An approach to distributed systems from orderings and representability
| dc.contributor.author | Estevan Muguerza, Asier | |
| dc.contributor.department | Institute for Advanced Research in Business and Economics - INARBE | en |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa, JIUPNA19-2022 | es |
| dc.date.accessioned | 2024-04-30T14:15:30Z | |
| dc.date.available | 2024-04-30T14:15:30Z | |
| dc.date.issued | 2024 | |
| dc.date.updated | 2024-04-30T14:03:25Z | |
| dc.description.abstract | In the present paper, we propose a new approach on ‘distributed systems’: the processes are represented through total orders and the communications are characterized by means of biorders. The resulting distributed systems capture situations met in various fields (such as computer science, economics and decision theory). We investigate questions associated to the numerical representability of order structures, relating concepts of economics and computing to each other. The concept of ‘quasi-finite partial orders’ is introduced as a finite family of chains with a communication between them. The representability of this kind of structure is studied, achieving a construction method for a finite (continuous) Richter–Peleg multi-utility representation. | en |
| dc.description.sponsorship | This work has been partially supported by the research project PID2021-127799NBI00 from the Spanish Ministry of Science Innovation and Universities. The author also acknowledges financial support from the Public University of Navarre (UPNA), under grant JIUPNA19-2022. Open Access funding provided by Universidad Pública de Navarra. | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Estevan, A. (2024) An approach to distributed systems from orderings and representability. Bulletin of the Iranian Mathematical Society, 50, 1-25. https://doi.org/10.1007/s41980-024-00865-0. | en |
| dc.identifier.doi | 10.1007/s41980-024-00865-0 | |
| dc.identifier.issn | 1017-060X | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/48045 | |
| dc.language.iso | eng | en |
| dc.publisher | Springer | en |
| dc.relation.ispartof | Bulletin of the Iranian Mathematical Society (2024), 50:32, 1-25 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-127799NB-I00/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1007/s41980-024-00865-0 | |
| dc.rights | © The Author(s) 2024. This article is licensed under a Creative Commons Attribution 4.0 International License. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Distributed systems | en |
| dc.subject | Biorders | en |
| dc.subject | Partial orders | en |
| dc.subject | Representability | en |
| dc.title | An approach to distributed systems from orderings and representability | es_ |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/publishedVersion | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | e442a64a-b62e-4338-9a67-d7f4d9f12813 | |
| relation.isAuthorOfPublication.latestForDiscovery | e442a64a-b62e-4338-9a67-d7f4d9f12813 |