Utility Function U = x/(x + 1): Gradually from Daniel Bernoulli to the Constant Risk Aversion

Jüri Eintalu delves into the intricacies of the utility function u(x) = x/(x + 1), examining its historical evolution from the groundbreaking ideas of Daniel Bernoulli to contemporary theories of constant risk aversion. This exploration intricately intertwines mathematical rigor with economic theory, presenting a comprehensive perspective on how this simple yet profound function contributes to the understanding of decision-making under uncertainty.

Eintalu’s work articulates the significance of diminishing risk aversion, highlighting how this function approaches zero as wealth increases. The analysis not only sheds light on the mathematical properties of the function but also situates it within the broader context of economic theory, revealing its implications for various decision-making scenarios.

Through a blend of theory and application, the book invites readers to reconsider established notions of risk and utility. Eintalu's insights provide a bridge between classical and modern economic thought, fostering a deeper appreciation for the role of utility functions in the world of economics.