A Game-Theoretic Analysis of the Off-Switch Game

The off-switch game is a game theoretic model of a highly intelligent robot interacting with a human. In the original paper by Hadfield-Menell et al. (2016), the analysis is not fully game-theoretic as the human is modelled as an irrational player, and the robot's best action is only calculated under unrealistic normality and soft-max assumptions. In this paper, we make the analysis fully game theoretic, by modelling the human as a rational player with a random utility function. As a consequence, we are able to easily calculate the robot's best action for arbitrary belief and irrationality assumptions

Classification by decomposition: a novel approach to classification of symmetric 2×2 games

In this paper, we provide a detailed review of previous classifications of 2×2 games and suggest a mathematically simple way to classify the symmetric 2×2 games based on a decomposition of the payoff matrix into a cooperative and a zero-sum part. We argue that differences in the interaction between the parts is what makes games interesting in different ways. Our claim is supported by evolutionary computer experiments and findings in previous literature. In addition, we provide a method for using a stereographic projection to create a compact 2-d representation of the game space.Open access funding provided by Stockholm University

Klassificering genom dekomposition : En partitionering av mängden av symmetriska 2X2 spel

Game theory is the study of strategic interaction between rational agents. The need for understanding interaction arises in many different fields, such as: economics, psychology, philosophy, computer science and biology. The purpose of game theory is to analyse the outcomes and strategies of these interactions, in mathematical models called games. Some of these games have stood out from the rest, e.g. Prisoner's Dilemma, Chicken and Stag Hunt. These games, commonly referred to as the standard games, have attracted interest from many fields of research. In order to understand why these games are interesting and how they differ from each other and other games, many have attempted to sort games into interestingly different classes. In this thesis some already existing classifications are reviewed based on their mathematical structure and how well justified they are. Emphasis is put on mathematical simplicity because it makes the classification more generalisable to larger game spaces. From this review we conclude that none of the classifications captures both of these aspects. We therefore propose a classification of symmetric 2x2 games based on decomposition. We show that our proposed method captures everything that the previous classifications caputure. Our method arguably explains the interesting differences between the games, and we justify this claim by computer experiments. Moreover it has a simple mathematical structure. We also provide some results concerning the size of different game spaces

Expression profiling of small intestinal neuroendocrine tumors identifies subgroups with clinical relevance, prognostic markers and therapeutic targets.

We wanted to define the transcriptome of small intestinal neuroendocrine tumors in order to identify clinically relevant subgroups of tumors, prognostic markers and novel targets for treatment. Genome-wide expression profiling was conducted on tumor biopsies from 33 patients with well-differentiated neuroendocrine tumors of the distal ileum and metastatic disease at the time of diagnosis. Unsupervised hierarchical clustering analysis identified three groups of tumors. The largest group, comprising half of the tumors, was characterized by longer patient survival and higher expression of neuroendocrine markers, including SSTR2. Tumors with higher grade (G2/3) or gain of chromosome 14 were associated with shorter patient survival and increased expression of cell cycle-promoting genes. Pathway analysis predicted the prostaglandin E receptor 2 (PTGER2) as the most significantly activated regulator in tumors of higher grade, whereas Forkhead box M1 (FOXM1) was the most significantly activated regulator in tumors with gain of chromosome 14. Druggable genes identified from expression profiles included clinically proven SSTR2 and also novel targets, for example, receptor tyrosine kinases (RET, FGFR1/3, PDGFRB and FLT1), epigenetic regulators, molecular chaperones and signal transduction molecules. Evaluation of candidate drug targets on neuroendocrine tumors cells (GOT1) showed significant inhibition of tumor cell growth after treatment with tyrosine kinase inhibitors or inhibitors of HDAC, HSP90 and AKT. In conclusion, we have defined the transcriptome of small intestinal neuroendocrine tumors and identified novel subgroups with clinical relevance. We found specific gene expression patterns associated with tumor grade and chromosomal alterations. Our data also suggest novel prognostic biomarkers and therapies for these patients

Sanger traces from 4 tumor samples with somatic mutations G433C (pE145Q), G451A and G451C (pG151R) and T503G (pL168R) in <i>KCNJ5</i>.

<p>Sanger traces from 4 tumor samples with somatic mutations G433C (pE145Q), G451A and G451C (pG151R) and T503G (pL168R) in <i>KCNJ5</i>.</p

Heterogeneous immunoreactivity of KCNJ5 independent of mutational status.

<p><b>A</b>) Intense KCNJ5 reactivity in a 4 mm macronodule expressing only WT <i>KCNJ5</i>. <b>B</b>) Moderate KCNJ5 reactivity in a 19 mm large adenoma expressing L168R <i>KCNJ5</i>.</p

Comparison of different KCNJ5 orthologs.

<p>Complete conservation of substituted amino acid residues E145, G151 and L168 across multiple specimens, from Human to Tunicate.</p