Remarks on pseudo-continuity

John Cotrina

doi:10.48550/arXiv.2201.03507

Remarks on pseudo-continuity

Research output: Working paper

Abstract

In this work we extend a maximum theorem proposed by Morgan and Scalzo. We also show some results of minimax inequalities which are equivalent to the famous Ky Fan minimax inequality. Additionally, we prove that the existence result of Nash equilibria proposed by Morgan and Scalzo is actually equivalent to a classical result in the literature.

Original language	English
Publisher	Cornell University
Number of pages	14
DOIs	https://doi.org/10.48550/arXiv.2201.03507
State	Published - 11 Jan 2022

Keywords

Maximum theorem
Minimax inequality
Nash games
Pseudo-continuity

Access to Document

10.48550/arXiv.2201.03507

Cite this

@techreport{2cdf0c53eec241f8b9a8efb1d856ab34,

title = "Remarks on pseudo-continuity",

abstract = "In this work we extend a maximum theorem proposed by Morgan and Scalzo. We also show some results of minimax inequalities which are equivalent to the famous Ky Fan minimax inequality. Additionally, we prove that the existence result of Nash equilibria proposed by Morgan and Scalzo is actually equivalent to a classical result in the literature. ",

keywords = "Maximum theorem, Minimax inequality, Nash games, Pseudo-continuity",

author = "John Cotrina",

year = "2022",

month = jan,

day = "11",

doi = "10.48550/arXiv.2201.03507",

language = "English",

publisher = "Cornell University",

address = "United States",

type = "WorkingPaper",

institution = "Cornell University",

}

TY - UNPB

T1 - Remarks on pseudo-continuity

AU - Cotrina, John

PY - 2022/1/11

Y1 - 2022/1/11

N2 - In this work we extend a maximum theorem proposed by Morgan and Scalzo. We also show some results of minimax inequalities which are equivalent to the famous Ky Fan minimax inequality. Additionally, we prove that the existence result of Nash equilibria proposed by Morgan and Scalzo is actually equivalent to a classical result in the literature.

AB - In this work we extend a maximum theorem proposed by Morgan and Scalzo. We also show some results of minimax inequalities which are equivalent to the famous Ky Fan minimax inequality. Additionally, we prove that the existence result of Nash equilibria proposed by Morgan and Scalzo is actually equivalent to a classical result in the literature.

KW - Maximum theorem

KW - Minimax inequality

KW - Nash games

KW - Pseudo-continuity

U2 - 10.48550/arXiv.2201.03507

DO - 10.48550/arXiv.2201.03507

M3 - Working paper

BT - Remarks on pseudo-continuity

PB - Cornell University

ER -

Remarks on pseudo-continuity

Abstract

Keywords

Access to Document

Fingerprint

Cite this