Modelling of Spatial Evolutionary Games

Student: Zinnurov Bulat

Supervisor: Evgeny Burovskiy

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics (Bachelor)

Final Grade: 8

Year of Graduation: 2019

We study a spatially extended evolutionary game, based on the Prisoner’s dilemma on square and triangular lattices. The work consists of two parts. In the first part, we investigate the behavior of the game in various regimes on a triangular lattice. Next, we observe the “lattice animals” that are obtained during the investigation of the game field. The findings illustrate periodic fluctuations of the components density depending on the game parameters. In the second part, we simulate a square lattice game with disorder. As a result, disorder changes game regimes. Moreover, with a sufficiently large degree of disorder, the regimes on the square lattice become the same as on the triangular one.

Full text (added May 26, 2019)

Student Theses at HSE must be completed in accordance with the University Rules and regulations specified by each educational programme.

Summaries of all theses must be published and made freely available on the HSE website.

The full text of a thesis can be published in open access on the HSE website only if the authoring student (copyright holder) agrees, or, if the thesis was written by a team of students, if all the co-authors (copyright holders) agree. After a thesis is published on the HSE website, it obtains the status of an online publication.

Student theses are objects of copyright and their use is subject to limitations in accordance with the Russian Federation’s law on intellectual property.

In the event that a thesis is quoted or otherwise used, reference to the author’s name and the source of quotation is required.

Search all student theses