A Roman dominating function on a graph G = (V,E) is a function f : V −→ {0, 1, 2} satisfying the condition that every vertex v for which f(v) = 0 is adjacent to at least one vertex u for which f(u) = 2. The weight of a Roman dominating function is the value w(f) = ∑ v∈V f(v). The Roman domination number of a graph G, denoted by γR(G), equals the minimum weight of a Roman dominating function on ...

We analyze a one-shot experiment on the traveler’s dilemma in which members of the Game Theory Society, were asked to submit both a (possibly mixed) strategy and their belief concerning the average strategy of their opponents. Very few entrants expect and play the unique Nash equilibrium, while we observe a fifth playing the cooperative solution of the game, i. e. a strictly dominated strategy....

In this paper, we present our research on left hand gesture acquisition and analysis in guitar performances. The main goal of our research is the study of expressiveness. Here, we focus on a detection model for the left hand fingering based on gesture information. We use a capacitive sensor to capture fingering positions and we look for a prototypical description of the most common fingering po...

Strategic games may exhibit symmetries in a variety of ways. A common aspect, enabling the compact representation of games even when the number of players is unbounded, is that players cannot, or need not, distinguish between the other players. We investigate the computational complexity of pure Nash equilibria in four classes of symmetric games obtained by considering two additional properties...

Affect is important in motivated performance situations such as negotiation. Longstanding theories of emotion suggest that facial expressions provide enough information to perceive another person’s internal affective state. Alternatively, the contextual emotion hypothesis posits that situational factors bias the perception of emotion in others’ facial displays. This hypothesis predicts that ind...

We found that a network-organized metapopulation of cooperators, defectors, and destructive agents playing the public goods game with mutations can collectively reach global synchronization or chimera states. Global synchronization is accompanied by a collective periodic burst of cooperation, whereas chimera states reflect the tendency of the networked metapopulation to be fragmented in cluster...

The mathematical formalisms for classical and quantum physics look nothing alike. This is surely one reason why physics students find it difficult to learn quantum mechanics. It is surely also one of the reasons why QM fascinates philosophers — because its formalism seems to resist comparison with the formalism of classical physics. Our goal: We want to overcome this situation of apparent Kuhni...

Are people willing to gamble more for themselves than what they deem reasonable for others? We addressed this question in a simplified computer gambling task in which subjects chose from a set of 10 cards. Subjects selected one card at a time after being instructed that 9 cards were good (win a dollar per card) and one was really bad (lose all the money and end the game). Subjects could stop pl...