Emergence of Cooperation in Heterogeneous Population: A Discrete-Time Replicator Dynamics Analysis

The emergence of cooperation is analyzed in heterogeneous populations where individuals can be classified in two groups according to their phenotypic appearance. Phenotype recognition is assumed for all individuals: individuals are able to identify the type of every other individual, but fail to recognize their own type, and thus behave under partial information conditions. The interactions between individuals are described by 2 × 2 symmetric games where individuals can either cooperate or defect. The evolution of such populations is studied in the framework of evolutionary game by means of the replicator dynamics. Overlapping generations are considered, so the replicator equations are formulated in discrete-time form. The well-posedness conditions of the system are derived. Depending on the parameters of the game, a restriction may exist for the generation length. The stability analysis of the dynamical system is carried out and a detailed description of the behavior of trajectories starting from the interior of the state-space is given. We find that, provided the conditions of well-posedness are verified, the linear stability of monomorphic states in the discrete-time replicator coincides with the one of the continuous case. Specific from the discrete-time case, a relaxed restriction for the generation length is derived, for which larger time-steps can be used without compromising the well-posedness of the replicator system.

Kalman Filtering in R

Support in R for state space estimation via Kalman filtering was limited to one package, until fairly recently. In the last five years, the situation has changed with no less than four additional packages offering general implementations of the Kalman filter, including in some cases smoothing, simulation smoothing and other functionality. This paper reviews some of the offerings in R to help the prospective user to make an informed choice.

Raumfigurationen und Macht in Atemschaukel

[EN] Atemschaukel approaches the falling apart and survival in a historically loaded space, such as a labour camp. This novel offers a relevant research field for the space analysis, focused from the perspective of the Spatial Turn, as not only this theoretical frame but also Herta Müller herself conceive of space as a process, unterstood as a reciprocal interaction with the social practice, thus as a spatial and social construct. The representation of space in Atemschaukel is described in this article as a “swinging movement between boxes and abyss”, where the discourse of Leopold Auberg’s memories oscillates between closed and square spaces, on one hand, and open and giddy spaces, on the other hand. In this oscillating movement it is the open spaces that will most clearly show the process of inner destruction of the subject in such oppressive situations as on labour camps, as well as the permanent damages of deportation.