For more information about this meeting, contact Christopher Byrne, Andrew Belmonte.
|Title:||Imitation Dynamics of Altruists and Egoists in an Overlapping Neighborhood Local Interaction Network Model|
|Seminar:||Game Theory Seminar|
|Speaker:||Kyle Wray, Depts of Mathematics, Computer Science and Applied Research Laboratory, PSU|
|An overlapping neighborhoods local interaction network model with imitation learning dynamics is presented in which the local of interaction of neighbors is to engage in Prisoner’s Dilemma games with one another. Karl Sigmund, Avner Shaked et al, published a thorough characterization of 1-dimensional networks (integral points on lines and circles) but had stalled exploring 2-dimensional networks, specifically the torus Zn x Zn , the direct extension of the circles Zn they had cataloged. We replaced the torus with the geodesic dome as a 2-dimensional network more closely resembling the globe, though not entirely regular, and in subsequent research have begun dropping the regularity condition altogether to begin cataloging local neighborhood patterns of interaction. We also consider 4 related learning rules with subtle but important differences. In this talk I will present the global model, the learning rules, and patterns of convergence observed in numerous simulation trials. I will also show proofs of a few local neighborhood dynamic patterns and two global patterns that we have proven. We are far from proving all of the observed dynamics, but I will show visualizations created with openGL, in an effort to gain insight into the dynamics.|
Room Reservation Information
|Date:||11 / 15 / 2012|
|Time:||01:00pm - 02:00pm|