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Distributed Weighted Vertex Cover: An Ordinal Potential Game Theoretic Learning Approach
2025 44th Chinese Control Conference (CCC)Changhao Sun +3 more
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A potential approach for ordinal games
Top, 2001The authors look at ordinal potential games originally defined by \textit{D. Monderer} and \textit{L. S. Shapley} [Games Econ. Behav. 14, 124-143 (1996; Zbl 0862.90137)]. As opposed to the original definition using potential functions (into the real numbers), this paper defines potential ordinal games using arbitrary preorders. \textit{M.
Norde, H.W., Patrone, F.
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Bursts in three-strategy evolutionary ordinal potential games on a square lattice
Physica A: Statistical Mechanics and its Applications, 2019Abstract Evolutionary potential games provide an analogy for equilibrium statistical physics under suitable conditions that is broken if cyclic components are added. Using Monte Carlo simulations we study the effect of weak cyclic perturbations on the equilibrium in a system of players located on a square lattice while the dynamics is controlled by a
Hódsági, Kristóf, Szabó, György
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Potential games: a purely ordinal approach
Economics Letters, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Distributed Optimization and State Based Ordinal Potential Games
2013The focus of this paper is to develop a theoretical framework to analyze and address distributed optimization problem in multi-agent systems based on the cooperative control methodology and game theory. First the sensing/communication matrix is introduced and the minimal communication requirement among the agents is provided.
Jianliang Zhang +2 more
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On continuous ordinal potential games [PDF]
, 2010 If the preferences of the players in a strategic game satisfy certain continuity conditions, then the acyclicity of individual improvements implies the existence of a Nash equilibrium. Moreover, starting from any strategy profile, an arbitrary neighborhood of the set of Nash equilibria can be reached after a finite number of individual improvements.
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