An ordinal shapley value for economic environments (Revised version)

We propose a new solution concept to address the problem of sharing a surplus among the agents generating it. The problem is formulated in the preferences-endowments space. The solution is defined recursively, incorporating notions of consistency and fairness and relying on properties satisfied by the Shapley value for Transferable Utility (TU) games. We show a solution exists, and call it the Ordinal Shapley value (OSV). We characterize the OSV using the notion of coalitional dividends, and furthermore show it is monotone and anonymous. Finally, similarly to the weighted Shapely value for TU games, we construct a weighted OSV as well.

An ordinal shapley value for economic environments

We propose a new solution concept to address the problem of sharing a surplus among the agents generating it. The sharing problem is formulated in the preferences-endowments space. The solution is defined in a recursive manner incorporating notions of consistency and fairness and relying on properties satisfied by the Shapley value for Transferable Utility (TU) games. We show a solution exists, and refer to it as an Ordinal Shapley value (OSV). The OSV associates with each problem an allocation as well as a matrix of concessions ``measuring'' the gains each agent foregoes in favor of the other agents. We analyze the structure of the concessions, and show they are unique and symmetric. Next we characterize the OSV using the notion of coalitional dividends, and furthermore show it is monotone in an agent's initial endowments and satisfies anonymity. Finally, similarly to the weighted Shapley value for TU games, we construct a weighted OSV as well.

Excreção urinária de 17-Cetoesteroides neutros no cavalo normal e no cavalo castrado

Total urinary neutral 17-steroids were determined in normal and in castrated horses. One liter of a 15-26 hours urine collection was hydrolysed by refluxing with 10% HC1 (v/v) for ten minutes and extracted with peroxyde-free ethyl ether. The extract was purified by washing with saturated NaHCO³ and KOH solutions. One half of the crude neutral fraction was fractionated with Girard's "T" reagent . The Zimmermann reaction was performed both in the ketonic and in the crude neutral extracts, using alcoholic 2.5N KOH and a 60 minutes period for the colour development in the dark. Optical density measuments were made in a grating Coleman Universal Spectrophotometer at 420 mµ and 520mµ; for the crude neutral fraction a colour correction equation was applied. The aliquot fraction used for colorimety was adjusted for keeping optical density measurements within the range 0.2 to 0.7. Androsterone (mp. 184-184.5°C) with an absorption maximum at 290.5 mµ (Beckman Model DU Spectrophotometer) was used as a reference standard. Table I, ilustrates the results obtained. At the 0.05 probability level there is a significant difference among castrated and normal group means (Fischer's "t" test.) when were used the data obtained from the ketonic fractions; in spite of the use of a colour correction applied for inespecific chromogens, the same results could not be obtained with the crude neutral fractions, Since Girard's reagent fractionation is generaly accepted as the best method for correcting the inespecific chromogen interference in the determination of the 17-ketosteroids by the Zimmermann reaction, we emphasize the value of the results obtained with the ketonic fractions. From these results it appears, as occurs in others mammals, that castrated horses show a lower level of urinary 17-ketosteroids excretion than the normal horses. The significance of the horse testis contribution for the neutral urinary steroid metabolites is discussed. Since horse urine has a low androgenic activity, the fractionation of the neutral 17-ketosteroids must be studied more accurately.

Reference prices: the spanish way

The aim of this paper is to analyse the effects of recent regulatory reforms that Spanish Health Authorities have implemented in the pharmaceutical market: the introduction of a reference price system together with the promotion of generic drugs. The main objectives of these two reforms are to increase price competition and, ultimately, reduce pharmaceutical costs. Before the introduction of reference prices, consumers had to pay a fixed copayment of the price of whatever drug purchased. With the introduction of such system, the situation differs in the following way: if (s)he buys the more expensive branded drug, then (s)he pays a sum of two elements: the copayment associated to the reference price plus the difference between the price of this good and the reference price. However, if the consumer decides to buy the generic alternative, with price lower than the reference price, then (s)he has to pay the same copayment as before. We show that the introduction of a reference price system together with the promotion of generic drugs increase price competition and lower pharmaceutical costs only if the reference price is set in a certain interval. Also profits for the duopolists might be reduced. These results are due to the opposing effects that reference prices have on branded and generic producers respectively.

3-T direct MR arthrography of the wrist: value of finger trap distraction to assess intrinsic ligament and triangular fibrocartilage complex tears.

