This article describes the main historical facts concerning the Saint Petersburg paradox, the most important solutions proposed thus far, and the results of new experimental evidence and a simulation of the game that shed light on a solution for this paradox. The Saint Petersburg paradox has...

Portfolio models typically ignore precautionary transactions demands for liquid assets, and models of precautionary demands typically ignore asset rate-of-return risk. If asset-holders are risk-averse, however, both transactions risk and rate-of-return risk affect demands for both liquid and...

Expected utility theory is critical for modeling rational decision making under uncertainty, guiding economic agents as they seek to optimize outcomes. Traditional methods often require restrictive assumptions about underlying stochastic processes, limiting their applicability. This paper...

We directly optimize portfolio weights as a function of firm characteristics via deep neural networks by generalizing the parametric portfolio policy framework. Our results show that network-based portfolio policies result in an increase of investor utility of between 30 and 100 percent over a...

We consider parametric portfolio policies of any complexity using deep neural networks to optimize investor utility. Risk aversion acts as an economic regularization mechanism, with higher risk aversion constraining model complexity. Empirically, Deep Parametric Portfolio Policies (DPPP)...

We introduce a novel experimental framework, the two-ball Ellsberg gamble, which allows us to explore a wider range of possible drivers of ambiguity attitudes than usually considered by the literature. In an incentivized experiment on a representative sample from the US with 708 participants, we...

We introduce and analyze expected balanced uncertain utility (EBUU) theory. A prior and a balanced outcome-set utility characterize an EBUU decision maker. Conditional on a reference or "balancing value," the latter assigns a utility to each outcome-set. The decision maker associates with each...

Promoting household-level adaptation measures is an important part of climate change adaptation policies to reduce vulnerability to droughts for (agro-)pastoral communities in sub-Saharan Africa. To develop effective supportive policies, it is important to get a better understanding of the needs...

We study how the separation of time and risk preferences relates to a property called Stochastic Impatience. We show that, within a broad class of models, Stochastic Impatience holds if and only if risk aversion and the inverse elasticity of intertemporal substitution are sufficiently close. In...

Comonotonicity (''same variation'') of random variables minimizes hedging possibilities and has been widely used, e.g., in Gilboa and Schmeidler's ambiguity models. This paper investigates anticomonotonicity (''opposite variation''; abbreviated ''AC''), the natural counterpart to comonotonicity....

We consider the problem where a modeller conducts sensitivity analysis of a model consisting of random input factors, a corresponding random output of interest, and a baseline probability measure. The modeller seeks to understand how the model (the distribution of the input factors as well as...

We present a novel characterization of random rank-dependent expected utility for finite datasets and finite prizes. As a byproduct, we obtain a characterization of random expected utility that works for finite datasets. The test lends itself to statistical testing. We apply our test to an...

Modeling, Analysis, and Optimization for Mathematical Finance, Economics, and Risks is a critical domain that integrates mathematical theory with practical applications to address the complexities of modern financial and economic systems. This special issue focuses on recent studies that are...

Recent theoretical developments in economics distinguish between risk and ambiguity (Knightian uncertainty). Using state-of-the-art methods with intraday stock market data from February 1993 to February 2021, we derive financial ambiguity and empirically examine the effect of shocks to it on the...

Experimental evidence on intertemporal choice has documented a preference for consumption smoothing that cannot be explained by discounted utility. We study a general class of dynamically consistent intertemporal dual-self preferences that accommodate a preference for consumption smoothing. We...