Changing rewards in contests: Has the three-point rule brought more offense to soccer?

In the mid-nineties FIFA decided to increase from two to three the number of points assigned to the winning team of a soccer match played under traditional round-robin national leagues. Since a game of soccer can be regarded as a contest, FIFA's measure provides an interesting case-study for analysing how a change in the system of rewards (from a zero to a non-zero sum rule) may affect the contestants' equilibrium behaviour. In this paper we try to assess, both theoretically and empirically, whether FIFA's new point rule has changed soccer towards a more offensive game, in which teams adopt more risky strategies. In particular, we evaluate the “na?ve hypothesis” according to which the measure would induce every team to play always more offensively, and we explore the extent to which the change in teams' behaviour may be affected by quality differentials between teams. Our most important hypothesis is that when the asymmetry between opposing teams is large enough, an increase in the reward for victory induces the weaker team to play more defensively, rather than the opposite. By looking at a subset of matches held in the Portuguese first division league, which approximate the conditions of our model, we find support for this hypothesis. First version received: July 1999/Final version received: May 2001     

Do global CO2 emissions from fossil-fuel consumption exhibit long memory? a fractional-integration analysis

In this article we use an autoregressive fractionally integrated moving average approach to measure the degree of fractional integration of aggregate world CO₂ emissions and its five components – coal, oil, gas, cement, and gas flaring. We find that all variables are stationary and mean reverting, but exhibit long-term memory. Our results suggest that both coal and oil combustion emissions have the weakest degree of long-range dependence, while emissions from gas and gas flaring have the strongest. With evidence of long memory, we conclude that transitory policy shocks are likely to have long-lasting effects, but not permanent effects. Accordingly, permanent effects on CO₂ emissions require a more permanent policy stance. In this context, if one were to rely only on testing for stationarity and non-stationarity, one would likely conclude in favour of non-stationarity, and therefore that even transitory policy shocks have permanent effects. Our fractional-integration analysis highlights that this is not the case.     

Environmental Policy Instruments: Technology Adoption Incentives with Imperfect Compliance

We study the incentives to adopt advanced abatement technologies in the presence of imperfect compliance. Interestingly, incentives under emission taxes and pollution abatement subsidies are the same that in the perfect compliance scenario. However, under emission standards imperfect compliance can increase firms’ incentives to invest, whereas under an emission permit mechanism investment incentives decrease only if widespread non-compliance induces a reduction in the permit price. Our results are valid for fairly general characteristics of the monitoring and enforcement strategies commonly found in both, theoretical and empirical applications.     

The Return Performance of Cubic Market Model: An Application to Emerging Markets

This article studies the performance of the high-order moment capital asset pricing model (CAPM) market models in emerging markets. We apply the cubic market model (4-moment CAPM) to 16 emerging market stock indices ranging from January 2010 to September 2015. Performance of the model is evaluated through the Fama and MacBeth’s two-step regression and through different corrections proposed in the literature, as well as generalized method of moments (GMM) estimation. According to Fama–MacBeth’s procedure, CAPM, the quadratic and cubic market models seem to be insignificant for the analyzed sample; however, the GMM estimation shows that quadratic model is valid for Indian, Polish, and Thai country indices, whereas cubic market model is accurate for Indian country index.     

Pricing of a structured product on the SX5E when the uncertainty of returns is modeled as a log-stable process

This work presents the participation factor and the valuation of a first-generation structured product with European call options on the Eurostoxx, when the uncertainty of the yields is modeled through log-stable processes. The basic statistics of the index yields are also exposed, the α-stable parameters are estimated, and the valuation of the of the structured models is compared through the log-stable and log-Gaussian models using inputs from the bond markets; concluding that investors obtain higher yields than those of the bond market through both models, and that the differences of the yields depend on the participation factor and on the value of the index at the time of liquidation.     

The Study of Ethnicity and Nationalism Needs Better Categories: Clearing up the Confusions that Result from Blurring Analytic and Lay Concepts

