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In this article, we employ a principal-agent model to analyze optimal contract design in a monopolistic reinsurance market under adverse selection with a continuum of insurer types. Instead of using the classical expected utility framework,…

Risk Management · Quantitative Finance 2026-01-06 Ka Chun Cheung , Sheung Chi Phillip Yam , Fei Lung Yuen , Yiying Zhang

We study the utility indifference price of a European option in the context of small transaction costs. Considering the general setup allowing consumption and a general utility function at final time T, we obtain an asymptotic expansion of…

Optimization and Control · Mathematics 2015-04-07 Dylan Possamaï , Guillaume Royer

The Plackett--Luce model has been extensively used for rank aggregation in social choice theory. A central statistical question in this model concerns estimating the utility vector that governs the model's likelihood. In this paper, we…

Statistics Theory · Mathematics 2025-05-09 Ruijian Han , Yiming Xu

In this paper we present a duality theory for the robust utility maximisation problem in continuous time for utility functions defined on the positive real axis. Our results are inspired by -- and can be seen as the robust analogues of --…

Mathematical Finance · Quantitative Finance 2021-06-15 Daniel Bartl , Michael Kupper , Ariel Neufeld

In many smart infrastructure applications flexibility in achieving sustainability goals can be gained by engaging end-users. However, these users often have heterogeneous preferences that are unknown to the decision-maker tasked with…

Computer Science and Game Theory · Computer Science 2017-04-27 Ioannis C. Konstantakopoulos , Lillian J. Ratliff , Ming Jin , S. Shankar Sastry , Costas Spanos

The win ratio is increasingly used in randomized trials due to its intuitive clinical interpretation, ability to incorporate the relative importance of composite endpoints, and its capacity for combining different types of outcomes (e.g.…

Methodology · Statistics 2026-02-02 Tracy Bergemann , Tim Hanson

In this paper we extend the stability results of [4]}. Our utility maximization problem is defined as an essential supremum of conditional expectations of the terminal values of wealth processes, conditioned on the filtration at the…

Portfolio Management · Quantitative Finance 2011-03-28 Erhan Bayraktar , Ross Kravitz

We propose a class of discrete-time stochastic models for the pricing of inflation-linked assets. The paper begins with an axiomatic scheme for asset pricing and interest rate theory in a discrete-time setting. The first axiom introduces a…

General Finance · Quantitative Finance 2008-12-02 Lane P. Hughston , Andrea Macrina

In this article, we consider the optimal investment-consumption problem for an agent with preferences governed by Epstein--Zin stochastic differential utility (EZ-SDU) who invests in a constant-parameter Black-Scholes-Merton market over the…

Mathematical Finance · Quantitative Finance 2021-12-14 Martin Herdegen , David Hobson , Joseph Jerome

We consider a discrete time financial market with proportional transaction costs under model uncertainty, and study a num\'eraire-based semi-static utility maximization problem with an exponential utility preference. The randomization…

Mathematical Finance · Quantitative Finance 2019-08-02 Shuoqing Deng , Xiaolu Tan , Xiang Yu

A reformulation of the Kelly Criterion is presented. Let $\mathfrak{G}$ be a generic stochastic Bernoulli binary game with outcomes $\mathscr{Z}(I)\in\lbrace -1,1\rbrace$ of N trials for $I=1...N$. The binomial probabilities are…

Probability · Mathematics 2025-02-25 Steven D Miller

A stochastic model with a continuum of economic agents often involves shocks at both macro and micro levels. This can be formalized by a continuum of random variables that are conditionally independent given the macro level shocks. Based on…

Probability · Mathematics 2014-10-07 Lei Qiao , Yeneng Sun , Zhixiang Zhang

In many applications, an organization may want to acquire data from many data owners. Data marketplaces allow data owners to produce data assemblage needed by data buyers through coalition. To encourage coalitions to produce data, it is…

Databases · Computer Science 2022-08-03 Xuan Luo , Jian Pei , Zicun Cong , Cheng Xu

This paper describes a study of agent bidding strategies, assuming combinatorial valuations for complementary and substitutable goods, in three auction environments: sequential auctions, simultaneous auctions, and the Trading Agent…

Computer Science and Game Theory · Computer Science 2012-07-19 Amy Greenwald , Justin Boyan

We say a model is continuous in utilities (resp., preferences) if small perturbations of utility functions (resp., preferences) generate small changes in the model's outputs. While similar, these two questions are different. They are only…

Theoretical Economics · Economics 2024-03-05 Pablo Schenone

We present a method for calculating and analyzing stakeholder utilities of processes that arise in, but are not limited to, the social sciences. These areas include business process analysis, healthcare workflow analysis and policy process…

Artificial Intelligence · Computer Science 2022-02-09 Mark Dukes

This thesis develops a mathematical framework for the analysis of continuous-time trading strategies which, in contrast to the classical setting of continuous-time finance, does not rely on stochastic integrals or other probabilistic…

Probability · Mathematics 2016-02-16 Candia Riga

A dynamic model of collective consumption and saving decisions made by a finite number of agents with constant but different discount rates is developed. Collective utility is a weighted sum of individual utilities with time-varying utility…

Optimization and Control · Mathematics 2018-07-18 Luis A. Alcala

We propose an aggregate notion of non-transferable utility (NTU) stability for decentralized matching markets with fixed prices, where market clearing is achieved through one-sided money burning, which can be interpreted as waiting. Agents…

Theoretical Economics · Economics 2026-05-11 Alfred Galichon , Yu-Wei Hsieh , Antoine Jacquet

In this paper, we study decentralized decision-making where agents optimize private objectives under incomplete information and imperfect public monitoring, in a non-cooperative setting. By shaping utilities-embedding shadow prices or…

Computer Science and Game Theory · Computer Science 2025-10-31 David Smith , Jie Dong , Yizhou Yang
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