Uncertainty on a Bertrand duopoly with product differentiation

The conclusions of the Bertrand model of competition are substantially altered by the presence of either differentiated goods or asymmetric information about rival’s production costs. In this paper, we consider a Bertrand competition, with differentiated goods. Furthermore, we suppose that each firm has two different technologies, and uses one of them according to a certain probability distribution. The use of either one or the other technology affects the unitary production cost. We show that this game has exactly one Bayesian Nash equilibrium. We do ex-ante and ex-post analyses of firms’ profits and market prices. We prove that the expected profit of each firm increases with the variance of its production costs. We also show that the expected price of each good increases with both expected production costs, being the effect of the expected production costs of the rival dominated by the effect of the own expected production costs.

Análise da estrutura e da função da proteína morfogenética RodZ de Bacillus subtilis

Resumo: RodZ é um componente do sistema morfogenético das células bacterianas. É uma proteína transmembranar que localiza em bandas ao longo do eixo longitudinal da célula. Em Bacillus subtilis, RodZ consiste numa porção citoplasmática, RodZn, e em uma parte extra-citoplasmática, RodZc. RodZn contém um domínio em helixturn- helix (HTH), enquanto que RodZc pode ser dividido num domínio coiled-coil e num domínio terminal C, de função desconhecida. Um segmento transmembranar (TM) único separa RodZn de RodZc. A eliminação de rodZ causa alongamento do nucleóide e leva à produção de células polares nucleadas. Aqui, mostramos que RodZn é estruturado, estável e em hélice α. Descobrimos que as substituições Y32A e L33A na suposta hélice de reconhecimento (3) do motivo HTH, bem como as substituições Y49A e F53A, fora do motivo HTH (4), causam divisão assimétrica, mas apenas as últimas levam à deslocalização sub-celular de RodZ. Sugerimos que as hélices 3 e 4 são utilizadas para uma interacção proteína-proteína ou proteína- DNA essencial para divisão celular enquanto que 4 deve contactar um componente do citosqueleto, possivelmente MreB, uma vez que a correcta localização sub-celular de RodZ depende desta proteína. Em todos os mutantes as células polares são anucleadas, pelo que concluímos que o alongamento do nucleóide não é um prérequisito para divisão assimétrica. RodZc é largamente não estruturado mas com conteúdo de folha , sendo estabilizado pelo domínio coiled-coil. Mostramos uma relação homóloga entre RodZc e a bomba de transporte Na+/Ca2+ NCX1 e identificámos dois resíduos no domínio C, G265 e N275, essenciais para a manutenção da forma celular. Estes resíduos fazem parte de um motivo em gancho que pode actuar como um local de interacção com um ligando desconhecido. RodZn e RodZc são monoméricos em solução. Contudo, na membrana, RodZ interage consigo própria num sistema de dois híbridos (Split-Ubiquitin) em levedura, sugerindo que possa formar multímeros in vivo.-----------ABSTRACT: RodZ is a transmembrane component of the bacterial core morphogenic apparatus. RodZ localizes in bands long the longitudinal axis of the cell, and it is though to functionally link the cell wall to the actin cytoskeleton. In Bacillus subtilis, RodZ consists of a cytoplasmic moiety, RodZn, and an extracytoplasmic moiety, RodZc. RodZn contains a predicted helix-turn-helix domain, whereas RodZc is thought to contain a coiled-coil region and a terminal C domain of unknown function. A single transmembrane domain separates RodZn from RodZc. Deletion of rodZ causes elongation of the nucleoid and leads to the production of polar minicells containing DNA. Here, we have studied the structure and function of RodZn and RodZc. We show that RodZn is a stable, folded, -helical domain. We discovered that the Y32A and L33A substitutions within the presumptive recognition helix (3) of the HTH motif, as well as the Y49A and F53A substitutions outside of the HTH motif (in 4) cause asymmetric cell division. However, only the substitutions in 4 cause sub-celular delocalization of RodZ. We suggest that 3 and 4 are used for a protein-protein or protein-DNA interaction important for cell division, whereas 4 is likely to contact a cytoskeletal component, presumably MreB. The polar cells formed by all the mutants are anucleate. We conclude that nucleoid elongation is not a prerequisite for asymmetric division. RodZc appears to be a largely unstructured domain, with some -sheet content, and is stabilized by the coiled-coil region. We show a homology relationship between RodZc and the NCX1 Na+/Ca2+ transporter and we found two residues within the C domain, G265 and N275, that are important for cell shape determination. These residues are predicted to be essential determinants of a claw-like motif, which may act as a binding site for an unknown ligand. Both the isolated RodZn and RodZc proteins are monomeric in solution. However, because full-length RodZ interacts with itself in a split-ubiquitin yeast two-hybrid assay, we suggest that it may dimerize or form higher order multimers in vivo.

Symmetry-out asymmetry-in: the role of DMRT2

Dissertation presented to obtain the PhD degree in Biology

Crystal structure of the zinc-, cobalt-, and iron-containing adenylate kinase from Desulfovibrio gigas: a novel metal-containing adenylate kinase from Gram-negative bacteria

J Biol Inorg Chem (2011) 16:51–61 DOI 10.1007/s00775-010-0700-8

The first crystal structure of class III superoxide reductase from Treponema pallidum

J Biol Inorg Chem (2006) 11: 548–558 DOI 10.1007/s00775-006-0104-y

Dividend policy and market asymmetries

A Work Project, presented as part of the requirements for the Award of a Masters Degree in Finance from the NOVA – School of Business and Economics

Inflammatory Pseudotumor of the Urinary Bladder

We report a case of an inflammatory pseudotumor of the urinary bladder in a 31 year-old woman. She presented at the emergency room with low abdominal pain and urinary symptoms. Abdominal ultrasound, computed tomography and magnetic resonance imaging were performed and revealed asymmetric thickening of the urinary bladder wall. Cystoscopy with urinary cytology revealed a benign nature of the process. The patient underwent partial cystectomy and the pathologic examination of the specimen revealed an inflammatory pseudotumor. We reviewed the clinical, imaging and pathological features of the inflammatory pseudotumor of the urinary bladder and discussed its differential diagnosis.

