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On pure equilibria for bimatrix games [PDF]

open access: yesZOR - Methods and Models of Operations Research, 1993
Summary: \textit{L. S. Shapley} [Ann. Math. Stud. 52, 1-28 (1964; Zbl 0126.162)] gave several conditions for the existence of pure saddlepoints for a matrix game. We show that only a few of these conditions, when translated to the situation of a bimatrix game guarantee the existence of pure equilibria.
Jurg, P., Jansen, M., Tijs, S.H.
openaire   +5 more sources

Stochastic Evolutionary Game Analysis on the Strategy Selection of Green Building Stakeholders from the Perspective of Supply‐Demand Subject Populations

open access: yesJournal of Sensors, Volume 2022, Issue 1, 2022., 2022
In construction industry, the research and development (R&D) and application of green building technologies (GBTs) are crucial to promote the development of green buildings. From the perspective of supply‐demand subject populations, this paper discusses the dynamic evolution process of strategy between individuals within construction enterprise ...
Yaohong Yang   +5 more
wiley   +1 more source

Constrained Bimatrix Games with Fuzzy Goals and its Application in Nuclear Negotiations [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2018
Solving constrained bimatrix games in the fuzzy environment is the aim of this research. This class of two-person nonzero-sum games is considered with finite strategies and fuzzy goals when some additional linear constraints are imposed on the strategies.
H. Bigdeli, H. Hassanpour, J. Tayyebi
doaj   +1 more source

Novel Algorithms for Solving a System of Absolute Value Variational Inequalities

open access: yesJournal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The goal of this paper is to study a new system of a class of variational inequalities termed as absolute value variational inequalities. Absolute value variational inequalities present a rational, pragmatic, and novel framework for investigating a wide range of equilibrium problems that arise in a variety of disciplines.
Safeera Batool   +5 more
wiley   +1 more source

Numerical Solution of the Absolute Value Equations Using Two Matrix Splitting Fixed Point Iteration Methods

open access: yesJournal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The absolute value equations (AVEs) are significant nonlinear and non-differentiable problems that arise in the optimization community. In this article, we provide two new iteration methods for determining AVEs. These two approaches are based on the fixed point principle and splitting of the coefficient matrix with three extra parameters.
Rashid Ali   +4 more
wiley   +1 more source

Extended Model on Structural Stability and Robustness to Bounded Rationality

open access: yesComplexity, Volume 2021, Issue 1, 2021., 2021
In this article, we focus on an extended model M¯ of bounded rationality. Based on a rationality function with lower semicontinuity, we analyze the relationship between structural stability and robustness of Ω¯. To further demonstrate the applicability of our theory, we introduce a model Ω¯0 containing an abstract rationality function and generalize ...
Yi Liao   +5 more
wiley   +1 more source

Solving Multiobjective Game in Multiconflict Situation Based on Adaptive Differential Evolution Algorithm with Simulated Annealing

open access: yesMathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
In this paper, we study the multiobjective game in a multiconflict situation. First, the feasible strategy set and synthetic strategy space are constructed in the multiconflict situation. Meanwhile, the value of payoff function under multiobjective is determined, and an integrated multiobjective game model is established in a multiconflict situation ...
Huimin Li   +5 more
wiley   +1 more source

Evolution of parental roles in phase portraits of bimatrix asymmetric games

open access: yesFrontiers in Ecology and Evolution, 2023
In this paper, we address the evolutionary dynamic of parental roles using game theory. The main purpose of the article was to expand a classical list of evolutionary dynamic parental conflicts by adding some important cases which hitherto have not been ...
Olga Vladimirovna Semenova   +2 more
doaj   +1 more source

Empathy in Bimatrix Games

open access: yesCoRR, 2017
Although the definition of what empathetic preferences exactly are is still evolving, there is a general consensus in the psychology, science and engineering communities that the evolution toward players' behaviors in interactive decision-making problems will be accompanied by the exploitation of their empathy, sympathy, compassion, antipathy ...
Brian Powers   +2 more
openaire   +3 more sources

A notion of prominence for games with natural‐language labels

open access: yesQuantitative Economics, Volume 12, Issue 1, Page 283-312, January 2021., 2021
We study games with natural‐language labels (i.e., strategic problems where options are denoted by words), for which we propose and test a measurable characterization of prominence. We assume that—ceteris paribus—players find particularly prominent those strategies that are denoted by words more frequently used in their everyday language.
Alessandro Sontuoso, Sudeep Bhatia
wiley   +1 more source

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