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master's thesis
Kooperativne evolucijske igre na mreži
Zagreb: University of Zagreb, Faculty of Science, 2017. urn:nbn:hr:217:616812
Fumić, Petar
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Fumić, P. (2017). Kooperativne evolucijske igre na mreži (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:616812

Fumić, Petar. "Kooperativne evolucijske igre na mreži." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:616812

Fumić, Petar. "Kooperativne evolucijske igre na mreži." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:616812

Fumić, P. (2017). 'Kooperativne evolucijske igre na mreži', Master's thesis, University of Zagreb, Faculty of Science, accessed 15 May 2024, https://urn.nsk.hr/urn:nbn:hr:217:616812

Fumić P. Kooperativne evolucijske igre na mreži [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2017 [cited 2024 May 15] Available at: https://urn.nsk.hr/urn:nbn:hr:217:616812

P. Fumić, "Kooperativne evolucijske igre na mreži", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:217:616812

Metadata
TitleKooperativne evolucijske igre na mreži
Title (english)Evolutionary cooperative games on networks
AuthorPetar Fumić
MentorVinko Zlatić (mentor)
MentorDenis Sunko (mentor)
Committee memberDenis Sunko (predsjednik povjerenstva)
Committee memberVinko Zlatić (član povjerenstva)
Committee memberMatko Milin (član povjerenstva)
Committee memberHrvoje Buljan (član povjerenstva)
Committee memberDavor Horvatić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2017-10-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Zadatak rada je nalaženja kritičnih parametara za uspjeh kooperacije. Razmatramo evolucijske igre na mrežama, konkretno, zarobljeničku dilemu i igru javnog dobra. To je matematički zahtjevan problem koji općenito nije moguće riješiti analitički. Pokazat ćemo da postoji rješenje za proizvoljnu strukturu mreže ako smo u režimu slabe selekcije. Rješenje se bazira na koalescentnoj teoriji pomoću koje možemo izračunati prosječno vrijeme do susreta dva nasumična šetača na mreži. Naći ćemo vrijednosti kritičnih parametara za velik broj mreža te vidjeti kako struktura utječe na ishod različitih evolucionarnih igara. Također, pokazati ćemo da se analitički dobiveni rezultati dobro poklapaju s rezultatima dobivenim numeričkim simulacijama.
Abstract (english)
The goal of this paper is finding the critical cooperation parameters. We are considering evolutionary games on networks, specifically, the prisoner’s dilemma and the public goods game. Finding the critical parameters is mathematically non-trivial problem which is generally difficult to solve analytically. We will show that there exists a solution for an arbitrary network structure. The solution is based on the coalescent theory and uses it to calculate the average meeting time of two random walks on the network. We will find the values of the critical parameters for a large number of networks and analyze the effect of structural details on the outcome of different evolutionary games. Also, we will show that analytical and numerical solutions are a good match.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:616812
Study programmeTitle: Physics; specializations in: Research
Course: Research
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2018-03-15 16:52:34