On Priority in Multi-Issue Bankruptcy Problems with Crossed Claims
In this paper, we analyze the problem of how to adapt the concept of priority to situations where several perfectly divisible resources have to be allocated among a certain set of agents that have exactly one claim that is used for all resources. In particular, we introduce constrained sequential pr...
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MDPI AG
2025-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/2/246 |
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| author | Rick Acosta-Vega Encarnación Algaba Joaquín Sánchez-Soriano |
| author_facet | Rick Acosta-Vega Encarnación Algaba Joaquín Sánchez-Soriano |
| author_sort | Rick Acosta-Vega |
| collection | DOAJ |
| description | In this paper, we analyze the problem of how to adapt the concept of priority to situations where several perfectly divisible resources have to be allocated among a certain set of agents that have exactly one claim that is used for all resources. In particular, we introduce constrained sequential priority rules and two constrained random arrival rules which extend the classical sequential priority rules and the random arrival rule to these situations. We also provide an axiomatic analysis of these rules. Finally, we present a numerical example to compare the constrained random arrival rule to other solutions in this context. |
| format | Article |
| id | doaj-art-2d847cd98b4943d2a3c139e5d0a0f46d |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-2d847cd98b4943d2a3c139e5d0a0f46d2025-01-24T13:39:52ZengMDPI AGMathematics2227-73902025-01-0113224610.3390/math13020246On Priority in Multi-Issue Bankruptcy Problems with Crossed ClaimsRick Acosta-Vega0Encarnación Algaba1Joaquín Sánchez-Soriano2Facultad de Ingeniería, Universidad del Magdalena, Santa Marta 470004, ColombiaDepartment of Applied Mathematics II and IMUS, University of Seville, 41092 Seville, SpainCenter of Operations Research (CIO), Miguel Hernández University of Elche, 03202 Elche, SpainIn this paper, we analyze the problem of how to adapt the concept of priority to situations where several perfectly divisible resources have to be allocated among a certain set of agents that have exactly one claim that is used for all resources. In particular, we introduce constrained sequential priority rules and two constrained random arrival rules which extend the classical sequential priority rules and the random arrival rule to these situations. We also provide an axiomatic analysis of these rules. Finally, we present a numerical example to compare the constrained random arrival rule to other solutions in this context.https://www.mdpi.com/2227-7390/13/2/246allocation problemmulti-issue bankruptcy problemssequential priority rulerandom arrival rule |
| spellingShingle | Rick Acosta-Vega Encarnación Algaba Joaquín Sánchez-Soriano On Priority in Multi-Issue Bankruptcy Problems with Crossed Claims Mathematics allocation problem multi-issue bankruptcy problems sequential priority rule random arrival rule |
| title | On Priority in Multi-Issue Bankruptcy Problems with Crossed Claims |
| title_full | On Priority in Multi-Issue Bankruptcy Problems with Crossed Claims |
| title_fullStr | On Priority in Multi-Issue Bankruptcy Problems with Crossed Claims |
| title_full_unstemmed | On Priority in Multi-Issue Bankruptcy Problems with Crossed Claims |
| title_short | On Priority in Multi-Issue Bankruptcy Problems with Crossed Claims |
| title_sort | on priority in multi issue bankruptcy problems with crossed claims |
| topic | allocation problem multi-issue bankruptcy problems sequential priority rule random arrival rule |
| url | https://www.mdpi.com/2227-7390/13/2/246 |
| work_keys_str_mv | AT rickacostavega onpriorityinmultiissuebankruptcyproblemswithcrossedclaims AT encarnacionalgaba onpriorityinmultiissuebankruptcyproblemswithcrossedclaims AT joaquinsanchezsoriano onpriorityinmultiissuebankruptcyproblemswithcrossedclaims |