Article thumbnail

A conversion between utility and information

By Pedro A. Ortega and Daniel A. Braun

Abstract

Rewards typically express desirabilities or preferences over a set of alternatives. Here we propose that rewards can be defined for any probability distribution based on three desiderata, namely that rewards should be real-valued, additive and order-preserving, where the latter implies that more probable events should also be more desirable. Our main result states that rewards are then uniquely determined by the negative information content. To analyze stochastic processes, we define the utility of a realization as its reward rate. Under this interpretation, we show that the expected utility of a stochastic process is its negative entropy rate. Furthermore, we apply our results to analyze agent-environment interactions. We show that the expected utility that will actually be achieved by the agent is given by the negative cross-entropy from the input-output (I/O) distribution of the coupled interaction system and the agent's I/O distribution. Thus, our results allow for an information-theoretic interpretation of the notion of utility and the characterization of agent-environment interactions in terms of entropy dynamics.Comment: AGI-2010. 6 pages, 1 figur

Topics: Computer Science - Artificial Intelligence, Computer Science - Information Theory
Year: 2009
OAI identifier: oai:arXiv.org:0911.5106

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.

Suggested articles