Dynamics of Three Agent Games

We study the dynamics and resulting score distribution of three-agent games where after each competition a single agent wins and scores a point. A single competition is described by a triplet of numbers $p$, $t$ and $q$ denoting the probabilities that the team with the highest, middle or lowest accumulated score wins. We study the full family of solutions in the regime, where the number of agents and competitions is large, which can be regarded as a hydrodynamic limit. Depending on the parameter values $(p,q,t)$, we find six qualitatively different asymptotic score distributions and we also provide a qualitative understanding of these results. We checked our analytical results against numerical simulations of the microscopic model and find these to be in excellent agreement. The three agent game can be regarded as a social model where a player can be favored or disfavored for advancement, based on his/her accumulated score. It is also possible to decide the outcome of a three agent game through a mini tournament of two-a gent competitions among the participating players and it turns out that the resulting possible score distributions are a subset of those obtained for the general three agent-games. We discuss how one can add a steady and democratic decline rate to the model and present a simple geometric construction that allows one to write down the corresponding score evolution equations for $n$-agent games

Portfolio theory, utility theory and mate selection

International audienc

Restricted maximum likelihood estimation for animal models using derivatives of the likelihood

International audienc

Use of sparse matrix absorption in animal breeding

International audienc

Efficient selection rules to increase non-linear merit: application in mate selection

International audienc

A novel role for the TIR domain in association with pathogen-derived elicitors

Plant innate immunity is mediated by Resistance (R) proteins, which bear a striking resemblance to animal molecules of similar function. Tobacco N is a TIR-NB-LRR R gene that confers resistance to Tobacco mosaic virus, specifically the p50 helicase domain. An intriguing question is how plant R proteins recognize the presence of pathogen-derived Avirulence (Avr) elicitor proteins. We have used biochemical cell fraction and immunoprecipitation in addition to confocal fluorescence microscopy of living tissue to examine the association between N and p50. Surprisingly, both N and p50 are cytoplasmic and nuclear proteins, and N's nuclear localization is required for its function. We also demonstrate an in planta association between N and p50. Further, we show that N's TIR domain is critical for this association, and indeed, it alone can associate with p50. Our results differ from current models for plant innate immunity that propose detection is mediated solely through the LRR domains of these molecules. The data we present support an intricate process of pathogen elicitor recognition by R proteins involving multiple subcellular compartments and the formation of multiple protein complexes. © 2007 Burch-Smith et al

Genotypic covariance matrices and their inverses for models allowing dominance and inbreeding

International audienc

The landscape of psoriasis provision in the UK.

Psoriasis remains one of the commonest conditions seen in dermatological practice, and its treatment is one of the greatest cost burdens for the UK National Health Service. Treatment of psoriasis is complex, with numerous overlapping lines and therapies used in combination. This complexity reflects the underlying pathophysiology of the disease as well as the heterogeneous population that it affects. National Institute for Health and Care Excellence (NICE) guidance for the treatment of psoriasis has been available since 2013, and has been the subject of three national audits conducted by the British Association of Dermatologists. This report synthesizes the results of the most recent of those exercises and places it in the context of the NICE guidance and previous audits. It clearly shows the significant burden of disease, issues with provision of services and long waiting times and the marked shift in therapies towards targeted biologic therapies

Evaluation of test statistics in split-mouth clinical trials

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/65787/1/j.1600-0765.1988.tb01616.x.pd