PURPOSE: To determine the value of applying finger trap distraction during direct MR arthrography of the wrist to assess intrinsic ligament and triangular fibrocartilage complex (TFCC) tears. MATERIALS AND METHODS: Twenty consecutive patients were prospectively investigated by three-compartment wrist MR arthrography. Imaging was performed with 3-T scanners using a three-dimensional isotropic (0.4 mm) T1-weighted gradient-recalled echo sequence, with and without finger trap distraction (4 kg). In a blind and independent fashion, two musculoskeletal radiologists measured the width of the scapholunate (SL), lunotriquetral (LT) and ulna-TFC (UTFC) joint spaces. They evaluated the amount of contrast medium within these spaces using a four-point scale, and assessed SL, LT and TFCC tears, as well as the disruption of Gilula's carpal arcs. RESULTS: With finger trap distraction, both readers found a significant increase in width of the SL space (mean Δ = +0.1mm, p ≤ 0.040), and noticed more contrast medium therein (p ≤ 0.035). In contrast, the differences in width of the LT (mean Δ = +0.1 mm, p ≥ 0.057) and UTFC (mean Δ = 0mm, p ≥ 0.728) spaces, as well as the amount of contrast material within these spaces were not statistically significant (p = 0.607 and ≥ 0.157, respectively). Both readers detected more SL (Δ = +1, p = 0.157) and LT (Δ = +2, p = 0.223) tears, although statistical significance was not reached, and Gilula's carpal arcs were more frequently disrupted during finger trap distraction (Δ = +5, p = 0.025). CONCLUSION: The application of finger trap distraction during direct wrist MR arthrography may enhance both detection and characterisation of SL and LT ligament tears by widening the SL space and increasing the amount of contrast within the SL and LT joint spaces.

Taxonomical and biogeographical problems in Mediterranean shrews of the genus Crocidura (Mammalia, Insectivora) with reference to a new karyotype from Sicily (Italy)

Shrews of the genus Crocidura from Sicily revealed a new karyotype from Europe: 2n = 36, NF = 56, NFa = 52. With reference to the revision of Vesmanis (1976), this shrew is provisionally attributed to C. caudata Miller, 1901 and it is proposed to call it the "Sicilian shrew". Its chromosome complement is similar to that of shrews from Canary Islands and a species from Burundi (Central Africa), suggesting that it might have split off from a line of Paleotropical origin. Following these findings, the modern concept of Mediterranean island colonization by shrews must be revised. The distinctive characteristics of Mediterranean shrews should also be revised.

Resting metabolic rate and protein turnover in apparently healthy elderly Gambian men.

Body composition, resting energy expenditure (REE), and whole body protein metabolism were studied in 26 young and 28 elderly Gambian men matched for body mass index during the dry season in a rural village in The Gambia. REE was measured by indirect calorimetry (hood system) in the fasting state and after five successive meals. Rates of whole body nitrogen flux, protein synthesis, and protein breakdown were determined in the fed state from the level of isotopic enrichment of urinary ammonia over a period of 12 h after a single oral dose of [15N]glycine. Expressed in absolute value, REE was significantly lower in the elderly compared with the young group (3.21 +/- 0.07 vs. 4.04 +/- 0.07 kJ/min, P < 0.001) and when adjusted to body weight (3.29 +/- 0.05 vs. 3.96 +/- 0.05 kJ/min, P < 0.0001) and fat-free mass (FFM; 3.38 +/- 0.01 vs. 3.87 +/- 0.01 kJ/min, P < 0.0001). The rate of protein synthesis averaged 207 +/- 13 g protein/day in the elderly and 230 +/- 13 g protein/day in the young group, whereas protein breakdown averaged 184 +/- 13 g protein/day in the elderly and 203 +/- 13 g protein/day in the young group (nonsignificant). When values were adjusted for body weight or FFM, they did not reveal any difference between the two groups. It is concluded that the reduced REE adjusted for body composition observed in elderly Gambian men is not explained by a decrease in protein turnover.

Heritability, determinants and reference values of renal length: a family-based population study.

OBJECTIVES: In this population-based study, reference values were generated for renal length, and the heritability and factors associated with kidney length were assessed. METHODS: Anthropometric parameters and renal ultrasound measurements were assessed in randomly selected nuclear families of European ancestry (Switzerland). The adjusted narrow sense heritability of kidney size parameters was estimated by maximum likelihood assuming multivariate normality after power transformation. Gender-specific reference centiles were generated for renal length according to body height in the subset of non-diabetic non-obese participants with normal renal function. RESULTS: We included 374 men and 419 women (mean ± SD, age 47 ± 18 and 48 ± 17 years, BMI 26.2 ± 4 and 24.5 ± 5 kg/m(2), respectively) from 205 families. Renal length was 11.4 ± 0.8 cm in men and 10.7 ± 0.8 cm in women; there was no difference between right and left renal length. Body height, weight and estimated glomerular filtration rate (eGFR) were positively associated with renal length, kidney function negatively, age quadratically, whereas gender and hypertension were not. The adjusted heritability estimates of renal length and volume were 47.3 ± 8.5 % and 45.5 ± 8.8 %, respectively (P < 0.001). CONCLUSION: The significant heritability of renal length and volume highlights the familial aggregation of this trait, independently of age and body size. Population-based references for renal length provide a useful guide for clinicians. KEY POINTS: • Renal length and volume are heritable traits, independent of age and size. • Based on a European population, gender-specific reference values/percentiles are provided for renal length. • Renal length correlates positively with body length and weight. • There was no difference between right and left renal lengths in this study. • This negates general teaching that the left kidney is larger and longer.

