Price increase and stability with new entries in Cournot markets

It is widely accepted in the literature about the classicalCournot oligopoly model that the loss of quasi competitiveness is linked,in the long run as new firms enter the market, to instability of the equilibrium. In this paper, though, we present a model in which a stableunique symmetric equilibrium is reached for any number of oligopolistsas industry price increases with each new entry. Consequently, the suspicion that non quasi competitiveness implies, in the long run, instabilityis proved false.

Demand for private health insurance: Is there a quality gap?

Quality of care is qualified as a main determinant of the demand forvoluntary private health insurance (PHI) in National Health Systems(NHS). This paper provides new evidence on the influence of the qualitygap between public and private health insurance and other demanddeterminants in the demand for PHI in Catalonia. The demand for PHI ismodelled as a demand for health care quality. Unlike previous studies, the database employed allows for the development of a link between thetheoretical and the empirical model dealing with unobserved heterogeneityand endogeneity issues. Results suggest that a rise in PHI qualityenhances an equivalent influence in the demand for PHI as an equalreduction of NHS quality. Income and price elasticity estimates areconsistent with the observed feature that PHI appears to be a luxurygood and individuals tend to be relatively insensible to tax relief'sand monetary co-payments in insurance contracts.

Generic entry into a regulated pharmaceutical market

The aim of this paper is to analyse empirically entry decisions by generic firms intomarkets with tough regulation. Generic drugs might be a key driver of competitionand cost containment in pharmaceutical markets. The dynamics of reforms ofpatents and pricing across drug markets in Spain are useful to identify the impact ofregulations on generic entry. Estimates from a count data model using a panel of 86active ingredients during the 1999 2005 period show that the drivers of genericentry in markets with price regulations are similar to less regulated markets: genericfirms entries are positively affected by the market size and time trend, and negativelyaffected by the number of incumbent laboratories and the number of substitutesactive ingredients. We also find that contrary to what policy makers expected, thesystem of reference pricing restrains considerably the generic entry. Short run brandname drug price reductions are obtained by governments at the cost of long runbenefits from fostering generic entry and post-patent competition into the markets.

Approximation of quadratic irrationals and their pierce expansions

In this article two aims are pursued: on the one hand, to present arapidly converging algorithm for the approximation of square roots; on theother hand and based on the previous algorithm, to find the Pierce expansionsof a certain class of quadratic irrationals as an alternative way to themethod presented in 1984 by J.O. Shallit; we extend the method to findalso the Pierce expansions of quadratic irrationals of the form $2 (p-1)(p - \sqrt{p^2 - 1})$ which are not covered in Shallit's work.

Rethinking the effects of financial liberalization

During the last few decades, many emerging markets have lifted restrictions on cross-borderfinancial transactions. The conventional view was that this would allow these countries to: (i)receive capital inflows from advanced countries that would finance higher investment and growth;(ii) insure against aggregate shocks and reduce consumption volatility; and (iii) accelerate thedevelopment of domestic financial markets and achieve a more efficient domestic allocationof capital and better sharing of individual risks. However, the evidence suggests that thisconventional view was wrong.In this paper, we present a simple model that can account for the observed effects of financialliberalization. The model emphasizes the role of imperfect enforcement of domestic debts and theinteractions between domestic and international financial transactions. In the model, financialliberalization might lead to different outcomes: (i) domestic capital flight and ambiguous effectson net capital flows, investment, and growth; (ii) large capital inflows and higher investmentand growth; or (iii) volatile capital flows and unstable domestic financial markets. The modelshows how these outcomes depend on the level of development, the depth of domestic financialmarkets, and the quality of institutions.

On a problem of Alfréd Rényi

Alfréd Rényi, in a paper of 1962, A new approach to the theory ofEngel's series, proposed a problem related to the growth of theelements of an Engel's series. In this paper, we reformulate andsolve Rényi's problem for both, Engel's series and Pierceexpansions.

Enforcement problems and secondary markets

There is a large and growing literature that studies the effects of weak enforcement institutions on economic performance. This literature has focused almost exclusively on primary markets, in which assets are issued and traded to improve the allocation of investment and consumption. The general conclusion is that weak enforcement institutions impair the workings of these markets, giving rise to various inefficiencies.But weak enforcement institutions also create incentives to develop secondary markets, in which the assets issued in primary markets are retraded. This paper shows that trading in secondary markets counteracts the effects of weak enforcement institutions and, in the absence of further frictions, restores efficiency.

A total order in [0,1] defined through a 'next' operator

A `next' operator, s, is built on the set R1=(0,1]-{ 1-1/e} defining a partial order that, with the help of the axiom of choice, can be extended to a total order in R1. Besides, the orbits {sn(a)}nare all dense in R1 and are constituted by elements of the samearithmetical character: if a is an algebraic irrational of degreek all the elements in a's orbit are algebraic of degree k; if a istranscendental, all are transcendental. Moreover, the asymptoticdistribution function of the sequence formed by the elements in anyof the half-orbits is a continuous, strictly increasing, singularfunction very similar to the well-known Minkowski's ?(×) function.