Synopsis It has been difficult to make progress in the study of ethnicity and nationalism because of the multiple confusions of analytic and lay terms, and the sheer lack of terminological standardization (often even within the same article). This makes a conceptual cleaning-up unavoidable, and it is especially salutary to attempt it now that more economists are becoming interested in the effects of identity on behavior, so that they may begin with the best conceptual tools possible. My approach to these questions has been informed by anthropological and evolutionary-psychological questions. I will focus primarily on the terms ‘ethnic group’, ‘nation’, and ‘nationalism’, and I will make the following points: (1) so-called ‘ethnic groups’ are collections of people with a common cultural identity, plus an ideology of membership by descent and normative endogamy; (2) the ‘group’ in ‘ethnic group’ is a misleading misnomer—these are not ‘groups’ but categories, so I propose to call them ‘ethnies’; (3) ‘nationalism’ mostly refers to the recent ideology that ethnies—cultural communities with a self-conscious ideology of self-sufficient reproduction—be made politically sovereign; (4) it is very confusing to use ‘nationalism’ also to stand for ‘loyalty to a multi-ethnic state’ because this is the exact opposite; (5) a ‘nation’ truly exists only in a politician’s imagination, so analysts should not pretend that establishing whether something ‘really’ is or is not ‘a nation’ matters; (6) a big analytic cost is paid every time an ‘ethnie’ is called a ‘nation’ because this mobilizes the intuition that nationalism is indispensable to ethnic organization (not true), which thereby confuses the very historical process—namely, the recent historical emergence of nationalism—that must be explained; (7) another analytical cost is paid when scholars pretend that ethnicity is a form of kinship—it is not.     

Conditional ordering extensions

We produce a solution to the problem of extending a quasiordering conditional on a finite list of ex-ante comparisons between pairs. This constitutes yet another extension of the classical Szpilrajn’s theorem. Some examples of use of our result follow.     

What circumstances lead a government to promote brain drain?

This paper aims to complement the existing theoretical brain drain literature, focusing on the interaction between education, skilled emigration and government intervention in a small open economy. This article first characterises different emigration patterns that may arise in equilibrium, then seeks the conditions that lead a government to promote brain-drain. The model shows that the government may promote skilled emigration among workers with intermediate skills even though the resulting brain drain decreases per capita income. Emigrants remittances outweigh the income they would produce if they did not emigrate. Therefore, the government makes less severe the fall in per capita income that follows the brain drain by encouraging emigration among those skilled workers who are more productive abroad.     

Sector-specific capital, “Bang-bang” investment,and the Filippov solution

Bang-bang investment in a two-sector growth model with immobile capital is rational and leads to a unique and globally stable long-run equilibrium along a sliding trajectory. This steady state coincides with the stationary equilibrium in the traditional model with non-sector-specific capital.This article was written while the authors were visiting scholars at Cornell University. We gratefully acknowledge financial assistance from the Erasmus University Trust Fund and the Netherlands Scientific Organization. We would like to thank, without implicating, two anonymous referees, Martijn Herrmann, Jean-Marie Viaene, Claus Weddepohl, and the participants of seminars at the University of Maryland, the University of Montreal, and Erasmus University Rotterdam for perceptive remarks and useful comments. Jeroen Hinloopen and Rien Wagenvoort provided able graphical assistance. The views expressed in this article are those of the authors and not necessarily those of the World Bank.     

On the impact of leverage constraints on asset prices and trading volume

Abstract. Researchers have used stylized facts on asset prices and trading volume in stock markets (in particular, the mean reversion of asset returns and the correlations between trading volume, price changes and price levels) to support theories where agents are not rational expected utility maximizers. This paper shows that this empirical evidence is in fact consistent with a standard infinite horizon – perfect information – expected utility economy where some agents face leverage constraints similar to those found in todays financial markets. In addition, and in sharp contrast to the theories above, we explain some qualitative differences that are observed in the price-volume relation on stock and on futures markets. We consider a continuous-time economy where agents maximize the integral of their discounted utility from consumption under both budget and leverage constraints. Building on the work by Vila and Zariphopoulou (1997), we find a closed form solution, up to a negative constant, for the equilibrium prices and demands in the region of the state space where the constraint is non-binding. We show that, at the equilibrium, stock holdings volatility as well as its ratio to stock price volatility are increasing functions of the stock price and interpret this finding in terms of the price-volume relation. We would like to thank the editor and two anonimous referees for valuable substantive comments. Our gratitude also to Franklin Allen, Kerry Back, Domenico Cuoco, Xavier Freixas, Sanford Grossman, Michel Habib, Lutz Hendricks, Richard Kihlstrom, Fernando Restoy, Mary Thomson, Jean-Luc Vila, participants to seminars at Birkbeck College, Carnegie-Mellon, Columbia, ESSEC, HEC, IAE, INSEAD, London Business School, London School of Economics, McGill, Michigan, National University of Singapore, Pompeu Fabra, North Carolina, Washington-St-Louis, Wharton, the Jornadas de Economía Financiera BBV, and the Meetings of the Society for Economic Dynamics and Control and the American Finance Association. Special thanks are due to Süleyman Basak for his enthusiastic support and many helpful suggestions. The usual disclaimer applies. We gratefully acknowledge the support of the BBV and Caja de Madrid Foundations and CREF (both authors) and of the Spanish Ministry of Education under DGICYT grant no. PB93-0388 (first author).