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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

This paper studies dynamic mechanism design in a quasilinear Markovian environment and analyzes a direct mechanism model of a principal-agent framework in which the agent is allowed to exit at any period. We consider that the agent's…

Dynamical Systems · Mathematics 2021-05-10 Tao Zhang , Quanyan Zhu

We study welfare analysis for policy changes when supply and demand behavior are only partially known. We augment the robust approach pioneered by Kang and Vasserman (2025) by incorporating the supply side. We posit intervals of feasible…

Theoretical Economics · Economics 2026-04-29 Konstantin von Beringe , Mark Whitmeyer

We present a model describing the competition between information transmission and decision making in financial markets. The solution of this simple model is recalled, and possible variations discussed. It is shown numerically that despite…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 R. D'Hulst , G. J. Rodgers

We study portfolio selection in a complete continuous-time market where the preference is dictated by the rank-dependent utility. As such a model is inherently time inconsistent due to the underlying probability weighting, we study the…

Mathematical Finance · Quantitative Finance 2020-06-04 Ying Hu , Hanqing Jin , Xun Yu Zhou

This study proposes a tractable stochastic choice model to identify motivations for prosocial behavior, and to explore alternative motivations of deliberate randomization beyond ex-ante fairness concerns. To represent social preferences, we…

Theoretical Economics · Economics 2023-05-01 Yosuke Hashidate , Keisuke Yoshihara

This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute coefficient of risk aversion which…

Optimization and Control · Mathematics 2011-02-25 Traian A Pirvu , Huayue Zhang

Most decision theories, including expected utility theory, rank dependent utility theory and cumulative prospect theory, assume that investors are only interested in the distribution of returns and not in the states of the economy in which…

Portfolio Management · Quantitative Finance 2014-07-03 Carole Bernard , Franck Moraux , Ludger Rueschendorf , Steven Vanduffel

This paper proposes an iterative distributionally robust model predictive control (MPC) scheme to solve a risk-constrained infinite-horizon optimal control problem. In each iteration, the algorithm generates a trajectory from the starting…

Optimization and Control · Mathematics 2023-08-23 Alireza Zolanvari , Ashish Cherukuri

We study a sequential resource allocation problem motivated by adaptive network recruitment, in which a limited budget of identical resources must be allocated over multiple rounds to individuals with stochastic referral capacity.…

Artificial Intelligence · Computer Science 2026-05-13 Yuqi Pan , Davin Choo , Haichuan Wang , Milind Tambe , Alastair van Heerden , Cheryl Johnson

This paper introduces a new parsimonious structure for mixture of autoregressive models. the weighting coefficients are determined through latent random variables, following a hidden Markov model. We propose a dynamic programming algorithm…

Statistics Theory · Mathematics 2011-05-12 S. H. Alizadeh , S. Rezakhah

This paper considers general term structure models like the ones appearing in portfolio credit risk modelling or life insurance. We give a general model starting from families of forward rates driven by infinitely many Brownian motions and…

Pricing of Securities · Quantitative Finance 2013-06-27 Stefan Tappe , Thorsten Schmidt

Many tractable TANK models treat redistribution as a contemporaneous wedge. I show that this view is incomplete once wage contracts are type-specific. In a tractable Two-Agent New Keynesian model, each household type adjusts its nominal…

General Economics · Economics 2026-05-18 Kenji Miyazaki

We introduce a new class of forward performance processes that are endogenous and predictable with regards to an underlying market information set and, furthermore, are updated at discrete times. We analyze in detail a binomial model whose…

Mathematical Finance · Quantitative Finance 2019-03-20 Bahman Angoshtari , Thaleia Zariphopoulou , Xun Yu Zhou

We propose a model in which dividend payments occur at regular, deterministic intervals in an otherwise continuous model. This contrasts traditional models where either the payment of continuous dividends is controlled or the dynamics are…

Optimization and Control · Mathematics 2019-07-24 Jussi Keppo , Max Reppen , H. Mete Soner

We introduce a new stochastic duration model for transaction times in asset markets. We argue that widely accepted rules for aggregating seemingly related trades mislead inference pertaining to durations between unrelated trades: while any…

Econometrics · Economics 2020-05-20 Samuel Gingras , William J. McCausland

This paper presents a hidden Markov model designed to investigate the complex nature of earnings persistence. The proposed model assumes that the residuals of log-earnings consist of a persistent component and a transitory component, both…

Applications · Statistics 2023-09-06 Tong Zhou

Picking sequences are well-established methods for allocating indivisible goods. Among the various picking sequences, recursively balanced picking sequences -- whereby each agent picks one good in every round -- are notable for guaranteeing…

Computer Science and Game Theory · Computer Science 2025-12-22 Karen Frilya Celine , Warut Suksompong , Sheung Man Yuen

This paper develops a continuous-time filtering framework for estimating a hazard rate subject to an unobservable change-point. This framework naturally arises in both financial and insurance applications, where the default intensity of a…

Mathematical Finance · Quantitative Finance 2026-01-12 Matteo Buttarazzi , Claudia Ceci

We propose an explainable regime-aware portfolio construction framework based on a strictly causal Wasserstein Hidden Markov Model. The model combines rolling Gaussian HMM inference with predictive model-order selection and template-based…

Portfolio Management · Quantitative Finance 2026-03-06 Amine Boukardagha