The generalized Nash game proposed by Rosen

John Edwin Cotrina Asto; Carlos Calderon

doi:10.48550/arXiv.2307.03532

The generalized Nash game proposed by Rosen

John Edwin Cotrina Asto
, Carlos Calderon

Producción científica: Documento de trabajo

Resumen

We deal with the generalized Nash game proposed by Rosen, which is a game
with strategy sets that are coupled across players through a shared constraint. A
reduction to a classical game is shown, and as a consequence, Rosen’s result can be deduced from the one given by Arrow and Debreu. We also establish necessary and sufficient conditions for a point to be a generalized Nash equilibrium employing the variational inequality approach. Finally, some existence results are given in the non-compact case under coerciveness conditions.

Idioma original	Inglés
Editorial	Cornell University
Páginas	1-20
DOI	https://doi.org/10.48550/arXiv.2307.03532
Estado	Publicada - 10 jul. 2023

Acceder al documento

10.48550/arXiv.2307.03532Licencia: Sin especificar

Citar esto

@techreport{fd68f4484fcb4450a86332f2e58eb3fa,

title = "The generalized Nash game proposed by Rosen",

abstract = "We deal with the generalized Nash game proposed by Rosen, which is a game with strategy sets that are coupled across players through a shared constraint. A reduction to a classical game is shown, and as a consequence, Rosen{\textquoteright}s result can be deduced from the one given by Arrow and Debreu. We also establish necessary and sufficient conditions for a point to be a generalized Nash equilibrium employing the variational inequality approach. Finally, some existence results are given in the non-compact case under coerciveness conditions.",

author = "\{Cotrina Asto\}, \{John Edwin\} and Carlos Calderon",

note = "arXiv:2307.03532v1 ([Submitted on 7 Jul 2023] ",

year = "2023",

month = jul,

day = "10",

doi = "10.48550/arXiv.2307.03532",

language = "English",

pages = "1--20",

publisher = "Cornell University",

address = "United States",

type = "WorkingPaper",

institution = "Cornell University",

}

TY - UNPB

T1 - The generalized Nash game proposed by Rosen

AU - Cotrina Asto, John Edwin

AU - Calderon, Carlos

N1 - arXiv:2307.03532v1 ([Submitted on 7 Jul 2023]

PY - 2023/7/10

Y1 - 2023/7/10

N2 - We deal with the generalized Nash game proposed by Rosen, which is a game with strategy sets that are coupled across players through a shared constraint. A reduction to a classical game is shown, and as a consequence, Rosen’s result can be deduced from the one given by Arrow and Debreu. We also establish necessary and sufficient conditions for a point to be a generalized Nash equilibrium employing the variational inequality approach. Finally, some existence results are given in the non-compact case under coerciveness conditions.

AB - We deal with the generalized Nash game proposed by Rosen, which is a game with strategy sets that are coupled across players through a shared constraint. A reduction to a classical game is shown, and as a consequence, Rosen’s result can be deduced from the one given by Arrow and Debreu. We also establish necessary and sufficient conditions for a point to be a generalized Nash equilibrium employing the variational inequality approach. Finally, some existence results are given in the non-compact case under coerciveness conditions.

U2 - 10.48550/arXiv.2307.03532

DO - 10.48550/arXiv.2307.03532

M3 - Working paper

SP - 1

EP - 20

BT - The generalized Nash game proposed by Rosen

PB - Cornell University

ER -

The generalized Nash game proposed by Rosen

Resumen

Acceder al documento

Huella

Citar esto