2 résultats pour « mathematical »

A Duality Between Utility Transforms and Probability Distortions

This paper presents a fundamental #mathematical duality linking utility transforms and #probability distortions, which are vital in #decisionmaking under #risk. It reveals that these concepts are characterized by commutation, allowing for simple axiomatization with just one property. Additionally, rank-dependent utility transforms are further characterized under monotonicity conditions.

A Unified Theory of Decentralized Insurance

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This paper discusses #decentralized#insurance and its various forms of #risksharing mechanisms developed worldwide. It highlights the need for a unified #mathematical framework to describe the commonalities and relationships between different forms of #peertopeer insurance. The framework allows for a comparison of existing practices and the design of hybrid and innovative #models .