Music and felt emotions: how systematic pitch level variations affect the experience of pleasantness and arousal

Pitch is a fundamental musical factor; however, findings about its contribution to the elicitation of emotions are contradictory. The purpose of this work was to assess the effect of systematic pitch variations on self-reports of felt valence and arousal. In a within-subject design, 49 subjects listened to four 1-minute classical piano excerpts, each presented at three different pitch levels (one octave lower than the original version, the original version and one octave higher than the original version). Compared to excerpts both without octave modification and in the +1 octave variant, pleasantness of excerpts in the -1 octave variant was significantly lower. This main effect was stronger for women than men and, importantly, was modulated by the specific characteristics of the stimuli. There was also a significant, yet smaller, negative relationship between pitch level and arousal, moderated by gender: Compared to higher pitch, lower pitch was associated with higher arousal in men only. Regarding the complex outcomes of this study, future studies should investigate to which extent our findings can be generalized to other musical works. The ultimate goal might be to demonstrate how pitch level interacts with other musical features and listeners' characteristics in eliciting diverse affective experiences.

Fitness, inclusive fitness, and optimization

Individual-as-maximizing agent analogies result in a simple understanding of the functioning of the biological world. Identifying the conditions under which individuals can be regarded as fitness maximizing agents is thus of considerable interest to biologists. Here, we compare different concepts of fitness maximization, and discuss within a single framework the relationship between Hamilton's (J Theor Biol 7: 1-16, 1964) model of social interactions, Grafen's (J Evol Biol 20: 1243-1254, 2007a) formal Darwinism project, and the idea of evolutionary stable strategies. We distinguish cases where phenotypic effects are additive separable or not, the latter not being covered by Grafen's analysis. In both cases it is possible to define a maximand, in the form of an objective function phi(z), whose argument is the phenotype of an individual and whose derivative is proportional to Hamilton's inclusive fitness effect. However, this maximand can be identified with the expression for fecundity or fitness only in the case of additive separable phenotypic effects, making individual-as-maximizing agent analogies unattractive (although formally correct) under general situations of social interactions. We also feel that there is an inconsistency in Grafen's characterization of the solution of his maximization program by use of inclusive fitness arguments. His results are in conflict with those on evolutionary stable strategies obtained by applying inclusive fitness theory, and can be repaired only by changing the definition of the problem.

Emergence of Cooperation on Static and Dynamic Networks

Game theory is a branch of applied mathematics used to analyze situation where two or more agents are interacting. Originally it was developed as a model for conflicts and collaborations between rational and intelligent individuals. Now it finds applications in social sciences, eco- nomics, biology (particularly evolutionary biology and ecology), engineering, political science, international relations, computer science, and philosophy. Networks are an abstract representation of interactions, dependencies or relationships. Net- works are extensively used in all the fields mentioned above and in many more. Many useful informations about a system can be discovered by analyzing the current state of a network representation of such system. In this work we will apply some of the methods of game theory to populations of agents that are interconnected. A population is in fact represented by a network of players where one can only interact with another if there is a connection between them. In the first part of this work we will show that the structure of the underlying network has a strong influence on the strategies that the players will decide to adopt to maximize their utility. We will then introduce a supplementary degree of freedom by allowing the structure of the population to be modified along the simulations. This modification allows the players to modify the structure of their environment to optimize the utility that they can obtain.

Value and Prices in Russian Economic Thought: A journey inside the Russian Synthesis, 1890-1920

This book explores Russian synthesis that occurred in Russian economic thought between 1890 and 1920. This includes all the attempts at synthesis between classical political economy and marginalism; the labour theory of value and marginal utility; and value and prices. The various ways in which Russian economists have approached these issues have generally been addressed in a piecemeal fashion in history of economic thought literature. This book returns to the primary sources in the Russian language, translating many into English for the first time, and offers the first comprehensive history of the Russian synthesis. The book first examines the origins of the Russian synthesis by determining the condition of reception in Russia of the various theories of value involved: the classical theories of value of Ricardo and Marx on one side; the marginalist theories of prices of Menger, Walras and Jevons on the other. It then reconstructs the three generations of the Russian synthesis: the first (Tugan-Baranovsky), the second, the mathematicians (Dmitriev, Bortkiewicz, Shaposhnikov, Slutsky, etc.) and the last (Yurovsky), with an emphasis on Tugan-Baranovsky's initial impetus. This volume is suitable for those studying economic theory and philosophy as well as those interested in the history of economic thought.

« L'esthétique du chant dans la piété calviniste aux premiers temps de la Réforme (1536-1545) »

Contrairement aux idées reçues, l'esthétique assume bien une fonction dans les formes rituelles adoptées par les Eglises issues de la Réforme calviniste. Mais il revient moins à l'image, considérée avant tout comme une source de distraction, qu'à la musique de porter cette dimension dans la piété réformée. Retraçant la formation de la pensée calvinienne sur la question des rapports entre culte et musique entre 1536 et 1543, cette étude montre comment le théologien en vient durant ces années à considérer que le chant des psaumes permet de concilier dans la dévotion, un processus cognitif, guidé par le sens des paroles, et un mouvement affectif, suscité par la mélodie. C'est, aux yeux de Calvin, de la jonction de ces deux dynamiques que naît l'élévation spirituelle à laquelle le culte doit conduire. Notwithstanding common belief, aesthetics had an important function in ritual forms implemented by Reformed Calvinist Churches. The impact of aesthetics on reformed piety rested less on images, considered to be a source of distraction, than on music. By reconsidering the evolution of Calvin's thoughts on the relationship between music and religious services between 1536 and 1543, this study reveals how Calvin came to consider that by singing the psalms, Christians could conciliate in prayer a cognitive process which was to be guided by both the meaning of the words and the emotions triggered by the tune. For Calvin, the spiritual elevation to which religious services should lead was to emerge from the conjunction of these two impetuses.