On the Existence of Fuzzy Contractual Allocations, Fuzzy Core and Perfect Competition in an Exchange Economy Full article
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22nd International conference "Mathematical Optimization Theory and Operations Research" 02-08 Jul 2023 , Екатеринбург |
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| Source | Mathematical Optimization Theory and Operations Research: Recent Trends Compilation, Springer. 2023. 406 c. |
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| Journal |
Communications in Computer and Information Science
ISSN: 1865-0929 |
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| Output data | Year: 2023, Pages: 308-323 Pages count : 16 DOI: 10.1007/978-3-031-43257-6_23 | ||
| Tags | Fuzzy core · Fuzzy contractual allocation · Edgeworth equilibria · Perfect competition · Existence theorems | ||
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0019 |
Abstract:
The fuzzy core is well-known in theoretical economics, it is widely applied to model the conditions of perfect competition. In contrast, the original author’s concept of fuzzy contractual allocation as a specific element of the fuzzy core is not so widely known in the literature, but it also represents a (refined) model of perfect competition. This motivates the study of its validity: the existence of fuzzily contractual allocations in an economic model; it also implies the existence (non-emptiness) of the fuzzy core and develops an approach from [15]. The proof is based on two well-known theorems: Michael’s theorem on the existence of a continuous selector for a point-to-set mapping and Brouwer’s fixed point theorem. In literature, only the non-emptiness of the fuzzy core was proven under essentially stronger assumptions— typically, it applies replicated economies and Edgeworth equilibria.
Cite:
Marakulin V.M.
On the Existence of Fuzzy Contractual Allocations, Fuzzy Core and Perfect Competition in an Exchange Economy
In compilation Mathematical Optimization Theory and Operations Research: Recent Trends. – Springer., 2023. – Т.1881. – C.308-323. DOI: 10.1007/978-3-031-43257-6_23 Scopus OpenAlex
On the Existence of Fuzzy Contractual Allocations, Fuzzy Core and Perfect Competition in an Exchange Economy
In compilation Mathematical Optimization Theory and Operations Research: Recent Trends. – Springer., 2023. – Т.1881. – C.308-323. DOI: 10.1007/978-3-031-43257-6_23 Scopus OpenAlex
Dates:
| Published print: | Sep 21, 2023 |
| Published online: | Sep 21, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85174635637 |
| OpenAlex: | W4386891749 |