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Existence, convergence and efficiency analysis of nash equilibrium and its applications
Published 2016“…However, it is widely known that a Nash equilibrium often exhibits a suboptimal behavior compared with the socially optimal assignment. …”
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Distributed optimal coordination across multiple decision-makers and its application to demand response in smart grids
Published 2016“…In this case, the Nash equilibrium is exponentially stable under the given strategy. …”
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Rational secret sharing
Published 2012“…First, we propose an information theoretically secure $t$-out-of-$n$ rational secret sharing scheme based on symmetric bivariate polynomials, which induces a Nash equilibrium surviving the iterated elimination of weakly dominated strategies. …”
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5
Sensing, allocation and trading of spectral resources in cognitive radio networks
Published 2013“…Similar to the first case, the Nash equilibrium is studied for the static game and an iterative algorithm to reach the Nash equilibrium is proposed for the dynamic game. …”
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Near-Optimal Learning in Sequential Games
Published 2023“…(Lower bound) How many samples are necessary to find a Nash equilibrium in a sequential game, no matter what learning algorithm is used? …”
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Game Theory-Based Discretionary Lane Changing Controlling Compulsory Behavior In Conflicting Situation
Published 2021“…However, very few researches were conducted to handle this type of problem by using the Nash equilibrium-based game theory model as an at-least four decisions-based model. …”
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Dynamic games and applications in wireless communication networks
Published 2012“…To study the dynamics of such network selection, the Bayesian best response dynamics and aggregate best response dynamics are applied. Bayesian Nash equilibrium is considered to be the solution of this game, and there is a one-to-one mapping between the Bayesian Nash equilibrium and the equilibrium distribution of the aggregate dynamics. …”
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Finding optimal strategies for influencing social networks in two player games
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Uncommon knowledge
Published 2014“…The fifth paper corrects a claimed Agreement Theorem of Geanakoplos (1989), and exploits the corrected theorem to provide epistemic conditions for correlated equilibrium and Nash equilibrium.</p>…”
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Robust cooperative control and optimization of multi-agent systems
Published 2018“…Next, we consider a distributed Nash equilibrium seeking problem for a nonsmooth noncooperative game. …”
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Analyzing Multi-Agent Reinforcement Learning and Coevolution in Cybersecurity Simulations
Published 2022“…We apply coevolution to this challenging environment, and, in a novel modeling approach for this problem, interpret each population as a distribution over fixed strategies to form a mixed strategy Nash equilibrium. We compare the results to solutions generated by multi-agent reinforcement learning and show that evolutionary methods demonstrate a greater degree of robustness to hyperparameter misspecification in this environment. …”
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Thesis