How Much Do You Trust Me? A Logico-Mathematical Analysis of the Concept of the Intensity of Trust

31 Pages Posted: 21 Jan 2021

See all articles by Michele Loi

Michele Loi

Department of Mathematics, Politecnico di Milano

Andrea Ferrario

Dep. Management, Technology, and Economics ETH Zurich; Mobiliar Lab for Analytics at ETH

Eleonora Viganò

University of Zurich - Institute for Biomedical Ethics and the History of Medicine

Date Written: November 11, 2020

Abstract

Trust and monitoring are traditionally antithetical concepts. Describing trust as a property of a relationship of reliance, we introduce a theory of trust and monitoring, which uses mathematical models based on two classes of functions, including q-exponentials, and relates the levels of trust to the costs of monitoring. As opposed to several accounts of trust that attempt to identify the special ingredient of reliance and trust relationships, our theory characterizes trust as a quantitative property of certain relations of reliance that can be quantified and expressed as a scalar quantity. Our theory is applicable to both human-human and human-artificial agent interactions, as it is agnostic with respect to the concrete realization of trustworthiness properties, and is compatible with many views differing on which properties contribute to trust and trustworthiness. Finally, as our mathematical models make the quantitative features of trust measurable, they provide empirical studies on trust with a rigorous methodology for its measurement.

Keywords: trust, measure, philosophy, mathematical and quantitative methods

Suggested Citation

Loi, Michele and Ferrario, Andrea and Viganò, Eleonora, How Much Do You Trust Me? A Logico-Mathematical Analysis of the Concept of the Intensity of Trust (November 11, 2020). Available at SSRN: https://ssrn.com/abstract=3747137 or http://dx.doi.org/10.2139/ssrn.3747137

Michele Loi (Contact Author)

Department of Mathematics, Politecnico di Milano ( email )

Milano, CH-8006
Italy

Andrea Ferrario

Dep. Management, Technology, and Economics ETH Zurich ( email )

Zurich
Switzerland

Mobiliar Lab for Analytics at ETH ( email )

Zürich, 8092
Switzerland

Eleonora Viganò

University of Zurich - Institute for Biomedical Ethics and the History of Medicine ( email )

Winterthurerstrasse 30
8006
Zürich, 8006
Switzerland

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