undergraduate thesis
Implementation of Petrograd paradox in C programming language

Dominik Grabić (2016)
Sveučilište Josipa Jurja Strossmayera u Osijeku
Fakultet elektrotehnike, računarstva i informacijskih tehnologija Osijek
Zavod za zajedničke predmete (matematiku, fiziku, strojarstvo i strane jezike)
Katedra za matematiku i fiziku
Metadata
TitleImplementacija Petrogradskog paradoksa u programskom jeziku C
AuthorDominik Grabić
Mentor(s)Tomislav Rudec (thesis advisor)
Alfonzo Baumgartner (thesis advisor)
Abstract
Petrogradski paradoks je matematički problem koji je prvi opisao švicarski matematičar Nicolaus Bernoulli. Radi se o igri na sreću za dva igrača koja se odvija bacanjem poštenog novčića. Paradoks ove igre leži u tome da se matematičko očekivanje igre ne poklapa s iznosom koji bi racionalan pojedinac pristao uložiti za sudjelovanje u igri. Mnogi poznati matematičari poput Daniela Bernoullija i Gabriela Cramera pokušali su dati rješenje paradoksa. Njihovi napori rezultirali su otkrićima u području ekonomije i statistike te su doveli do pojavljivanja novih ideja. U ovom završnom radu najprije je opisana teorijska podloga Petrogradskog paradoksa, dok je u praktičnom dijelu rada izrađen program koji simulira odigravanje velikog broja slučajeva igre Petrogradskog paradoksa.
Keywordsparadox game of chance expected value utility risk aversion limit simulation C programming language
Parallel title (English)Implementation of Petrograd paradox in C programming language
Committee MembersTomislav Rudec (committee chairperson)
Hrvoje Glavaš (committee member)
Krešimir Fekete (committee member)
GranterSveučilište Josipa Jurja Strossmayera u Osijeku
Fakultet elektrotehnike, računarstva i informacijskih tehnologija Osijek
Lower level organizational unitsZavod za zajedničke predmete (matematiku, fiziku, strojarstvo i strane jezike)
Katedra za matematiku i fiziku
PlaceOsijek
StateCroatia
Scientific field, discipline, subdisciplineTECHNICAL SCIENCES
Computing
Process Computing
Study programme typeuniversity
Study levelundergraduate
Study programmeUndergraduate University Study Programme in Computer Engineering
Academic title abbreviationuniv.bacc.ing.comp.
Genreundergraduate thesis
Language Croatian
Defense date2016-09-12
Parallel abstract (English)
St. Petersburg paradox was first described by Swiss mathematician Nicolaus Bernoulli. It is a game of chance for two players which is played by tossing a fair coin. Paradox here lies within the fact that the expected value of the game does not coincide with the amount of money which a rational decision maker would be willing to pay in order to enter the game. Many famous mathematicians such as Daniel Bernoulli and Gabriel Cramer attempted to solve this paradox. Their efforts led to many breakthroughs in economy and statistics and inspired birth of new ideas. First part of this final paper deals with theoretical background behind the paradox, while a C program for simulation of large quantities of st. petersburg paradox game was written in second, practical, part of this paper.
Parallel keywords (Croatian)paradoks igra na sreću matematičko očekivanje korisnost sklonost riziku ograničenje simulacija programski jezik C
Resource typetext
Access conditionOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:200:445111
CommitterAnka Ovničević