Beyond myopic best response (in Cournot competition)

A Nash Equilibrium is a joint strategy profile at which each agent myopically plays a best response to the other agents' strategies, ignoring the possibility that deviating from the equilibrium could lead to an avalanche of successive changes by other agents. However, such changes could potentially be beneficial to the agent, creating incentive to act non-myopically, so as to take advantage of others' responses. To study this phenomenon, we consider a non-myopic Cournot competition, where each firm selects whether it wants to maximize profit (as in the classical Cournot competition) or to maximize revenue (by masquerading as a firm with zero production costs). The key observation is that profit may actually be higher when acting to maximize revenue, (1) which will depress market prices, (2) which will reduce the production of other firms, (3) which will gain market share for the revenue maximizing firm, (4) which will, overall, increase profits for the revenue maximizing firm. Implicit in this line of thought is that one might take other firms' responses into account when choosing a market strategy. The Nash Equilibria of the non-myopic Cournot competition capture this action/response issue appropriately, and this work is a step towards understanding the impact of such strategic manipulative play in markets. We study the properties of Nash Equilibria of non-myopic Cournot competition with linear demand functions and show existence of pure Nash Equilibria, that simple best response dynamics will produce such an equilibrium, and that for some natural dynamics this convergence is within linear time. This is in contrast to the well known fact that best response dynamics need not converge in the standard myopic Cournot competition. Furthermore, we compare the outcome of the non-myopic Cournot competition with that of the standard myopic Cournot competition. Not surprisingly, perhaps, prices in the non-myopic game are lower and the firms, in total, produce more and have a lower aggregate utility

Anomalies, Anomalous U(1)'s and generalized Chern-Simons terms

A detailed analysis of anomalous U(1)'s and their effective couplings is performed both in field theory and string theory. It is motivated by the possible relevance of such couplings in particle physics, as well as a potential signal distinguishing string theory from other UV options. The most general anomaly related effective action is analyzed and parameterized. It contains Stuckelberg, axionic and Chern-Simons-like couplings. It is shown that such couplings are generically non-trivial in orientifold string vacua and are not in general fixed by anomalies. A similar analysis in quantum field theories provides similar couplings. The trilinear gauge boson couplings are also calculated and their phenomenological relevance is advocated. We do not find qualitative differences between string and field theory in this sector.Comment: 52 pages, 2 eps figures, LaTeX, feynmf & youngtab packages (v2 - Minor corrections, references added

Adverse events following immunization and psychological distress among cancer patients/survivors following vaccination against SARS-CoV-2 infection

PurposeThis study aims to describe the adverse events following immunization (AEFIs) of SARS-CoV-2 vaccination in cancer patients/survivors associated with their psychological distress.MethodsA cross-sectional study was conducted to assess AEFIs after the receipt of SARS-CoV-2 vaccines in cancer patients/survivors attending a university hospital in Malaysia. Psychological distress was measured using the Hospital Anxiety and Depression Scale (HADS) before and after the first and second doses of COVID-19 vaccine.ResultsA total of 217 complete responses were received. Compared with before vaccination, both HADS Anxiety (HADS-A) and HADS Depression (HADS-D) scores were significantly reduced after the first and second dose of the SARS-CoV-2 vaccine. Most of the participants had mild-or-moderate systemic and local AEFIs, with the most common being pain at the injection site, tiredness, and headache for both the first and second doses of the vaccine. Positive correlations between the total AEFI score and HADS-A (r = 0.309, p < 0.001) and HADS-D (r = 0.214, p = 0.001) scores were observed after the first dose of the SARS-CoV-2 vaccine. Similarly, positive associations were observed between the total AEFI score and HADS-A (r = 0.305, p < 0.001) and HADS-D (r = 0.235, p < 0.001) scores after the second dose of the SARS-CoV-2 vaccine.ConclusionMild-to-moderate AEFIs found in this study help address vaccine hesitancy in cancer patients/survivors. Receiving the SARS-CoV-2 vaccine had a positive effect on decreasing psychological distress in cancer patients/survivors. High severity of an AEFI was associated with higher anxiety and depressive symptoms

The permeability of human eyelid skin to topically applied lidocaine

© 2019 Published by Elsevier B.V.This work investigated the permeability of lidocaine across human eyelid skin and compared this with published data for abdominal skin to understand the characteristics of this type of skin and whether topical anaesthesia for eyelid surgery may be feasible. Eyelid skin is thought to have a relatively high permeability to drugs, however how this compares to other body sites has not been previously quantified. Lidocaine solutions at pH 7.0 and 5.5 were applied to human eyelid skin mounted in Franz diffusion cells. Anatomical features of eyelid skin that may be linked to its increased permeability, superficial corneocyte area and stratum corneum (SC) thickness were measured using light microscopy. Steady-state fluxes of lidocaine at pH 7.0 and pH 5.5 were 283.9 and 41.0 μg/cm2/hr, 2.4 and 3.2 times greater respectively than literature values for abdominal skin. Superficial eyelid corneocyte area (800.5 μm2) was 35% smaller and the eyelid SC thickness (14.9 μm) was 31% thinner than reported abdominal skin values. These suggest that a shorter diffusional pathlength across the eyelid SC contributes to increased lidocaine permeability. The relatively high permeability of eyelid skin to lidocaine indicates considerable potential for achieving strong topical anaesthetic effects at this site.Peer reviewe