Sciact
  • EN
  • RU

Parametric Algorithm for a Linear Exchange Model with Spending Constraints Full article

Journal Far East Journal of Applied Mathematics
ISSN: 0972-0960
Output data Year: 2019, Volume: 101, Number: 1, Pages: 29-51 Pages count : 23 DOI: 10.17654/AM101010029
Authors SHMYREV V.I. 1,2
Affiliations
1 Novosibirsk State University, 1, Pirogova street, Novosibirsk, 630090
2 Sobolev Institute of Mathematics

Abstract: A new algorithm of equilibrium searching for a linear exchange model with fixed budgets and financial limits on purchases (spending constraints) is considered. This consideration extends the author’s original polyhedral complementarity approach to the equilibrium problem in a linear exchange model and its variations. The approach has no analogs which made it possible to obtain finite algorithms for such models. This is due to the monotonicity properties inherent in the models. Especially simple algorithms arise for the models with fixed budgets since the emerging fixed point problems also have the potentiality properties.
Cite: SHMYREV V.I.
Parametric Algorithm for a Linear Exchange Model with Spending Constraints
Far East Journal of Applied Mathematics. 2019. V.101. N1. P.29-51. DOI: 10.17654/AM101010029 РИНЦ OpenAlex
Identifiers:
Elibrary: 41882685
OpenAlex: W2917765423
Citing: Пока нет цитирований
Altmetrics: