Results 11 to 20 of about 5,277,294 (228)

Characterization of the existence of a pure-strategy Nash equilibrium

Applied Mathematics Letters, 2009
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Ji-Cheng Hou
exaly   +3 more sources

Nash Equilibria in Four-Strategy Quantum Extensions of the Prisoner’s Dilemma Game [PDF]

Entropy
The concept of Nash equilibria in pure strategies for quantum extensions of the general form of the Prisoner’s Dilemma game is investigated. The process of quantization involves incorporating two additional unitary strategies, which effectively expand ...
Piotr Frąckiewicz, Anna Gorczyca-Goraj, Krzysztof Grzanka, Katarzyna Nowakowska, Marek Szopa   +4 more
doaj   +2 more sources

A Pure Strategy Nash Equilibrium Bertrand Game with Strictly Positive Profits

Open Journal of Social Sciences, 2016
This paper explores the existence of pure strategy Nash equilibrium of a Bertrand game with strictly positive profits. We show that when fixed cost is small enough, there always exists pure strategy Nash equilibrium with strictly positive profits if firms have quadratic cost functions and linear demand curve.
Yongjian Pu, Lei Zhu
exaly   +3 more sources

Impact of Microgrid Aggregator on Joint Energy and Reserve Market Based on Pure Strategy Nash Equilibrium

Energy Procedia, 2019
Abstract With the coordination of various distributed energy resources, microgrid has the capability to participate energy and reserve market simultaneously via a microgrid aggregator (MGA). The profit-maximizing offering problem of MGA satisfying a pure strategy Nash equilibrium (NE) is modelled in the paper as a bi-level programming to analyze the ...
Zhaohong Bie
exaly   +2 more sources

Corrigendum to “On the Existence of Pure and Mixed Strategy Nash Equilibrium in Discontinuous Games”

Econometrica, 2022
No ...
Ewerhart, Christian, Reny, Philip J
openaire   +2 more sources

On a Fixed Point Theorem for General Multivalued Mappings on Finite Sets with Applications in Game Theory

Journal of Mathematics, 2022
We propose a new fixed point theorem that completely characterizes the existence of fixed points for multivalued maps on finite sets. Our result can be seen as a generalization of Abian’s fixed point theorem.
Shravan Luckraz
doaj   +1 more source

Algorithm for Computing Approximate Nash Equilibrium in Continuous Games with Application to Continuous Blotto

Games, 2021
Successful algorithms have been developed for computing Nash equilibrium in a variety of finite game classes. However, solving continuous games—in which the pure strategy space is (potentially uncountably) infinite—is far more challenging.
Sam Ganzfried
doaj   +1 more source

A Game-Theoretic Approach for Non-Cooperative Load Balancing Among Competing Cloudlets

IEEE Open Journal of the Communications Society, 2020
To deliver high performance and reliability to the mobile users in accessing mobile cloud services, the major interest is currently given to the integration of centralized cloud computing and distributed edge computing infrastructures.
Sourav Mondal, Goutam Das, Elaine Wong
doaj   +1 more source

Optimal strategy of the simultaneous dice game Pig for multiplayers: when reinforcement learning meets game theory

Scientific Reports, 2023
In this work, we focus on using reinforcement learning and game theory to solve for the optimal strategies for the dice game Pig, in a novel simultaneous playing setting.
Tian Zhu, Merry Ma, Lu Chen, Zhenhua Liu
doaj   +1 more source

A Note on Anti-Berge Equilibrium for Bimatrix Game

Известия Иркутского государственного университета: Серия "Математика", 2021
Game theory plays an important role in applied mathematics, economics and decision theory. There are many works devoted to game theory. Most of them deals with a Nash equilibrium.
R. Enkhbat
doaj   +1 more source