Interactive Epistemology and Reasoning: On the Foundations of Game Theory

Game theory describes and analyzes strategic interaction. It is usually distinguished between static games, which are strategic situations in which the players choose only once as well as simultaneously, and dynamic games, which are strategic situations involving sequential choices. In addition, dynamic games can be further classified according to perfect and imperfect information. Indeed, a dynamic game is said to exhibit perfect information, whenever at any point of the game every player has full informational access to all choices that have been conducted so far. However, in the case of imperfect information some players are not fully informed about some choices. Game-theoretic analysis proceeds in two steps. Firstly, games are modelled by so-called form structures which extract and formalize the significant parts of the underlying strategic interaction. The basic and most commonly used models of games are the normal form, which rather sparsely describes a game merely in terms of the players' strategy sets and utilities, and the extensive form, which models a game in a more detailed way as a tree. In fact, it is standard to formalize static games with the normal form and dynamic games with the extensive form. Secondly, solution concepts are developed to solve models of games in the sense of identifying the choices that should be taken by rational players. Indeed, the ultimate objective of the classical approach to game theory, which is of normative character, is the development of a solution concept that is capable of identifying a unique choice for every player in an arbitrary game. However, given the large variety of games, it is not at all certain whether it is possible to device a solution concept with such universal capability. Alternatively, interactive epistemology provides an epistemic approach to game theory of descriptive character. This rather recent discipline analyzes the relation between knowledge, belief and choice of game-playing agents in an epistemic framework. The description of the players' choices in a given game relative to various epistemic assumptions constitutes the fundamental problem addressed by an epistemic approach to game theory. In a general sense, the objective of interactive epistemology consists in characterizing existing game-theoretic solution concepts in terms of epistemic assumptions as well as in proposing novel solution concepts by studying the game-theoretic implications of refined or new epistemic hypotheses. Intuitively, an epistemic model of a game can be interpreted as representing the reasoning of the players. Indeed, before making a decision in a game, the players reason about the game and their respective opponents, given their knowledge and beliefs. Precisely these epistemic mental states on which players base their decisions are explicitly expressible in an epistemic framework. In this PhD thesis, we consider an epistemic approach to game theory from a foundational point of view. In Chapter 1, basic game-theoretic notions as well as Aumann's epistemic framework for games are expounded and illustrated. Also, Aumann's sufficient conditions for backward induction are presented and his conceptual views discussed. In Chapter 2, Aumann's interactive epistemology is conceptually analyzed. In Chapter 3, which is based on joint work with Conrad Heilmann, a three-stage account for dynamic games is introduced and a type-based epistemic model is extended with a notion of agent connectedness. Then, sufficient conditions for backward induction are derived. In Chapter 4, which is based on joint work with Jérémie Cabessa, a topological approach to interactive epistemology is initiated. In particular, the epistemic-topological operator limit knowledge is defined and some implications for games considered. In Chapter 5, which is based on joint work with Jérémie Cabessa and Andrés Perea, Aumann's impossibility theorem on agreeing to disagree is revisited and weakened in the sense that possible contexts are provided in which agents can indeed agree to disagree.

Detection of nandrolone metabolites in urine after a football game in professional and amateur players: a Bayesian comparison.

Nandrolone (19-nortestosterone) is a widely used anabolic steroid in sports where strength plays an essential role. Once nandrolone has been metabolised, two major metabolites are excreted in urine, 19-norandrosterone (NA) and 19-noretiocholanolone (NE). In 1997, in France, quite a few sportsmen had concentrations of 19-norandrosterone very close to the IOC cut off limit (2ng/ml). At that time, a debate took place about the capability of the human male body to produce by itself these metabolites without any intake of nandrolone or related compounds. The International Football Federation (FIFA) was very concerned with this problematic, especially because the World Cup was about to start in France. In this respect, a statistical study was held with all football players from the first and second divisions of the Swiss Football National League. All players gave a urine sample after effort and around 6% of them showed traces of 19-norandrosterone. These results were compared with amateur football players (control group) and around 6% of them had very small amounts of 19-norandrosterone and/or 19-noretiocholanolone in urine after effort, whereas none of them had detectable traces of one or the other metabolite before effort. The origin of these compounds in urine after a strenuous physical activity is still unknown, but three hypotheses can be put forward. First, an endogenous production of nandrolone metabolites takes place. Second, nandrolone metabolites are released from the fatty tissues after an intake of nandrolone, some related compounds or some contaminated nutritive supplements. Finally, the sportsmen may have taken something during or just before the football game.