Study of multi-component systems in polybenzimidazole membrane formation and their impact on membrane performance

Dissertação para obtenção do Grau de Mestre em Engenharia Química e Bioquímica

Molecular tools to dissect the role of Dmrt2a and Dmrt2b in the left-right axis formation in zebrafish

Dissertação para obtenção do Grau de Mestre em Genética Molecular e Biomedicina

Dual track sell-out: Signaling through IPO and Underpricing

A Work Project, presented as part of the requirements for the Award of a Masters Degree in Finance from the NOVA – School of Business and Economics

Making sense of the experimental evidence on endogenous timing in duopoly markets

The prediction of asymmetric equilibria with Stackelberg outcomes is clearly the most frequent result in the endogenous timing literature. Several experiments have tried to validate this prediction empirically, but failed to find support for it. By contrast, the experiments find that simultaneous-move outcomes are modal and that behavior in endogenous timing games is quite heterogeneous. This paper generalizes Saloner’s (1987) and Hamilton and Slutsky’s (1990) endogenous timing games by assuming that players are averse to inequality in payoffs. We explore the theoretical implications of inequity aversion and compare them to the empirical evidence. We find that this explanation is able to organize most of the experimental evidence on endogenous timing games. However, inequity aversion is not able to explain delay in Hamilton and Slutsky’s endogenous timing games.

Reciprocity, inequity aversion, and oligopolistic competition

This paper studies how reciprocity and inequity aversion influence the behavior of firms in imperfectly competitive markets. The paper shows that if reciprocal firms compete à la Cournot, then they are able to sustain “collusive” outcomes under a positive reciprocity equilibrium. By contrast, Stackelberg warfare outcomes may emerge under a negative reciprocity equilibrium. The results for inequity aversion are similar. Cournot competition between inequity averse firms can be harmful to consumers if it leads to equilibria where firms feel compassion toward each other. However, in equilibria where inequity averse firms are envious of each other consumers are better off than if firms were selfish. The paper also shows that only under very restrictive conditions does reciprocity or inequity aversion have an impact on Bertrand competition. Finally, the paper shows that non-selfish preferences have a greater impact on equilibrium outcomes in markets with a small number of firms.

Using cilia mutants to study left-right asymmetry in zebrafish

A thesis submitted in fulfillment of the requirements for the degree of the Masters in Molecular Genetics and Biomedicine

Development of novel ionic liquids based on biological molecules

Ionic Liquids (ILs) belong to a class of compounds with unusual properties: very low vapour pressure; high chemical and thermal stability and the ability to dissolve a wide range of substances. A new field in research is evaluating the possibility to use natural chiral biomolecules for the preparation of chiral ionic liquids (CILs). This important challenge in synthetic chemistry can open new avenues of research in order to avoid some problems related with the intrinsic biodegradability and toxicity associated to conventional ILs. The research work developed aimed for the synthesis of CILs, their characterization and possible applications, based on biological moieties used either as chiral cations or anions, depending on the synthetic manipulation of the derivatives. Overall, a total of 28 organic salts, including CILs were synthesized: 9 based on L-cysteine derivatives, 12 based on L-proline, 3 based on nucleosides and 4 based on nucleotides. All these new CILs were completely characterized and their chemical and physical properties were evaluated. Some CILs based on L-cysteine have been applied for discrimination processes, including resolution of racemates and as a chiral catalyst for asymmetric Aldol condensation. L-proline derived CILs were also studied as chiral catalysts for Michael reaction. In parallel, the interactions of macrocyclic oligosugars called cyclodextrins (CDs) with several ILs were studied. It was possible to improve the solubility of CDs in water and serum. Additionally, fatty acids and steroids showed an increase in water solubility when ILs-CDs systems were used. The development of efficient and selective ILs-CDs systems is indispensable to expand the range of their applications in host-guest interactions, drug delivery systems or catalytic reactions. Novel salts derived from nucleobases were used in order to enhance the fluorescence in aqueous solution. Additionally, preliminary studies regarding ethyl lactate as an alternative solvent for asymmetric organocatalysis were performed.

Evaluation of the welfare impact of regulating mobile termination rates in Portugal

Following the European Commission’s 2009 Recommendation on the Regulatory Treatment of Fixed and Mobile Termination Rates in the EU, the Portuguese regulatory authority (ANACOM) decided to reduce termination prices in mobile networks to their long-run incremental cost (LRIC). Nevertheless, no serious quantitative assessment of the potential effects of this decision was carried out. In this paper, we adapt and calibrate the Harbord and Hoernig (2014) model of the UK mobile telephony market to the Portuguese reality, and simulate the likely impact on consumer surplus, profits and welfare of four different regulatory approaches: pure LRIC, reciprocal termination charges with fixed networks, “bill & keep”, and asymmetric termination rates. Our results show that reducing MTRs does increase social welfare, profits and consumer surplus in the fixed market, but mobile subscribers are seriously harmed by this decision.