Quantitative Modeling of Complex Computational Task Environments

Formal approaches to specifying how the mental state of an agent entails that it perform particular actions put the agent at the center of analysis. For some questions and purposes, it is more realistic and convenient for the center of analysis to be the task environment, domain, or society of which agents will be a part. This paper presents such a task environment-oriented modeling framework that can work hand-in-hand with more agent-centered approaches. Our approach features careful attention to the quantitative computational interrelationships between tasks, to what information is available (and when) to update an agent's mental state, and to the general structure of the task environment rather than single-instance examples. A task environment model can be used for both analysis and simulation; it avoids the methodological problems of relying solely on single-instance examples, and provides concrete, meaningful characterizations with which to state general theories. This paper will give an example of a model in the context of cooperative distributed problem solving, but our framework is used for analyzing centralized and parallel control as well.

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