{"id":{"repo_id":"cambridge","oai_identifier":"oai:www.repository.cam.ac.uk:1810/379257"},"canonical_url":"https://search.dev.ndltd.org/etd/cambridge/oai:www.repository.cam.ac.uk:1810/379257","repository":{"repo_id":"cambridge","name":"Cambridge University","base_url":"https://api.repository.cam.ac.uk/server/oai/request"},"display":{"title":"Hypergraph Distributed Optimization & Decentralized Control with Applications in Economic Networks and Graphical Games","abstract":"In this thesis we present results on the subjects of applied mathematics and economics. More specifically, our applied mathematics results focus on the use of hypergraphs instead of their graph analogue, the clique expansion graphs in the settings of distributed optimization and decentralized control. In both settings we present results where the use of hypergraphs provides a scalable and a decentralized way for consistently better convergence rate. Additionally hypergraphs provide a more compact information structure compared to their respective clique expansion graphs. We conduct all the comparisons among hypergraphs and their clique expansion graphs by means of algebraic graph theory. For our economic contributions we make use of our applied mathematics results and we provide generalizations in all aspects of economic theory in the distributed optimization and decentralized control settings for the topics of consumer theory, general equilibrium, cooperative and non-cooperative game theory, oligopolistic models and microeconometrics by utilizing network theory.","abstract_html":"In this thesis we present results on the subjects of applied mathematics and economics. More specifically, our applied mathematics results focus on the use of hypergraphs instead of their graph analogue, the clique expansion graphs in the settings of distributed optimization and decentralized control. In both settings we present results where the use of hypergraphs provides a scalable and a decentralized way for consistently better convergence rate. Additionally hypergraphs provide a more compact information structure compared to their respective clique expansion graphs. We conduct all the comparisons among hypergraphs and their clique expansion graphs by means of algebraic graph theory. For our economic contributions we make use of our applied mathematics results and we provide generalizations in all aspects of economic theory in the distributed optimization and decentralized control settings for the topics of consumer theory, general equilibrium, cooperative and non-cooperative game theory, oligopolistic models and microeconometrics by utilizing network theory.","abstract_has_math":false,"creators":["Papastaikoudis, Ioannis"],"institution":"University of Cambridge","degree_name":"Doctor of Philosophy (PhD)","degree_level":"Doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Lestas, Ioannis"],"committee_chairs":[],"committee_members":[],"year":2024,"date_issued":"2024-04-02","date_published":"2024-04-02","updated_at":"2026-07-22T22:24:20Z","subjects":["Algebraic Graph Theory","Decentralized Control","Distributed Optimization","Economic Networks","Graphical Game Theory","Hypergraphs"],"languages":["eng"],"rights":[],"rights_urls":["https://www.repository.cam.ac.uk/bitstreams/be32734b-e97b-417d-980b-b57b30f40c8c/download","http://purl.org/NET/rdflicense/allrightsreserved"],"identifier_entries":[]},"links":{"outbound_url":"https://doi.org/10.17863/CAM.115409","outbound_label":"DOI","outbound_source":"dc:identifier.doi"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Lestas, Ioannis"]},{"key":"dc:contributor.sponsor","label":"Sponsor","values":["Cambridge Trust"]},{"key":"dc:creator","label":"Author","values":["Papastaikoudis, Ioannis"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2024-04-02"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of Cambridge"]},{"key":"dc:relation.isreferencedby.uri","label":"Dc Relation Isreferencedby URI","values":["https://www.repository.cam.ac.uk/handle/1810/379257"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["Doctor of Philosophy (PhD)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Algebraic Graph Theory","Decentralized Control","Distributed Optimization","Economic Networks","Graphical Game Theory","Hypergraphs"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["https://www.repository.cam.ac.uk/bitstreams/be32734b-e97b-417d-980b-b57b30f40c8c/download","http://purl.org/NET/rdflicense/allrightsreserved"]},{"key":"dc:rights.embargodate","label":"Dc Rights Embargodate","values":["2031-01-24"]},{"key":"dc:rights.embargotype","label":"Dc Rights Embargotype","values":["embargo"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.17863/CAM.115409"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://www.repository.cam.ac.uk/bitstreams/f45251c3-ca01-4af8-8f72-5ba1c79ae565/download"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this thesis we present results on the subjects of applied mathematics and economics. 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