DNA degradation in avian faecal samples and feasibility of non-invasive genetic studies applied to threatened capercaillie populations

We evaluated the feasibility of using faeces as a non-invasively collected DNA source for the genetic study of an endangered bird population (capercaillie; Tetrao urogallus). We used a multitube approach, and for our panel of 11 microsatellites genotyping reliability was estimated at 98% with five repetitions. Experiments showed that free DNases in faecal material were the major cause of DNA degradation. Our results demonstrate that using avian faeces as a source of DNA, reliable microsatellite genotyping can be obtained with a reasonable number of PCR replicates.

La gestion des services environnementaux: entre règles et régulation négociée. Six études de cas de services forestiers pour la production d'eau potable dans trois pays

Cette thèse est construite en quatre parties : trois annexes qui présentent six études de cas (env. 800 pages), précédées par une analyse transversale, plus synthétique (env. 150 pages), dont traite ce résumé. Chaque annexe contient une synthèse détaillée des études de cas. Cette thèse aborde la « gestion des ressources naturelles » en affirmant d'emblée que l'appellation est inappropriée, car ce ne sont pas les ressources qui sont gérées, mais leurs usages. Il s'agit donc d'identifier et d'analyser ce qui influence les comportements humains en lien avec la ressource. Cette affirmation fonde la perspective des sciences sociales sur la gestion des ressources naturelles, dans laquelle s'inscrit cette thèse. L'approche néo-institutionnaliste considère que les usages sont influencés par des institutions, qui sont elles-mêmes influencées par les usagers. Ces institutions sont des constructions humaines qui composent le contexte institutionnel dans lequel les acteurs décident de leurs usages (abattre un arbre, prélever de l'eau, etc.). Les usages des ressources ne sont donc jamais libres et il s'agit de comprendre comment ces règles du jeu influencent les pratiques. Elles sont nombreuses, interdépendantes et forment la trame sur laquelle se décident les usages. Pour saisir cette complexité, l'auteur applique le cadre d'analyse des régimes institutionnels des ressources (RIR) qui se limite à l'analyse de deux types de droits d'usages : ceux issues des règles de la propriété (titres de propriété, servitudes, etc.) et ceux issus des politiques publiques (lois, ordonnances, etc.). Le RIR permet d'identifier un « régime institutionnel », spécifique à la ressource étudiée, dont les évolutions peuvent être comparées dans le temps ou entre plusieurs lieux. Dans cette recherche, ce cadre d'analyse a été appliqué au même objet - la gestion forestière dans les zones de captage d'eau souterraine destinée au réseau public - dans trois pays : en France, en Suisse et en Indonésie. Trois années de recherche de terrain ont permis à l'auteur de s'intéresser non seulement aux règles prédéterminées (la réglementation), mais aussi aux règles effectivement activées sur le terrain (la régulation) par les acteurs rencontrés. Les études de cas montrent que les règles prévues sont inégalement activées et que les acteurs privilégient parfois la négociation directe pour résoudre leurs rivalités d'usages, à la place d'invoquer leurs droits acquis. Ce constat conduit l'auteur à proposer un élargissement de la focale du RIR, qui constitue le coeur de sa thèse. On ne s'intéresse plus seulement à ce qui « est » régulé, mais aussi à ce qui ne l'« est pas » et qui échappe à l'application classique du RIR. Ce renversement de perspective est crucial pour comprendre les usages concrets des ressources dans les régimes peu intégrés, où les pratiques s'expliquent davantage par la marge de manoeuvre laissée aux acteurs que par les règles prédéterminées. Cette relecture, testée avec succès dans cette thèse, permet d'intégrer la marge de manoeuvre à l'analyse au moyen du RIR. Elle se concrétise par l'identification des lacunes et incohérences dans les régimes institutionnels étudiés. Le champ d'application du RIR s'en trouve élargi et sa vulgarisation pour des non-spécialistes est facilitée, notamment pour les environnementalistes. La complémentarité entre les approches s'en trouve renforcée. Les résultats montrent deux choses : premièrement les acteurs disposent toujours d'une marge de manoeuvre pour négocier des régulations ponctuelles, qui