Results 31 to 40 of about 875,430 (205)
Journal 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
Efficient Decomposition of Bimatrix Games (Extended Abstract) [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 Exploiting the algebraic structure of the set of bimatrix games, a divide-and-conquer algorithm for finding Nash equilibria is proposed. The algorithm is fixed-parameter tractable with the size of the largest irreducible component of a game as parameter.
Xiang Jiang, Arno Pauly
doaj +1 more source
Extended Model on Structural Stability and Robustness to Bounded Rationality
Complexity, 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
Nash equilibria in the context of convex sets
Lietuvos Matematikos Rinkinys, 2001 Nash equilibria (α, β), α > O, β > O, are investigated in bimatrix (3 x 3) game. Necessary and sufficient conditions for existing of such Nash equilibria are obtained (in theorems 4 and 8), and the algorithms for calculating them too.
Daina Sūdžiūtė
doaj +3 more sources
Nash Equilibria of Quantum Games in the Special Two-Parameter Strategy Space
Applied Sciences, 2022 The aim of the paper is to examine pure Nash equilibria in a quantum game that extends the classical bimatrix game of dimension 2. The strategies of quantum players are specific types of two-parameter unitary operations such that the resulting quantum ...
Piotr Frąckiewicz +3 more
doaj +1 more source
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 Single‐valued neutrosophic set (SVNS) is considered as generalization and extension of fuzzy set, intuitionistic fuzzy set (IFS), and crisp set for expressing the imprecise, incomplete, and indeterminate information about real‐life decision‐oriented models. The theme of this research is to develop a solution approach to solve constrained bimatrix games
Mohamed Gaber +4 more
wiley +1 more source
Mathematical 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
CoRR, 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
Quantitative 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
On the Generic Finiteness of Equilibrium Outcome Distributions in Bimatrix Game Forms [PDF]
, 2007 We provide an example of an outcome game form with two players for which there is in an open set of utilities for both players such that, in each of the associated games, the set of mixed Nash equilibria induces a continuum of outcome ...
Litan, Cristian M. +7 more
core +1 more source