Two-Agent Approximate Agreement from an Epistemic Logic Perspective

J. Armenta-Segura, J. Ledent, S. Rajsbaum
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Abstract

We investigate the two agents approximate agreement problem in a dynamic network in which topology may change unpredictably, and where consensus is not solvable. It is known that the number of rounds necessary and sufficient to guarantee that the two agents output values 1 /k 3 away from each other is k . We distil ideas from previous papers to provide a self-contained, elementary introduction, that explains this result from the epistemic logic perspective.
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认知逻辑视角下的两智能体近似一致
研究了动态网络中拓扑变化不可预测,且无法达成共识的两智能体近似协议问题。已知保证两个agent输出值相距1 /k 3的必要且足够的轮数为k。我们从以前的论文中提炼思想,提供一个独立的,基本的介绍,从认识逻辑的角度解释这一结果。
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