Can some simple games lead to chaos?

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atmire.migration.oldid523
dc.contributor.advisorGuy, Richard
dc.contributor.authorLiprandi, Maximiliano
dc.date.accessioned2013-01-07T22:35:17Z
dc.date.available2013-06-15T07:01:42Z
dc.date.issued2013-01-07
dc.date.submitted2012en
dc.description.abstractSome combinatorial games, like GRUNDY'S GAME, are simple to describe, but follow chaotic patterns and can prove very difficult to analyze entirely. In this thesis we will look at some games, including a combinatorial version of Mancala; the game of BLASH & SLASH, played by drawing diagonals on a rectangular grid; and BLASH, SLASH & DASH, played by removing edges in triangular arrays. While some of these games might seem very simple at a first, they often exhibit patterns that are very hard to predict. In Chapters 1 and 2 we give an introduction to the subject of combinatorial games by looking at the theories crafted by Conway and by Sprague and Grundy before him. In Chapter 3 we analyze the game of BLASH & SLASH in some of its versions, and find an equivalence between this game and NODE KAYLES. In Chapter 4 we look at the game of BLASH, SLASH & DASH and find a sparse space in one of its cases. In Chapter 5 we analyze some versions of BASIC MANCALA. Lastly, we give suggestions for future research in these games.en_US
dc.identifier.citationLiprandi, M. (2013). Can some simple games lead to chaos? (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/25203en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/25203
dc.identifier.urihttp://hdl.handle.net/11023/384
dc.language.isoeng
dc.publisher.facultyGraduate Studies
dc.publisher.institutionUniversity of Calgaryen
dc.publisher.placeCalgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.subjectMathematics
dc.subjectMathematics
dc.subject.classificationCombinatorial Game Theoryen_US
dc.titleCan some simple games lead to chaos?
dc.typemaster thesis
thesis.degree.disciplineMathematics and Statistics
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameMaster of Science (MSc)
ucalgary.item.requestcopytrue
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