The Borda rule,Condorcet consistency and Condorcet stability

Summary. The Borda rule is known to be the least vulnerable scoring rule to Condorcet inconsistency, Saari (2000). Such inconsistency occurs when the Condorcet winner (the alternative which is preferred to any other alternative by a simple majority) is not selected by the Borda rule. This note exposes the relationship between the Borda rule and the Condorcet q-majority principle as well as the Condorcet q-majority voting rule. The main result establishes that the Borda rule is Condorcet q-majority consistent when where k is the number of alternatives. The second result establishes that is the minimal degree of majority decisiveness corresponding to the Borda rule under sincere voting. The same majority is required to ensure decisiveness under the Borda rule and to ensure that a q-rule (the generalized q-majority Condorcet rule) is a voting rule. Received: April 8, 2002; revised version: July 17, 2002 Correspondence to:S. Nitzan     

Schumpeter and the revival of evolutionary economics: an appraisal of the literature

During the last two decades we have seen a revival of interest in the works of Joseph Schumpeter and “evolutionary” ideas in economics more generally. A professional society honouring Schumpeter's name has been founded, and linked to it we have had for more than fifteen years now a professional journal devoted to this stream of thought. However, it has been argued that, despite these developments, the link between Schumpeter's own work and the more recent contributions to evolutionary economics is in fact rather weak. This paper considers this claim. Based on an analysis of Schumpeter's contribution to economics the paper presents an overview and assessment of the more recent literature in this area. It is argued that although there are important differences between Schumpeter's work and some of the more recent contributions, there nevertheless remains a strong common core that clearly distinguishes the evolutionary stream from other approaches (such as, for instance, so-called “new growth theory”). RID="*" ID="*" Many people have contributed to this paper in various ways. Jon Hekland at the Norwegian Research Council started it all by asking me to make an overview of the contribution from “evolutionary economics” to our understanding of contemporary economies. Several people helped me on the way by supplying written material, comments and suggestions, and I am indebted to all of them. Brian Arthur, Stan Metcalfe, Keith Pavitt, Erik Reinert, Paolo Saviotti and Bart Verspagen may be particularly mentioned. A preliminary version was presented at the conference “Industrial R&D and Innovation Policy Learning – Evolutionary Perspectives and New Methods for Impact Assessment” organised by the Norwegian Research Council (“SAKI”) at Leangkollen, Asker, April 18–19.2002. I wish to thank the discussant, Tor Jakob Klette, and the participants at the conference for useful feedback. Moreover I have benefited from comments and suggestions from the editors and referees of this journal. The final responsibility is mine, however. Economic support from the Norwegian Research Council (“SAKI”) is gratefully acknowledged.     

Italian households’ debt: the participation to the debt market and the size of the loan

This paper analyses Italian households’ participation to the debt market, separating the probability of demanding a loan from the probability of being rationed by lenders; on the supply side of the market specific attention is paid to enforcement costs of the loan contract when customers default. A new result is that the age of the household head acts essentially as a demand factor, rather than a variable influencing the lender’s choice. Both current and future households’ income increase the demand for loans and reduce credit rationing. Self-employed workers are more rationed by lenders. Credit constraints are also linked to the area where the household lives, partly because of different enforcement costs. The final part of the paper analyses the equilibrium quantity of the loan, for households who have a loan and are not constrained. The loan size is positively linked to household net wealth and income profile. An important contribution of this paper is the finding that, not only the participation to the debt market, but also the loan size is negatively affected by enforcement costs.      

Approximating unanimity orderings: An application to Lorenz dominance

Stochastic dominance and Lorenz dominance are examples of orderings which require unanimous agreement among an infinite set of indices. This paper considers various subsets of inequality measures that respect Lorenz dominance, and assesses the extent to which a small number of indices can reproduce the Lorenz ordering. Using income data for 80 countries, our results suggest that Lorenz dominance can be predicted with 99% accuracy using just 3 or 4 inequality measures, as long as two of them focus on the extreme upper and lower tails of the distribution. In contrast, confining attention to the index families and parameter ranges normally considered may fail to detect the majority of occasions when Lorenz curves intersect. These results lead us to question the faith placed in procedures based on a finite set of inequality indices, and to suggest that similar lessons will apply to other types of unanimity orderings.     

Is capital a collusion device?

Summary. We examine how irreversible capital reduces the possibility of a duopoly to sustain implicit collusion by grim strategies, when the product is homogenous and firms compete in quantities. Compared with the case of reversible capital, there are two countervailing effects: Deviation from an existing collusion is less attractive, because capital once installed causes costs forever. But the punishment will also be less severe due to the high capacity the deviating firm can build before punishment starts. The last effect dominates, meaning that the commitment value of capital is negative for all firms. If capital is irreversible, collusion breaks down for realistic magnitudes of interest rates. Received: April 30, 1999; revised version: November 30, 2001     

Open interest,volume, and volatility: evidence from Taiwan futures markets

This paper examines the relationships amongst volatility, total trading volume (TVOL) and total open interest (TOI) for three Taiwan stock index futures markets as well as the role of the latter two variables in the dynamics of GARCH modeling and forecasting. From both ex-post and ex-ante perspectives, we study this issue by using the VAR model and augmented GARCH-type models, respectively. For the GARCH-type models, we employ both symmetric and asymmetric models augmented with lagged logs in TOI and/or TVOL. We find that whether addition of these two variables helps the basic GARCH models predict future volatility depends upon the sample period examined for all three sets of futures. Nonetheless, the best three models for out-of-sample volatility forecasting in the MSE sense are generally the augmented models for all sub-intervals and all three futures contracts.     

The trend in female labour force participation: what can be expected for the future?

This study investigates the increase in the labour force participation rate of women. We estimate a binary age–period–cohort model for a sample of Dutch women born between 1925 and 1986. The results indicate that the increasing level of education and the diminishing negative effect of children have played an important role. Moreover, we find important unobserved cohort effects for pre-1955 generations, which is in line with results of studies on social norms. It is shown that the growth in female participation is likely to slow down in the near future, as such cohort effects are not relevant for younger generations.     

Natural Resources and Internal Conflict

We present a model of conflict in which each group decides to claim the country’s income and invest in arms or to accept a group neutral allocation of income and not invest in arms. Apart from the usual cooperative or conflictual societies, their strategic choice can result in hierarchically stratified societies in which one group is dominant. We show how the presence and exploitation of certain types of resources matters for the occurrence of conflict or social hierarchical stratification and for the possible effects of trust manipulation. In particular we find that, first, robust (encompassing point and lootable) resource rich economies tend to be conflictual, plantation economies hierarchically stratified and diversified economies cooperative. Second, foreign intervention, aimed at changing the balance of power in the case of conflict, is most effective in robust and diffuse resource rich economies. Third, trust manipulation (as a means to counter conflict) is most effective in subsistence and diffuse resource rich economies. Throughout the article, we cite ample case study and econometric evidence to support our model.