The geometry of moral decision making

Fuente: arXiv
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Main Author: Friedrich, Roland M.
Format: Preprint
Published: 2025
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_version_ 1866915104620019712
author Friedrich, Roland M.
author_facet Friedrich, Roland M.
contents We show how (resource) bounded rationality can be understood as the interplay of two fundamental moral principles: deontology and utilitarianism. In particular, we interpret deontology as a regularisation function in an optimal control problem, coupled with a free parameter, the inverse temperature, to shield the individual from expected utility. We discuss the information geometry of bounded rationality and aspects of its relation to rate distortion theory. A central role is played by Markov kernels and regular conditional probability, which are also studied geometrically. A gradient equation is used to determine the utility expansion path. Finally, the framework is applied to the analysis of a disutility model of the restriction of constitutional rights that we derive from legal doctrine. The methods discussed here are also relevant to the theory of autonomous agents.
format Preprint
id arxiv_https___arxiv_org_abs_2501_08865
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The geometry of moral decision making
Friedrich, Roland M.
Information Theory
Data Analysis, Statistics and Probability
62C05, 53B12, 91B06, 94A34
We show how (resource) bounded rationality can be understood as the interplay of two fundamental moral principles: deontology and utilitarianism. In particular, we interpret deontology as a regularisation function in an optimal control problem, coupled with a free parameter, the inverse temperature, to shield the individual from expected utility. We discuss the information geometry of bounded rationality and aspects of its relation to rate distortion theory. A central role is played by Markov kernels and regular conditional probability, which are also studied geometrically. A gradient equation is used to determine the utility expansion path. Finally, the framework is applied to the analysis of a disutility model of the restriction of constitutional rights that we derive from legal doctrine. The methods discussed here are also relevant to the theory of autonomous agents.
title The geometry of moral decision making
topic Information Theory
Data Analysis, Statistics and Probability
62C05, 53B12, 91B06, 94A34
url https://arxiv.org/abs/2501.08865