L' Aprenentatge basat en problemes a través de casos clínics simulats. Una proposta metodològica de disseny i avaluació docent

RESUM Les exigències actuals de la professió de d’infermeria requereixen que la docència vagi orientada a interrelacionar els diferents rols a desenvolupar enla pràctica diària, per adquirir experiència en l’aprenentatge i així augmentar la qualitat de les cures d’infermeria. Per assolir aquest objectiu és important l’aprenentatge basat enproblemes. Aquest pretén en primer lloc que els estudiants aprenguin allò que permet desenvolupar-se enla vida professional de la manera més natural possible a partir d’una idea clara i profunda de l’evidència sobre la que s’ha d’actuar. Amb aquesta finalitat es vandissenyar casos clínics amb uns objectius que requerien la integració de coneixements, actituds i valors, en diferents fases a desenvolupar en un període de temps predeterminat. També ens vam proposar una estratègia docent que permetés a l’estudiant incorporar el coneixement científic que dóna suport a la pràctica assistencial per aproximar teoria i pràctica. Es pretén que els estudiants busquin una resposta basada en la millor evidència científica disponible, per prendre una decisió respecte a les cures del pacient. Els objectius de l’estudi són: Avaluar globalment l’aprenentatge basat en la simulació de casos Avaluar com els estudiants valoren la integració del model d’infermeria i del procés d’atenció en l’aprenentatge basat en la simulació de casos. Valorar les sensacions percebudes per l’estudiant durant la simulació del cas. Valorar l’actitud d el’estudiant en relació a la incorporació de l’evidència científica per una millora en la pràctica clínica. Avaluar el grau de dificultat manifestat per l’estudiant en relació al procés de documentació. Avaluar la idonietat de l’argumentació i la decisió de l’estudiant a la pregunta formulada en el cas clínic. Metodologia: L’assignatura d’Infermeria Medicoquirúrgica. Adult I del Departament d’Infermeria de la Universitat de Vic, va iniciar una experiència d’aprenentatge basat en la resolució de problemes, amb estudiants de 2on curs. Les professores responsables dels seminaris van realitzar una avaluació de l’experiència a través d’una enquesta. Aquesta es responia al cap d’un mes de la simulació al laboratori, quan es contrastaven els resultats obtinguts en aquesta entre professores i estudiants després de visualitzar la gravació feta durant el mateix. En el context del seminari de simulació de casos, es va introduir una pregunta/problema, a partir de la que els estudiants, en grup, havien de documentar-se amb el suport d’una guia. Per valorar l’actitud davant aquesta pregunta/problema es va dissenyar un qustionari tipus Likert. L’avaluació del grau de dificultat s’ha registrat a través d’unes escales de puntuació. Per a l’avaluació de la decisió presa, es van valorar les síntesis resum entregades en els treballs escrits pels diferents grups. Resultats: La realització de la simulació en el laboratori va ser avaluada per un alt percentatge d’estudiants (68,8%) amb puntuacions entre 6 i 8 mentre que un 26,6% la van situar en tre 9 i 10, només un 4,7 % la van puntuar amb 5. La integració del model d’infermeria va ser valorada pel 86% amb una puntuació entre 7 i 10. La valoració global de la simulació va ser qualificada pels estudiants amb una puntuació de 8 (34,4%) seguida d’un 28,1% amb una consideració de 7. Un 7,2% van puntuar entre 9 i 10. El 93,3% van assegurar que conèixer les fonts documentals els serviria per millorar l’assistència, el 86,7% esperen obtenir arguments sòlids respecte les seves desicions si la documentació consultada és de qualitat. Un 77,8% dels estudiants consideren estar més satisfets al saber incorporar la presa de decisions basada en evidències. Respecte el grau de dificultat en el procés de documentació la dificultat més gran la presenten en com buscar en les bases de dades de referències bibliogràfiques. Conclusions: L’aprenentatge dels estudiants a través de la simulació de casos és una estratègia vàlida que l’estudiant valora positivament al mateix temps que permet desenvolupar habilitats per a la pràctica professional. L’estratègia docent dissenyada per integrar les evidències en la presa de decisions es considera positiva, no obstant, després d’analitzar els resultats, s’han de modificar alguns aspectes per a la seva millora; tutoritzar per a millorar el procés de documentació i incidir més en la crítica i reflexió, de manera que les troballes de la investigació siguin canalitzades cap a la pràctica.