Download the necessary software in advance to access the seminar.
This seminar will be available through the zoom application https://zoom.us/j/97560602629?pwd=OFd6bnRhU2JiMDM3cTc1N09FcXM4Zz09
Alternatively you can access the Zoom meeting with the following credentials:
Meeting ID: 975 6060 2629
We study the evolution of cooperation as a birth-death process in spatially extended populations. The benefit from the altruistic behavior of a cooperator is implemented by decreasing the death rate of its direct neighbours. The cost of cooperation is the increase of a cooperator's death rate proportional to the number of its neighbors. For any benefit-cost ratio above 1, the stable stationary concentrations of agents pass through four regimes as the baseline death rate p increases: (i) defection only, (ii) coexistence, (iii) cooperation only, (iv) extinction. We investigate the transitions between these regimes. Qualitatively identical phase diagrams are obtained for populations on square lattices and in pair approximation. Spatial correlations with nearest neighbours only are thus sufficient for sustained cooperation. These results are published as Klemm & Khalil, Physical Review Research 2, 013374 (2020).
Llorenç Serra 971 17 28 05 Contact form