Results 1 to 10 of about 136 (103)

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

open access: yesJournal 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

open access: yesGames, 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

open access: yesIEEE 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

open access: yesScientific 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

open access: yesИзвестия 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

Rational Play in Extensive-Form Games

open access: yesGames, 2022
We argue in favor of a departure from the equilibrium approach in game theory towards the less ambitious goal of describing only the actual behavior of rational players.
Giacomo Bonanno
doaj   +1 more source

Geometrical regret matching: A new dynamics to Nash equilibrium

open access: yesAIP Advances, 2020
We argue that the existing regret matchings for Nash equilibrium approximation conduct “jumpy” strategy updating when the probabilities of future plays are set to be proportional to positive regret measures.
Sizhong Lan
doaj   +1 more source

Dynamic Game for Strategy Selection in Hardware Trojan Attack and Defense

open access: yesIEEE Access, 2020
The offshore outsourcing introduces serious threats to semiconductor suppliers and integrated circuit(IC) users for the possibility of hardware trojans (HTs).
Daming Yang, Cheng Gao, Jiaoying Huang
doaj   +1 more source

Pure Strategy Nash Equilibria Refinement in Bimatrix Games by Using Domination Efficiency along with Maximin and the Superoptimality Rule

open access: yesНаукові вісті Національного технічного університету України "Київський політехнічний інститут", 2018
Background. Multiple Nash equilibria bring a new problem of selecting amongst them but this problem is solved by refining the equilibria. However, none of the existing refinements can guarantee a single refined Nash equilibrium.
Vadim V. Romanuke
doaj   +1 more source

Dynamical selection of Nash equilibria using reinforcement learning: Emergence of heterogeneous mixed equilibria. [PDF]

open access: yesPLoS ONE, 2018
We study the distribution of strategies in a large game that models how agents choose among different double auction markets. We classify the possible mean field Nash equilibria, which include potentially segregated states where an agent population can ...
Robin Nicole, Peter Sollich
doaj   +1 more source

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