sont autant d'alternatives à l'application des règles prévues. Deuxièmement, la conclusion d'accords issus de la négociation bi-/multilatérale dépend directement de la marge de manoeuvre laissée par le contexte institutionnel. Ceci explique pourquoi la négociation entre les propriétaires forestiers et les exploitants de captages s'imposent en Indonésie, est envisageable en France, mais n'aboutit pas en Suisse. Les nombreuses tentatives infructueuses de mise en oeuvre de solutions négociées, notamment sous forme de paiements pour services environnementaux (PSE), trouvent ici une explication. - This thesis (written in French) is built in four parts: three annexes that present six case studies (approx. 800 pages), preceded by a transverse, more conceptual analysis (approx. 150 pages), which this summary is about. Each annexe contains a detailed summary of the case studies. 'Natural resource management' is an inappropriate designation because it is not the resources that are managed but the uses made of them, therefore this thesis addresses the identification and analysis of the influences on human behaviour in relation to the resource. This statement roots the social sciences perspective on the management of natural resources, in which this thesis fits. A neoinstitutionalist approach considers that the uses are influenced by institutions, which are themselves influenced by users. These institutions are human constructions that form the institutional context in which the actors decide on the use of resources (felling a tree, collecting water, etc.). Thus, the uses of resources are never independent from institutional influences and it becomes necessary to understand how these rules of the game affect practices. They are numerous, interrelated and form the basis for the uses of resources. To understand this complexity, the author applies the institutional regime resource framework (IRR) which limits the analysis to two types of use rights: those resulting from the property rights (deeds, easements, etc.) and those from public policies (laws, ordinances, etc.). The IRR identifies an 'institutional regime', specific to the resource, from which developments can be compared over time or between several places. In this research, this analytical framework has been applied to the same topic - forest management in the recharging areas of groundwater piped for public supply - in three countries: France, Switzerland and Indonesia. Three years of field research allow the author to look not only at predetermined rules (rules), but also at regulations that are actually activated on the ground (rules-in-use). The case studies show that the predetermined rules are unevenly applied and that sometimes actors favour direct negotiation to resolve their rivalry of uses, instead of invoking their vested rights. From this observation the author proposes an enlargement of the IRR's scope, forming the core of his thesis. The interest covers not only what 'is' regulated, but what 'is not' and so is beyond the classical application of the IRR. This shift in perspective is crucial to understand the concrete uses of resources in poorly integrated regimes, where practices are explained by the margin of manoeuvre left to the actors rather than predetermined rules. This reinterpretation, tested successfully in this research, allows the margin of manoeuvre to be integrated in the analysis using the IRR and is made concrete by the identification of gaps and inconsistencies in the investigated institutional context. The new interpretation of the IRR in this thesis complements and enhances its classical application. In particular, its use and understanding by non-specialists, especially environmentalists, is facilitated. The results show two things: first the actors always have leeway to negotiate ad hoc regulations, which are alternatives to the application of the predefined rules. Second, the conclusion of bi/multilateral negotiated agreements depends directly on the leeway left by the institutional context. This explains why the negotiation between forest owners and operators of water catchments is needed in Indonesia, is possible in France, but does not succeed in Switzerland. This offers an explanation for many unsuccessful attempts to implement negotiated solutions, notably payments for environmental services (PES).

"Michael's Game," a card game for the treatment of psychotic symptoms.

