A functional equation related to the product in a quadratic number field

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Product differentiation, competitive pressure and the effects of innovation on the success and survivability of firms in oligopoly markets

In a recent paper Tishler and Milstein (2009) fi…nd that increased competition may increase aggregate R&D spending while market output decreases. Therefore, they obtain the surprising result that R&D spending is excessive when competition becomes intense. Their result is based on the standard linear demand function for differentiated products introduced by Bowley (1924) where decreased product differentiation is interpreted as more competitive pressure. In this paper I show that at an aggregate level this interpretation is problematic because equilibrium effects are dominated by a demand reduction effect. A slight modifi…cation of the standard demand function eliminates this effect. For the Tishler and Milstein (2009) setting it is shown that then increased competition increases both R&D spending and aggregate market output. Therefore, at least for consumers, more intense competition increases welfare. Journal of Economic Literature Classi…fication Numbers: D43, L1, O3. Keywords: Oligopoly markets, Product differentiation, Competitive pressure.

Age effects, unobserved characteristics and hedonic price indexes: The Spanish car market in the 1990s

This paper computes and compares alternative quality-adjusted price indexes for new cars in Spain in the period 1990-2000. The proposed hedonic approach simultaneously controls for time-invariant unobserved product e¤ects and time-variant unobserved quality changes, that are assumed to be captured by model age effects. The results show that the non-adjusted price index largely overstates the increase in the cost of living induced by changes in car prices and that previous evidence for this market have not measured the real extent of that bias, probably due to the omission of controls for unobservables. It is also shown that omitting age effects can also lead to misleading conclusions. The estimated price indexes give also some insights on what could have been the determinants of price evolution in the Spanish car market.

Age effects, unobserved characteristics and hedonic price indexes: The Spanish car market in the 1990's

This paper computes and compares alternative quality-adjusted price indexes for new cars in Spain in the period 1990-2000. The proposed hedonic approach simultaneously controls for time-invariant unobserved product effects and time-variant unobserved quality changes, that are assumed to be captured by model age effects. The results show that the non-adjusted price index largely overstates the increase in the cost of living induced by changes in car prices and that previous evidence for this market have not measured the real extent of that bias, probably due to the omission of controls for unobservables. It is also shown that omitting age effects can also lead to misleading conclusions. The estimated price indexes give also some insights on what could have been the determinants of price evolution in the Spanish car market. JEL classi…fication numbers: C43, E31, L11, L13, Keywords: Hedonic price indexes, Spanish car market, car prices, CPI, Cost of living

Molecular Basis of Ribotype Variation in the Seventh Pandemic Clone and its O139 Variant of Vibrio cholerae

Ribotyping has been widely used to characterise the seventh pandemic clone including South American and O139 variants which appeared in 1991 and 1992 respectively. To reveal the molecular basis of ribotype variation we analysed the rrn operons and their flanking regions. All but one variation detected by BglI, the most discriminatory enzyme, was found to be due to changes within the rrn operons, resulting from recombination between operons. The recombinants are detected because of the presence of a BglI site in the 16S gene in three of the nine rrn operons and/or changes of intergenic spacer types of which four variants were identified. As the frequency of rrn recombination is high, ribotyping becomes a less useful tool for evolutionary studies and long term monitoring of the pathogenic clones of Vibrio cholerae as variation could undergo precise reversion by the same recombination event.

Rabies in tamarins (Callithrix jacchus) in the State of Ceará, Brazil, a distinct viral variant?

Presently, the State of Ceará reports the largest percentage of human rabies cases originated from wild animals in Brazil, transmitted by the principal simian species, the tamarin (Callithrix jacchus), found in various locations throughout the State, but concentrated along the coast. Epidemiological studies indicated that possibly the same virus caused the deaths in humans and non-human primates. This rabies virus seem to be different from all other identified so far.

Determinació de la regió del genoma o gens implicats en la síntesi del polièster extracel•lular present en la variant llisa de Mycobacterium vaccae mitjançant transformació