Country portfolios

Capital flows to developing countries are small and are mostly take the form of loans rather than direct foreign investment. We build a simple model of North-South capital flows that highlights the interplay between diminishing returns, production risk and sovereign risk. This model generates a set of country portfolios and a world distribution of capital stocks that resemble those in the data.

The evolution of adult height in Europe: A brief note

This paper presents new evidence on the evolution of adult height in 10 Europeancountries for cohorts born between 1950 and 1980 using the European CommunityHousehold Panel (ECHP), which collects height data from Austria, Belgium, Denmark,Finland, Greece, Ireland, Italy, Portugal, Spain and Sweden. Our findings show agradual increase in adult height across all countries. However, countries from SouthernEurope (Greece, Italy, Portugal, Spain) experienced higher gains in stature than thoselocated in Northern Europe (Austria, Belgium, Denmark, Finland, Ireland and Sweden).

Review of the literature on reference pricing

This paper reviews the literature on reference pricing (RP) in pharmaceutical markets. The RP strategy for cost containment of expenditure on drugs is analyzed as part of the procurement mechanism. We review the existing literature and the state-of-the-art regarding RP by focusing on its economic effects. In particular, we consider: (1) the institutional context and problem-related factors which appear to underline the need to implement an RP strategy; i.e., its nature, characteristics and the sort of health care problems commonly addressed; (2) how RP operates in practice; that is, how third party-payers (the insurers/buyers) have established the RP systems existing on the international scene (i.e., information methods, monitoring procedures and legislative provisions); (3)the range of effects resulting from particular RP strategies (including effects on choice of appropriate pharmaceuticals, insurer savings, total drug expenditures, prices of referenced and non-referenced products and dynamic efficiency; (4) the market failures which an RP policy is supposed to address and the main advantages and drawbacks which emerge from an analysis of its effects. Results suggest that RP systems achieve better their postulated goals (1) if cost inflation in pharmaceuticals is due to high prices rather than to the excess of prescription rates, (2) when the larger is the existing difference in prices among equivalent drugs, and (3) more important is the actual market for generics.

Sovereign risk and secondary markets

Conventional wisdom views the problem of sovereign risk as one of insufficient penalties.Foreign creditors can only be repaid if the government enforces foreign debts. And this will onlyhappen if foreign creditors can effectively use the threat of imposing penalties to the country.Guided by this assessment of the problem, policy prescriptions to reduce sovereign risk havefocused on providing incentives for governments to enforce foreign debts. For instance, countriesmight want to favor increased trade ties and other forms of foreign dependence that make themvulnerable to foreign retaliation thereby increasing the costs of default penalties.

A singular function and its relation with the number systems involved in its definition

Minkowski's ?(x) function can be seen as the confrontation of two number systems: regular continued fractions and the alternated dyadic system. This way of looking at it permits us to prove that its derivative, as it also happens for many other non-decreasing singular functions from [0,1] to [0,1], when it exists can only attain two values: zero and infinity. It is also proved that if the average of the partial quotients in the continued fraction expansion of x is greater than k* =5.31972, and ?'(x) exists then ?'(x)=0. In the same way, if the same average is less than k**=2 log2(F), where F is the golden ratio, then ?'(x)=infinity. Finally some results are presented concerning metric properties of continued fraction and alternated dyadic expansions.

How wide is the gap? An investigation of gender wage differences using quantile regression

In this paper we examine the determinants of wages and decompose theobserved differences across genders into the "explained by differentcharacteristics" and "explained by different returns components"using a sample of Spanish workers. Apart from the conditionalexpectation of wages, we estimate the conditional quantile functionsfor men and women and find that both the absolute wage gap and thepart attributed to different returns at each of the quantiles, farfrom being well represented by their counterparts at the mean, aregreater as we move up in the wage range.

Measuring and explaining farm inefficiency in a panel data set of mixed farms

This paper aims to estimate a translog stochastic frontier production function in the analysis of a panel of 150 mixed Catalan farms in the period 1989-1993, in order to attempt to measure and explain variation in technical inefficiency scores with a one-stage approach. The model uses gross value added as the output aggregate measure. Total employment, fixed capital, current assets, specific costs and overhead costs are introduced into the model as inputs. Stochasticfrontier estimates are compared with those obtained using a linear programming method using a two-stage approach. The specification of the translog stochastic frontier model appears as an appropriate representation of the data, technical change was rejected and the technical inefficiency effects were statistically significant. The mean technical efficiency in the period analyzed was estimated to be 64.0%. Farm inefficiency levels were found significantly at 5%level and positively correlated with the number of economic size units.