1. Best-Response Dynamics 先给出一个intuitive的算法,best-response dynamics (BRD),该算法的思想是任意选择一个能让自己的cost严格下降的agent,更新其任意一个可以严格下降cost的策略偏移。这个算法可以看作是在一个有限图上进行walk,直到到达一个终止点。通过下面的转化把game变成graph。
Best-Response Dynamics 李志刚刚 线上笔记 What is the potential game? 可以理解成allocation里的welfare或者是别的参考系 如果一个人的值发生了变化(例如正) 其他的人的值不会变化 那么总和只有这个的增量 例子就是现在看的EFX charity和3 agents就是这个思路 因为一个人的增加就是potential function的增加, 所以...
We define and analyse three learning dynamics for two-player zero-sum discounted-payoff stochastic games. A continuous-time best-response dynamic in mixed strategies is proved to converge to the set of Nash equilibrium stationary strategies. Extending this, we introduce a fictitious-play-like process...
In this case, we find that best-response dynamics behave very differently under clockwork vs. random playing sequences. Most of our results on the probability of convergence to equilibrium are asymptotic. In Sect. 3.2 we focus on games with \(n=2\) players. In this case, the probability ...
In this work we show that the attractor of the discrete time best-response dynamics of the RPS game is finite and periodic. Moreover we also describe the bifurcations of the attractor and determine the exact number, period and location of the periodic strategies....
First, when replicator dynamics suggests mixing behavior (close to the one-population model), there will be a bias against hawkish play. Second, polarizing behavior as predicted by replicator dynamics in the vicinity of the two-population model will be less extreme in the presence of behavioral ...
We study the convergence time of the best response dynamics in player-specific singleton congestion games. It is well known that this dynamics can cycle, although from every state a short sequence of best responses to a Nash equilibrium exists. Thus, the random best response dynamics, which ...
Current results suggest that both the reward and punishment can cause the strategy switches of targeted nodes, thus to induce a cascading effect of the evolutionary dynamics in the spatial gaming systems. Given the unlimited and limited budget cases for the payoff incentives, we calculate the ...
We investigate the speed of convergence of best response dynamics to approximately optimal solutions in weighted congestion games with polynomial delay functions. Awerbuch et al. (Fast convergence to nearly optimal solutions in potential games. ACM Confe
Nirvana agentis the core component of Ares and is designed to solve the FTS problem. The Nirvana agent takes the resource statistics of worker nodes and the topology information of applications as inputs, applies a proposed best-response dynamics style algorithm (called Nirvana) to generate a sch...