Nash equilibria in claim based estate division problems

buir.advisorKaragözoğlu, Emin
dc.contributor.authorİnel, Abdulkadir
dc.date.accessioned2016-01-08T18:28:16Z
dc.date.available2016-01-08T18:28:16Z
dc.date.issued2014
dc.descriptionAnkara : Department of Economics İhsan Doğramacı Bilkent University, 2014.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 2014.en_US
dc.descriptionIncludes bibliographical refences leaf 18.en_US
dc.description.abstractEstate division game is an allocation of an estate between players based on a rule. In this thesis, we consider estate division games and study the necessary and sufficient conditions for division rules under which Nash equilibria induce equal division. Ashlagi, Karag¨ozoˇglu, Klaus (2012) introduce classes of properties for division rules and show that they are sufficient for all Nash equilibria to induce equal division. In this study, we propose a different property, namely conditional full compensation, and prove that it is also a sufficient condition for division rules in order for all Nash equilibria outcomes under these rules to be equal division. We, then, show that under any rule satisfying claims boundedness and conditional equal division lower bound, equal division is a Nash equilibrium outcome. Finally, we prove that letting at least one player get more than the difference between the whole estate and the sum of other players’ claims is a necessary condition for all Nash equilibria to induce equal division.en_US
dc.description.provenanceMade available in DSpace on 2016-01-08T18:28:16Z (GMT). No. of bitstreams: 1 0006697.pdf: 239802 bytes, checksum: 616020cd1be9d289e7bbe0fa16ca0030 (MD5)en
dc.description.statementofresponsibilityİnel, Abdulkadiren_US
dc.format.extentvii, 21 leavesen_US
dc.identifier.urihttp://hdl.handle.net/11693/15994
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEstate division gameen_US
dc.subjectDivision ruleen_US
dc.subjectNash equilibriumen_US
dc.subjectEqual divisionen_US
dc.subject.lccHB145 .I54 2014en_US
dc.subject.lcshEquilibrium (Economics)en_US
dc.subject.lcshGame theory.en_US
dc.titleNash equilibria in claim based estate division problemsen_US
dc.typeThesisen_US
thesis.degree.disciplineEconomics
thesis.degree.grantorBilkent University
thesis.degree.levelMaster's
thesis.degree.nameMA (Master of Arts)

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