sequential decision making, for instance, in extensive form games, is a tree. Most texts define a tree as a connected directed graph without loops and a distinguished node, called the root. But an abstract graph is not a domain for decision theory. Decision theory perceives of acts as functions from states to consequences. Sequential decisions, accordingly, get conceptualized by mappings from sets of states to sets of consequences. Thus, the question arises whether a natural definition of a tree can be given, where nodes are sets of states. We show that, indeed, trees can be defined as specific collections of sets. Without loss of generality the elements of these sets can be interpreted as representing plays. Therefore, the elements can serve as states and consequences at the same time.Received: 23 January 2003, Revised: 2 November 2003, JEL Classification Numbers: C72, D70. Correspondence to: Klaus RitzbergerWe are grateful to Larry Blume, Ariel Rubinstein, Jörgen Weibull, an anonymous referee, and seminar participants at the universities of Vienna, Salamanca, and Heidelberg for helpful comments. Financial support from the Austrian Science Fund (FWF) under project P15281 is also gratefully acknowledged.     

Prescribed conditional interaction structure models with application to the analysis of mobility tables

The present paper considers some new models for the analysis of multidimensional contigency tables. Although the theoretical background used here appeared already in Haberman (1974), prescribed conditional interaction (PCIN) models were introduced by Rudas (1987) and their mathematical properties were worked out by Leimer and Rudas (1988). These models are defined by prescribing the values of certain conditional interactions in the contingency table. Conditional interaction is defined here as the logarithm of an appropriately defined conditional odds ratio. This conditional odds ratio is a conditional version of a generalization of the well known odds ratio of a 2×2 table and that of the three factor interaction term of a 2×2×2 table and applies to any number of dimensions and any number of categories of the variables. The well known log-linear (LL) models are special PCIN models. Estimated frequencies under PCIN models and tests of fit can be computed using existing statistical software (e.g. BMDP). The paper describes the class of PCIN models and compares it to the class of association models of Goodman (1981). As LL models are widely used in the analysis of social mobility tables, application of more general PCIN models is illustrated.     

Sectoral and aggregate technology growth in Spain

In this paper we analyze technological change in the Spanish economy by constructing adjusted Solow residuals, where the adjustment attempts to correct for the bias associated with the potential presence of imperfect competition, increasing returns, variable input utilization and, especially, sectoral reallocation of inputs across sectors. We refer to this modified Solow residual as a technology index. Sectoral reallocations and variable input utilization are key determinants of the differences between the aggregate Solow residual and the technology index resulting from the aggregation of estimated sectoral technological growth. We show that starting in the mid nineties, there has been a deceleration in the aggregate growth rate of technology which is basically due to the behaviour of the manufacturing sectors. Finally, our results imply that aggregate technology growth is less volatile than aggregate productivity as measured by the Solow residual.     

Strategic Environmental Standards, Wage Incomes and the Location of Polluting Firms

The purpose of this paper is tostudy how the choice of environmental standardsby governments is affected by the existence ofwage incomes when firms locations areendogenous. In developed countries labor isunionized, which allows positive wage incomesto arise. Thus, each government has incentivesto persuade firms to locate in its countrysince social welfare depends on suchincomes. But, as pollution damages theenvironment, each government will only try toattract polluting firms to thecountry, to obtain the wage incomes, whenthe valuation of environmental damage showsthat it is low.     

Austrian Economics and Public Choice

The Review of Austrian Economics -     

The Impact of Basel II on Lending to Small- and Medium-Sized Firms: A Regulatory Policy Assessment Based on Spanish Credit Register Data

The objective of this paper is to evaluate the impact on bank credit exposures to small- and medium-sized Spanish firms of the current proposal for reform of the 1988 Capital Accord using information from the Spanish Credit Register. Capital requirements for exposures to those firms, according to the various revisions of the proposed capital reform (from the January 2001 consultative document to the April 2003 one), are calculated to analyze whether the existing pattern of bank financing of small- and medium-sized firms might be altered. Finally, the incentives for individual banks to adopt the advanced internal ratings-based approach proposed by Basel II are evaluated.     

Can employee ownership and human resource management policies clash in worker cooperatives? Lessons from a defunct cooperative

The article analyzes the interaction between employee ownership, HRM policies and practices, and HRM outcomes in what was the world's biggest industrial worker cooperative for decades, and now defunct, Fagor Electrodomésticos. Using longitudinal internal data and detailed interviews with key stakeholders, this paper sheds light on how employee ownership conditioned HRM policies. HRM outcomes—such as job satisfaction and absenteeism—are also analyzed over a long period of time. Chronic nepotism when recruiting new members, failures in the training policy, impoverished and Taylorist working systems, and reverse dominance hierarchies are analyzed as factors that increased free riding and caused low satisfaction and the disengagement of working members. This case study contributes to the literature on HRM and worker cooperatives as it provides some insights that are rarely found in that literature. It also provides guidance to worker cooperatives about increasing the fit between employee ownership and HRM policies and outcomes.     

Estimation of investment costs in fish processing plants

Investment costs for fish processing plants are hereby presented along with a detailed analysis of different types of processes in relation to economies of scale.The cost-capacity factor for fish industry is estimated as 0.84, except for fish meal plants where the cost-capacity factor is 0.61.It is also discussed how technology, capacity and location in developed and developing countries can affect investment costs for fish processing plants, while cost-capacity factors remain unchanged.The concept of minimum limit for industrial capacity is included. Investment costs for minimum size plants or plants below minimum size are even greater than what would correspond to the correlation line. This is due to the need to incorporate one or more oversized pieces of equipment.