3 papers
math.DS2026
Adaptive dynamics of alternating Prisoner's Dilemma with memory N
Nataliya A. Balabanova, Hong Duong, Christian Hilbe
The Prisoner's Dilemma is used as a model in processes involving reciprocity; however, its classical setup can be insufficient in settings where the symmetry of the simultaneous de…
math.DS2023
A note on the geometry of the two-body problem on
Alessandro Arsie, Nataliya A. Balabanova
Leveraging on the results of arXiv:2210.13644 , we carry out an investigation of the algebraic three-fold , the common level set of the Hamiltonian and the Casimir, for th…
math.DS2022
A Hamiltonian approach for point vortices on non-orientable surfaces II: the Klein bottle
Nataliya A. Balabanova
This is the second of two companion papers dedicated to the investigation of vortex motion on non-orientable surfaces. The first paper of the pair is predominantly concerned with e…