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master's thesis
Strateške igre
2024. urn:nbn:hr:126:467236
Rechner, Matej
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

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Rechner, M. (2024). Strateške igre (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:467236

Rechner, Matej. "Strateške igre." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:467236

Rechner, Matej. "Strateške igre." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:467236

Rechner, M. (2024). 'Strateške igre', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 11 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:467236

Rechner M. Strateške igre [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 November 11] Available at: https://urn.nsk.hr/urn:nbn:hr:126:467236

M. Rechner, "Strateške igre", Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:467236

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Metadata
TitleStrateške igre
Title (english)Strategic Games
AuthorMatej Rechner
MentorDragana Jankov Maširević (mentor)
Committee memberZoran Tomljanović (predsjednik povjerenstva)
Committee memberDragana Jankov Maširević (član povjerenstva)
Committee memberMihaela Ribičić Penava (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-09-05, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
Ovaj diplomski rad bavi se strateškim igrama. Najprije su definirani osnovni pojmovi iz teorije odlučivanja, što uključuje probleme odlučivanja. U poglavlju ordinalna korisnost, definirana je funkcija korisnosti i neka njena svojstva. Nadalje, rad se bavi linearnom korisnosti, konveksnim problemom odlučivanja te također i von Neumann i Morgenstern funkcijom korisnosti. Definirani su osnovni pojmovi vezani uz strateške igre, nakon čega je detaljno opisan Nashov ekvilibrij, s popratnim primjerima, kao i Nashov teorem. Detaljno su obrađene konačne igre te je na njima definirano miješano proširenje. Poglavlje o bimatričnim igrama bavi se konačnim igrama za dva igrača u matričnom obliku, dok se zadnji dio rada bavi miješanim proširenjem konačne igre nulte sume za dva igrača u matričnom obliku.
Abstract (english)
This master’s thesis deals with strategic games. First, basic terms from decision theory are defined, which includes the decision problems. In the section ordinal utility, utility function and some of its properties are defined. Furthermore, the paper deals with linear utility, convex decision problem, and von Neumann and Morgenstern utility function. Basic terms related to strategic games are defined, after which Nash equilibrium is studied in detail, with accompanying examples, as well as with Nash theorem. Finite games are also described, and within them, mixed extension is defined. The section about bimatrix games deals with twoplayer finite games in matrix form, while the last part of this master’s thesis deals with mixed extension of the two-player zero-sum finite game in matrix form.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:467236
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-09-09 10:57:56