Objective: "Michael's Game" is a card game which aims at familiarizing healthcare professionals and patients with cognitive therapy of psychotic symptoms. The present study tests the feasibility and the impact of the intervention in naturalistic settings.Methods: 135 patients were recruited in 11 centres. They were assessed pre- and post-tests with the Beck Cognitive Insight Scale (BCIS) and the Peters Delusion Inventory-21 items (PDI-21).Results: Data about 107 patients were included in the entire analyses. Significant improvements were observed on BCIS subscales as well as a reduction of severity of conviction and preoccupation scores on the PDI-21. The intervention has a moderate effect on the PDI-21 preoccupation and conviction as well as the BCIS subscales. Patients who benefit the most from the program are patients who have a low degree of self-reflectiveness and patients who are concomitantly preoccupied by their symptoms.Conclusion: The present study supports the feasibility and effectiveness of "Michael's Game" in naturalistic settings.Practical implications: The game seems to be a useful tool for patients with psychotic disorders. (C) 2010 Elsevier Ireland Ltd. All rights reserved.

Multiple imputations applied to the DREAM3 phosphoproteomics challenge: a winning strategy.

DREAM is an initiative that allows researchers to assess how well their methods or approaches can describe and predict networks of interacting molecules [1]. Each year, recently acquired datasets are released to predictors ahead of publication. Researchers typically have about three months to predict the masked data or network of interactions, using any predictive method. Predictions are assessed prior to an annual conference where the best predictions are unveiled and discussed. Here we present the strategy we used to make a winning prediction for the DREAM3 phosphoproteomics challenge. We used Amelia II, a multiple imputation software method developed by Gary King, James Honaker and Matthew Blackwell[2] in the context of social sciences to predict the 476 out of 4624 measurements that had been masked for the challenge. To chose the best possible multiple imputation parameters to apply for the challenge, we evaluated how transforming the data and varying the imputation parameters affected the ability to predict additionally masked data. We discuss the accuracy of our findings and show that multiple imputations applied to this dataset is a powerful method to accurately estimate the missing data. We postulate that multiple imputations methods might become an integral part of experimental design as a mean to achieve cost savings in experimental design or to increase the quantity of samples that could be handled for a given cost.

Geometry and physics of catenanes applied to the study of DNA replication.

The concept of ideal geometric configurations was recently applied to the classification and characterization of various knots. Different knots in their ideal form (i.e., the one requiring the shortest length of a constant-diameter tube to form a given knot) were shown to have an overall compactness proportional to the time-averaged compactness of thermally agitated knotted polymers forming corresponding knots. This was useful for predicting the relative speed of electrophoretic migration of different DNA knots. Here we characterize the ideal geometric configurations of catenanes (called links by mathematicians), i.e., closed curves in space that are topologically linked to each other. We demonstrate that the ideal configurations of different catenanes show interrelations very similar to those observed in the ideal configurations of knots. By analyzing literature data on electrophoretic separations of the torus-type of DNA catenanes with increasing complexity, we observed that their electrophoretic migration is roughly proportional to the overall compactness of ideal representations of the corresponding catenanes. This correlation does not apply, however, to electrophoretic migration of certain replication intermediates, believed up to now to represent the simplest torus-type catenanes. We propose, therefore, that freshly replicated circular DNA molecules, in addition to forming regular catenanes, may also form hemicatenanes.

Une nouvelle situation pour évaluer le fonctionnement familial: le jeu du pique-nique = A new situation to evaluate a family system's fuctioning: the picnic game.

Cet article présente une nouvelle situation, le Jeu du Pique-Nique, qui permet l'évaluation du fonctionnement familial, pris dans son ensemble, quel que soit le nombre d'enfants, âgés de quelques semaines à une douzaine d'années. L'évaluation est macroscopique, selon différentes dimensions comme le coparentage, la chaleur familiale, la dimension ludique, l'autonomie des enfants, etc. Pour illustrer la richesse des observations qu'offre cette situation, les jeux de trois familles contrastées sont présentés ainsi que leur codage. L'utilité en recherche ainsi qu'en clinique, et en particulier l'apport de la vision du film avec la famille, est discutée.