Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
On Edgeworth Equilibrium for a Multiregional Economic System. / Vasil'ev, Valery A.
2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 167-172 8880265 (2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - On Edgeworth Equilibrium for a Multiregional Economic System
AU - Vasil'ev, Valery A.
N1 - Funding Information: ACKNOWLEDGMENT The work was supported by Russian Foundation for Basic Research (grant No. 19-010-00910) and the program of fundamental scientific researches of the SB RAS No. I.5.1., Project No. 0314-2019-0018. Publisher Copyright: © 2019 IEEE.
PY - 2019/8
Y1 - 2019/8
N2 - In the paper, we extend our investigations of Edgeworth allocations in non-classic markets being some modifications of the well-known Arrow-Debreu model. Existence and core equivalence problems for Edgeworth equilibria in a model of multi-regional economic system are considered. It is shown that regional strict autarchy property guarantees coincidence of the fuzzy core and the set of Edgeworth plans of the economies under consideration. By uniting strict autarchy property and 'no cornucopia' assumption we obtain a new Edgeworth equilibrium existence theorem without rather complicated bounded transferability requirement applied in the previous existence results. The proof is based on appropriate generalization of the famous Scarf Theorem on the core to the case of fuzzy NTU cooperative game.
AB - In the paper, we extend our investigations of Edgeworth allocations in non-classic markets being some modifications of the well-known Arrow-Debreu model. Existence and core equivalence problems for Edgeworth equilibria in a model of multi-regional economic system are considered. It is shown that regional strict autarchy property guarantees coincidence of the fuzzy core and the set of Edgeworth plans of the economies under consideration. By uniting strict autarchy property and 'no cornucopia' assumption we obtain a new Edgeworth equilibrium existence theorem without rather complicated bounded transferability requirement applied in the previous existence results. The proof is based on appropriate generalization of the famous Scarf Theorem on the core to the case of fuzzy NTU cooperative game.
KW - 'no cornucopia' assumption
KW - Edgeworth equilibria
KW - multi-regional economic system
UR - http://www.scopus.com/inward/record.url?scp=85078050871&partnerID=8YFLogxK
U2 - 10.1109/OPCS.2019.8880265
DO - 10.1109/OPCS.2019.8880265
M3 - Conference contribution
AN - SCOPUS:85078050871
T3 - 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019
SP - 167
EP - 172
BT - 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019
Y2 - 26 August 2019 through 30 August 2019
ER -
ID: 35706941