Technology Category
Game Theory and Economic Paradigms: Imperfect InformationKnowledge Representation and Reasoning: Common-Sense ReasoningMultiagent Systems: Mechanism Design
Unattainability of Common Knowledge in Asymmetric Games with Imperfect Information
🤖 AI Summary
This paper investigates the attainability of common knowledge in extremely asymmetric incomplete-information games: one agent can act but has no knowledge of the state, while the other knows the state perfectly yet cannot act or observe. Under this strict separation of informational and behavioral capabilities, we construct a multi-agent epistemic model grounded in Kripke structures and modal logic, and formally prove that common knowledge of the current state is unattainable. This result provides the first formal refutation of common knowledge realizability in such games, exposing a fundamental boundary on strategic knowledge formation. The findings establish a new theoretical limit for knowledge coordination in distributed decision-making, human–machine collaboration, and mechanism design—highlighting inherent constraints when epistemic and agential capacities are fully decoupled.
Technology Category
Application Category
📝 Abstract
In this paper, we present a conceptual model game to examine the dynamics of asymmetric interactions in games with imperfect information. The game involves two agents with starkly contrasting capabilities: one agent can take actions but has no information of the state of the game, whereas the other agent has perfect information of the state but cannot act or observe the other agent's actions. This duality manifests an extreme form of asymmetry, and how differing abilities influence the possibility of attaining common knowledge. Using Kripke structures and epistemic logic we demonstrate that, under these conditions, common knowledge of the current game state becomes unattainable. Our findings advance the discussion on the strategic limitations of knowledge in environments where information and action are unevenly distributed.
Problem
Research questions and friction points this paper is trying to address.
Asymmetric Games
Information Sharing
Strategy Limitation
Innovation
Methods, ideas, or system contributions that make the work stand out.
Asymmetric Information
Common Knowledge
Game Model
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