Axiomatic and Dynamic Processes for a Symmetric Allocation Rule
It has recently become imperative to analyze relevant issues to improve the efficiency of resource allocation by means of different perspectives and ways of thinking. There exist numerous decisive factors, such as changes in forms of allocation, reactive behavior, and the interaction and functional...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-08-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/13/8/1474 |
| _version_ | 1797521954248327168 |
|---|---|
| author | Chia-Hung Li Jo-Wei Chiang En-Cheng Chi Yu-Hsien Liao |
| author_facet | Chia-Hung Li Jo-Wei Chiang En-Cheng Chi Yu-Hsien Liao |
| author_sort | Chia-Hung Li |
| collection | DOAJ |
| description | It has recently become imperative to analyze relevant issues to improve the efficiency of resource allocation by means of different perspectives and ways of thinking. There exist numerous decisive factors, such as changes in forms of allocation, reactive behavior, and the interaction and functional effectiveness of strategies, that need to be complied. In contrast to expert meetings, rules of thumb, or other existing concepts, this article aims to offer a different and efficient resource allocation approach by applying game-theoretical methods to resource-allocation situations. Our major investigative procedures are as follows: (1) after comparing our method with pre-existing allocation rules from pre-existing allocation rules, a symmetric allocation rule is proposed that considers both units and their energy grades; (2) based on the properties of grade completeness, criterion for models, unmixed equality symmetry, grade synchronization, and consistency, some axiomatic outcomes are used to examine the mathematical accuracy and the applied rationality of this symmetric allocation rule; (3) based on a symmetrical revising function, a dynamic process is applied to show that this symmetric allocation rule can be reached by units that start from an arbitrary grade completeness situation; and (4) these axiomatic and dynamic results and related meanings are applied to show that this symmetric allocation rule can present an optimal alternative guide for resource-allocation processes. Related applications, comparisons, and statements are also offered throughout this article. |
| first_indexed | 2024-03-10T08:19:53Z |
| format | Article |
| id | doaj.art-bf6e33d6782a470d934955148693008f |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T08:19:53Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-bf6e33d6782a470d934955148693008f2023-11-22T10:02:06ZengMDPI AGSymmetry2073-89942021-08-01138147410.3390/sym13081474Axiomatic and Dynamic Processes for a Symmetric Allocation RuleChia-Hung Li0Jo-Wei Chiang1En-Cheng Chi2Yu-Hsien Liao3Office of Physical Activities, National Pingtung University, Pingtung County 90003, TaiwanDepartment of Adult and Continuing Education, National Chung Cheng University, Chiayi 621301, TaiwanOffice of Physical Activities, National Pingtung University, Pingtung County 90003, TaiwanDepartment of Applied Mathematics, National Pingtung University, Pingtung County 900391, TaiwanIt has recently become imperative to analyze relevant issues to improve the efficiency of resource allocation by means of different perspectives and ways of thinking. There exist numerous decisive factors, such as changes in forms of allocation, reactive behavior, and the interaction and functional effectiveness of strategies, that need to be complied. In contrast to expert meetings, rules of thumb, or other existing concepts, this article aims to offer a different and efficient resource allocation approach by applying game-theoretical methods to resource-allocation situations. Our major investigative procedures are as follows: (1) after comparing our method with pre-existing allocation rules from pre-existing allocation rules, a symmetric allocation rule is proposed that considers both units and their energy grades; (2) based on the properties of grade completeness, criterion for models, unmixed equality symmetry, grade synchronization, and consistency, some axiomatic outcomes are used to examine the mathematical accuracy and the applied rationality of this symmetric allocation rule; (3) based on a symmetrical revising function, a dynamic process is applied to show that this symmetric allocation rule can be reached by units that start from an arbitrary grade completeness situation; and (4) these axiomatic and dynamic results and related meanings are applied to show that this symmetric allocation rule can present an optimal alternative guide for resource-allocation processes. Related applications, comparisons, and statements are also offered throughout this article.https://www.mdpi.com/2073-8994/13/8/1474unitenergy gradesymmetric allocation ruleaxiomatic and dynamic result |
| spellingShingle | Chia-Hung Li Jo-Wei Chiang En-Cheng Chi Yu-Hsien Liao Axiomatic and Dynamic Processes for a Symmetric Allocation Rule Symmetry unit energy grade symmetric allocation rule axiomatic and dynamic result |
| title | Axiomatic and Dynamic Processes for a Symmetric Allocation Rule |
| title_full | Axiomatic and Dynamic Processes for a Symmetric Allocation Rule |
| title_fullStr | Axiomatic and Dynamic Processes for a Symmetric Allocation Rule |
| title_full_unstemmed | Axiomatic and Dynamic Processes for a Symmetric Allocation Rule |
| title_short | Axiomatic and Dynamic Processes for a Symmetric Allocation Rule |
| title_sort | axiomatic and dynamic processes for a symmetric allocation rule |
| topic | unit energy grade symmetric allocation rule axiomatic and dynamic result |
| url | https://www.mdpi.com/2073-8994/13/8/1474 |
| work_keys_str_mv | AT chiahungli axiomaticanddynamicprocessesforasymmetricallocationrule AT joweichiang axiomaticanddynamicprocessesforasymmetricallocationrule AT enchengchi axiomaticanddynamicprocessesforasymmetricallocationrule AT yuhsienliao axiomaticanddynamicprocessesforasymmetricallocationrule |