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Main Authors: Sarkar, Atrisha, Larson, Kate, Czarnecki, Krzysztof
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2303.07435
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author Sarkar, Atrisha
Larson, Kate
Czarnecki, Krzysztof
author_facet Sarkar, Atrisha
Larson, Kate
Czarnecki, Krzysztof
contents A central design problem in game theoretic analysis is the estimation of the players' utilities. In many real-world interactive situations of human decision making, including human driving, the utilities are multi-objective in nature; therefore, estimating the parameters of aggregation, i.e., mapping of multi-objective utilities to a scalar value, becomes an essential part of game construction. However, estimating this parameter from observational data introduces several challenges due to a host of unobservable factors, including the underlying modality of aggregation and the possibly boundedly rational behaviour model that generated the observation. Based on the concept of rationalisability, we develop algorithms for estimating multi-objective aggregation parameters for two common aggregation methods, weighted and satisficing aggregation, and for both strategic and non-strategic reasoning models. Based on three different datasets, we provide insights into how human drivers aggregate the utilities of safety and progress, as well as the situational dependence of the aggregation process. Additionally, we show that irrespective of the specific solution concept used for solving the games, a data-driven estimation of utility aggregation significantly improves the predictive accuracy of behaviour models with respect to observed human behaviour.
format Preprint
id arxiv_https___arxiv_org_abs_2303_07435
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Revealed Multi-Objective Utility Aggregation in Human Driving
Sarkar, Atrisha
Larson, Kate
Czarnecki, Krzysztof
Artificial Intelligence
A central design problem in game theoretic analysis is the estimation of the players' utilities. In many real-world interactive situations of human decision making, including human driving, the utilities are multi-objective in nature; therefore, estimating the parameters of aggregation, i.e., mapping of multi-objective utilities to a scalar value, becomes an essential part of game construction. However, estimating this parameter from observational data introduces several challenges due to a host of unobservable factors, including the underlying modality of aggregation and the possibly boundedly rational behaviour model that generated the observation. Based on the concept of rationalisability, we develop algorithms for estimating multi-objective aggregation parameters for two common aggregation methods, weighted and satisficing aggregation, and for both strategic and non-strategic reasoning models. Based on three different datasets, we provide insights into how human drivers aggregate the utilities of safety and progress, as well as the situational dependence of the aggregation process. Additionally, we show that irrespective of the specific solution concept used for solving the games, a data-driven estimation of utility aggregation significantly improves the predictive accuracy of behaviour models with respect to observed human behaviour.
title Revealed Multi-Objective Utility Aggregation in Human Driving
topic Artificial Intelligence
url https://arxiv.org/abs/2303.07435