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The desirable gambles framework provides a foundational approach to imprecise probability theory but relies heavily on linear utility assumptions. This paper introduces function-coherent gambles, a generalization that accommodates…

理论经济学 · 经济学 2025-04-28 Gregory Wheeler

For optimal stopping problems with time-inconsistent preference, we measure the inherent level of time-inconsistency by taking the time needed to turn the naive strategies into the sophisticated ones. In particular, when in a repeated…

综合经济学 · 经济学 2024-08-22 Sang Hu , Zihan Zhou

This research investigates the impact of dynamic, time-varying interactions on cooperative behaviour in social dilemmas. Traditional research has focused on deterministic rules governing pairwise interactions, yet the impact of interaction…

物理与社会 · 物理学 2024-08-20 Yujie He , Tianyu Ren , Xiao-Jun Zeng , Huawen Liang , Liukai Yu , Junjun Zheng

This paper studies the dividend and capital injection problem under a diffusion risk model with general discount functions. A proportional cost is imposed when injecting capitals. For exponential discounting as time-consistent benchmark, we…

数理金融 · 定量金融 2025-05-30 Sang Hu , Zihan Zhou

This paper defines theoretical lower bounds of uncertainty of observations of macroeconomic variables that depend on statistical moments and correlations of random values and volumes of market trades. Any econometric assessments of…

综合经济学 · 经济学 2024-10-08 Victor Olkhov

We characterize decreasing impatience, a common behavioral phenomenon in intertemporal choice. Discount factors that display decreasing impatience are characterized through a convexit y axiom for investments at fixed interest rates. Then we…

理论经济学 · 经济学 2022-08-08 Christopher P. Chambers , Federico Echenique , Alan D. Miller

Many macroeconomic policy questions may be assessed in a case study framework, where the time series of a treated unit is compared to a counterfactual constructed from a large pool of control units. I provide a general framework for this…

计量经济学 · 经济学 2018-03-02 Daniel Kinn

An important question in economics is how people choose between different payments in the future. The classical normative model predicts that a decision maker discounts a later payment relative to an earlier one by an exponential function…

理论经济学 · 经济学 2020-01-09 Alexander T. I. Adamou , Yonatan Berman , Diomides P. Mavroyiannis , Ole B. Peters

This paper studies a nonzero-sum Dynkin game in discrete time under non-exponential discounting. For both players, there are two levels of game-theoretic reasoning intertwined. First, each player looks for an intra-personal equilibrium…

最优化与控制 · 数学 2022-05-09 Yu-Jui Huang , Zhou Zhou

Information discounting plays an important role in the theory of belief functions and, generally, in information fusion. Nevertheless, neither classical uniform discounting nor contextual cannot model certain use cases, notably temporal…

人工智能 · 计算机科学 2013-12-20 Marek Kurdej , Véronique Cherfaoui

We study how a central bank should dynamically set short-term nominal interest rates to stabilize inflation and unemployment when macroeconomic relationships are uncertain and time-varying. We model monetary policy as a sequential…

统计金融 · 定量金融 2026-01-06 Tony Wang , Kyle Feinstein , Sheryl Chen

This paper studies a central planner's decision making on behalf of a group of members with diverse discount rates. In the context of optimal stopping, we work with an aggregation preference to incorporate all discount rates via an attitude…

数理金融 · 定量金融 2025-10-15 Shuoqing Deng , Xiang Yu , Jiacheng Zhang

Evaluating the financial performance of manufacturing firms requires consideration of both the time value of money and the relative importance of multiple decision criteria. Conventional approaches relying solely on deterministic…

理论经济学 · 经济学 2026-02-05 Duaa Abdullah , Marwa Abdullah

In both finance and economics, quantitative models are usually studied as isolated mathematical objects --- most often defined by very strong simplifying assumptions concerning rationality, efficiency and the existence of disequilibrium…

综合金融 · 定量金融 2010-10-04 Harbir Lamba

This work lies in the fusion of experimental economics and data mining. It continues author's previous work on mining behaviour rules of human subjects from experimental data, where game-theoretic predictions partially fail to work.…

计算机科学与博弈论 · 计算机科学 2012-11-13 Rustam Tagiew

We consider the game-theoretic approach to time-inconsistent stopping of a one-dimensional diffusion where the time-inconsistency is due to the presence of a non-exponential (weighted) discount function. In particular, we study (weak)…

概率论 · 数学 2022-07-01 Andi Bodnariu , Sören Christensen , Kristoffer Lindensjö

Kinetic exchange models have been successful in explaining the shape of the income/wealth distribution in the economies. However, such models usually make some ad-hoc assumptions when it comes to determining the savings factor. Here, we…

交易与市场微观结构 · 定量金融 2010-06-28 Anindya S. Chakrabarti

We study an optimal stopping problem under non-exponential discounting, where the state process is a multi-dimensional continuous strong Markov process. The discount function is taken to be log sub-additive, capturing decreasing impatience…

数理金融 · 定量金融 2021-07-14 Yu-Jui Huang , Zhenhua Wang

Studies of micro-level price datasets find more frequent small price increases than decreases, which can be explained by consumer inattention because time-constrained shoppers might ignore small price changes. Recent empirical studies of…

综合经济学 · 经济学 2025-06-27 Daniel Levy , Haipeng , Chen , Sourav Ray , Elliot Charette , Xiao Ling , Weihong Zhao , Mark Bergen , Avichai Snir

Stochastic games with discounted payoff, introduced by Shapley, model adversarial interactions in stochastic environments where two players try to optimize a discounted sum of rewards. In this model, long-term weights are geometrically…

计算机科学与博弈论 · 计算机科学 2021-10-22 Taylor Dohmen , Ashutosh Trivedi