Estudi realitzat a partir d’una estada a la Universidad de Zaragoza, Espanya, entre novembre del 2007 i abril del 2008. Mycobacterium vaccae és un micobacteri ambiental de creixement ràpid molt estudiat pel seu interès com a possible ús immunoterapéutic en el tractament de la tuberculosis i altres malalties. M.vaccae a l’igual que altres micobacteris presenta dues morfologies colonials: llisa i rugosa. M.vaccae ATCC15483T té originàriament una morfologia llisa. Quant aquest es cultiva en medi sòlid a 30ºC apareixen espontàniament variants rugoses estables que no reverteixen a llises. El motiu pel qual aquest procés té lloc no es coneix, encara que s’ha descrit en Mycobacterium smegmatis i en Mycobacterium avium que els lípids de la paret cel•lular es troben involucrats en aquest canvi de morfologia colonial. L’anàlisi dels contingut en lípids i glicolípids de la paret cel•lular de les dos variants morfològiques de M.vaccae, ens ha indicat que les soques llises presenten un compost extracel•lular que no es troba en les rugoses i que mitjançant l’anàlisi estructural d’aquest compost ha sigut identificat com un polièster extracel•lular de cadena llarga. El present estudi s’ha centrat en determinar els gens implicats en la síntesis d’aquest compost. Per a realitzar aquest anàlisi genètic s’ha construit una llibreria de mutants per transposició de la soca llisa de M. vaccae mitjançant un plàsmid ts/sac i un transposó. S’han obtingut colònies de morfologia rugosa on el plàsmid s’ha insertat en la zona del genoma que codifica per aquest compost extracel•lular. Aquests nous mutants s’han analitzat mitjançant tècniques moleculars (PCR, Southern y seqüenciació). A mès, s’ha construit una llibreria genòmica amb DNA de la soca llisa en plàsmids replicatius de micobacteris derivats de pAL5000 i s’ha transformat la soca rugosa seleccionant per a un fenotip llis estudiant els gens que complementen.

Profitability, uncertainty and multi-product firm product proliferation: The Spanish car industry

This article studies how product introduction decisions relate to profitability and uncertainty in the context of multi-product firms and product differentiation. These two features, common to many modern industries, have not received much attention in the literature as compared to the classical problem of firm entry, even if the determinants of firm and product entry are quite different. The theoretical predictions about the sign of the impact of uncertainty on product entry are not conclusive. Therefore, an econometric model relating firms’ product introduction decisions with profitability and profit uncertainty is proposed. Firm’s estimated profits are obtained from a structural model of product demand and supply, and uncertainty is proxied by profits’ variance. The empirical analysis is carried out using data on the Spanish car industry for the period 1990-2000. The results show a positive relationship between product introduction and profitability, and a negative one with respect to profit variability. Interestingly, the degree of uncertainty appears to be a driving force of entry stronger than profitability, suggesting that the product proliferation process in the Spanish car market may have been mainly a consequence of lower uncertainty rather than the result of having a more profitable market. Keywords: Product introduction, entry, uncertainty, multiproduct firms, automobile JEL codes: L11, L13

Benign pineal cysts in children with bilateral retinoblastoma: a new variant of trilateral retinoblastoma?

PURPOSE: Patients with hereditary retinoblastoma (Rb) develop in 4%-8% a malignant midline tumor called trilateral Rb (TRb). We report in this study on benign pineal cysts observed in patients investigated for TRb. PATIENTS AND METHODS: Between September 1990 and December 2001, 172 patients were screened for TRb. Ninty-five had bilateral, 77 unilateral disease. The median age at diagnosis of Rb was 7 months (range 1-26). Treatment included enucleation, local treatment with cryotherapy or photocoagulation, first-line chemotherapy (CT), thermo-chemotherapy (TCT), Ruthenium plaque, and, rarely, external beam radiation (EBR). RESULTS: TRb was found in 5/95 patients (5.3%) with bilateral disease. Interestingly, five other patients (5.3%) presented a pineal cyst on magnetic resonance imaging (MRI). No cysts were recorded in the 77 patients with unilateral disease. This difference was statistically significant (P < 0.05). The median age at diagnosis of the pineal cyst was 26 months (range 16-80), much younger than reported in literature for healthy children. Four of five patients with TRb died of the disease, while all the patients with pineal cysts remained stable and asymptomatic during a median follow-up of 41 months (range 37-54). CONCLUSIONS: This report describes benign cystic lesions of the pineal gland in patients with hereditary Rb, suggesting a benign variant of TRb. Underlying possible pathogenetic mechanisms are discussed.

Dynamic product diversity

The goal of this paper is to study the frequency of new product introductions in monopoly markets where demand is subject to transitory saturation. We focus on those types of goods for which consumers purchase at most one unit of each variety, but repeat purchases in the same product category. The model considers infinitely-lived, forward-looking consumers and firms. We show that the share of potential surplus that a monopolist is able to appropriate increases with the frequency of introduction of new products and the intensity of transitory saturation. If the latter is sufficiently strong then the rate of introduction of new products is higher than socially desirable (excessive dynamic product diversity.)

A new serovar and a new serological variant belonging to Salmonella enterica subspecies diarizonae

Description of a new serovar (S. IIIb 16:k:e,n,x,z15) and a new serological variant (S. IIIb 42:z10:e,n,x,z15:z60 ) belonging to the genus Salmonella isolated from stool specimens of Brazilian snakes (Crotalus durissus).