Why a single group utility function for system performance is mathematically impossible

Unit 10: Utility Analysis and Multidimensional Evaluation, Video 3: Conditions for Value Function · 9:43 · Video: MIT OpenCourseWare · Watch at the source

In short: This video from MIT's Risk and Decision Analysis course explains the logical requirements for establishing an objective value function. It explores why aggregating individual preferences into a single group utility is fundamentally flawed.

In the context of system performance, Richard de Neufville demonstrates that the conditions required to justify a value function do not support the creation of a universal group utility. This conclusion challenges the common assumption that complex system trade-offs can be simplified into a single, unified metric for all stakeholders.

The analysis, part of the Fall 2021 IDS.333 course, highlights the rigorous logical constraints necessary for decision-making. By examining these conditions, the lecture clarifies why attempts to define a collective utility often fail to capture the reality of multidimensional evaluation.

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