Time-dependent generalized Nash equilibrium problem

John Cotrina; Javier Zúñiga

doi:10.1007/s10957-018-1383-5

Time-dependent generalized Nash equilibrium problem

John Cotrina
, Javier Zúñiga

Research output: Contribution to journal › Article in a journal › peer-review

9 Scopus citations

Abstract

We prove an existence result for the time-dependent generalized Nash equilibrium problem under generalized convexity without neither a quasi-variational inequality reformulation nor a quasi-equilibrium problem reformulation. Furthermore, an application to the time-dependent abstract economy is considered.

Original language	English
Pages (from-to)	1054-1064
Number of pages	11
Journal	Journal of Optimization Theory and Applications
Volume	179
Issue number	3
DOIs	https://doi.org/10.1007/s10957-018-1383-5
State	Published - 1 Dec 2018

Bibliographical note

"Technical Note."

Keywords

Abstract economy
Coerciveness
Generalized Nash equilibrium problem
Generalized convexity
Infinite-dimensional strategy spaces

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10.1007/s10957-018-1383-5

Cite this

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title = "Time-dependent generalized Nash equilibrium problem",

abstract = "We prove an existence result for the time-dependent generalized Nash equilibrium problem under generalized convexity without neither a quasi-variational inequality reformulation nor a quasi-equilibrium problem reformulation. Furthermore, an application to the time-dependent abstract economy is considered.",

keywords = "Abstract economy, Coerciveness, Generalized Nash equilibrium problem, Generalized convexity, Infinite-dimensional strategy spaces, Abstract economy, Coerciveness, Generalized Nash equilibrium problem, Generalized convexity, Infinite-dimensional strategy spaces",

author = "John Cotrina and Javier Z{\'u}{\~n}iga",

note = "{"}Technical Note.{"}",

year = "2018",

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doi = "10.1007/s10957-018-1383-5",

language = "English",

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TY - JOUR

T1 - Time-dependent generalized Nash equilibrium problem

AU - Cotrina, John

AU - Zúñiga, Javier

N1 - "Technical Note."

PY - 2018/12/1

Y1 - 2018/12/1

N2 - We prove an existence result for the time-dependent generalized Nash equilibrium problem under generalized convexity without neither a quasi-variational inequality reformulation nor a quasi-equilibrium problem reformulation. Furthermore, an application to the time-dependent abstract economy is considered.

AB - We prove an existence result for the time-dependent generalized Nash equilibrium problem under generalized convexity without neither a quasi-variational inequality reformulation nor a quasi-equilibrium problem reformulation. Furthermore, an application to the time-dependent abstract economy is considered.

KW - Abstract economy

KW - Coerciveness

KW - Generalized Nash equilibrium problem

KW - Generalized convexity

KW - Infinite-dimensional strategy spaces

KW - Abstract economy

KW - Coerciveness

KW - Generalized Nash equilibrium problem

KW - Generalized convexity

KW - Infinite-dimensional strategy spaces

UR - https://www.scopus.com/pages/publications/85053252338

UR - https://www.scopus.com/pages/publications/85053252338#tab=citedBy

U2 - 10.1007/s10957-018-1383-5

DO - 10.1007/s10957-018-1383-5

M3 - Article in a journal

SN - 0022-3239

VL - 179

SP - 1054

EP - 1064

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 3

ER -

Time-dependent generalized Nash equilibrium problem

Abstract

Bibliographical note

Keywords

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