Mutual support in games: some properties of Berge equilibria

AM Colman, TW Körner, O Musy, T Tazdaït - Journal of Mathematical …, 2011 - Elsevier
The Berge equilibrium concept formalizes mutual support among players motivated by the
altruistic social value orientation in games. We prove some basic results for Berge equilibria …

Berge equilibrium in normal form static games: a literature review

L Moussa, ZV Iosifovich - Известия Института математики и …, 2017 - cyberleninka.ru
We present a literature review of Berge equilibrium (BE) in normal form static games. The
review shows that research on BE has gained momentum in the last few years as this …

[图书][B] The Berge equilibrium: a game-theoretic framework for the golden rule of ethics

ME Salukvadze, VI Zhukovskiy - 2020 - Springer
Imagine that there are three sellers in a market, namely, a man (husband), his wife, and their
son. At their disposal they have resources Xh, Xw, and Xs, respectively, and to gain some …

Some existence theorems of Nash and Berge equilibria

KY Abalo, MM Kostreva - Applied mathematics letters, 2004 - Elsevier
Applied Mathematics Letters Some Existence Theorems of Nash and Berge Equilibria Page 1
F:J_,SEYW-_~ Available online at www.sciencedirect.com 8CIENCE~DIRECT e Applied …

[HTML][HTML] A note on Berge equilibrium

R Nessah, M Larbani, T Tazdait - Applied mathematics letters, 2007 - Elsevier
This work is a contribution on the problem of the existence of Berge equilibrium. Abalo and
Kostreva give an existence theorem for this equilibrium that appears in the papers [KY …

Berge equilibrium: some recent results from fixed-point theorems

K Abalo, M Kostreva - Applied mathematics and computation, 2005 - Elsevier
The notion of Berge equilibrium is a generalization of Nash equilibrium, which has its
theoretical basis in fixed point theorems. We point out parallel but novel results for the Berge …

Mathematical foundations of the Golden Rule. I. Static case

VI Zhukovskiy, KN Kudryavtsev - Automation and Remote Control, 2017 - Springer
The Berge equilibrium concept was suggested by Russian mathematician K. Vaisman in
1994. In this paper, we suggest to use this concept as a mathematical model of the Golden …

A note on the existence of Berge and Berge–Nash equilibria

M Larbani, R Nessah - Mathematical Social Sciences, 2008 - Elsevier
This paper deals with the problem of existence of Berge and Berge–Nash equilibria. Abalo
and Kostreva have proved existence theorems of Berge and Berge–Nash equilibria for S …

Altruistic-like equilibrium in a differential game of renewable resource extraction

V Mazalov, E Parilina, J Zhou - International Conference on Mathematical …, 2021 - Springer
We consider a model of renewable resource extraction described by a differential game with
infinite horizon. The environmental problems are often considered from cooperative …

Математические основы Золотого правила нравственности: Теория нового, альтруистичного уравновешивания конфликтов в противоположность" …

АА Гусейнов, ВИ Жуковский, КН Кудрявцев - 2016 - elibrary.ru
Золотое правило нравственности гласит:«Поступай по отношению к другому так, как
хотел бы, чтобы он поступал по отношению к тебе». В качестве математической …