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We consider the problem of finding Pareto-optimal allocations of risk among finitely many agents. The associated individual risk measures are law invariant, but with respect to agent-dependent and potentially heterogeneous reference…

风险管理 · 定量金融 2022-05-05 Felix-Benedikt Liebrich

We consider the problem of belief aggregation: given a group of individual agents with probabilistic beliefs over a set of uncertain events, formulate a sensible consensus or aggregate probability distribution over these events. Researchers…

人工智能 · 计算机科学 2013-02-08 David M. Pennock , Michael P. Wellman

We study a model of moral hazard with heterogeneous beliefs where each of agent's actions gives rise to a pair of probability distributions over output levels, one representing the beliefs of the agent and the other those of the principal.…

理论经济学 · 经济学 2021-10-12 Martin Dumav , Urmee Khan , Luca Rigotti

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…

数理金融 · 定量金融 2020-06-04 Ying Hu , Hanqing Jin , Xun Yu Zhou

We consider the mechanism design problem of a principal allocating a single good to one of several agents without monetary transfers. Each agent desires the good and uses it to create value for the principal. We designate this value as the…

理论经济学 · 经济学 2024-06-26 Halil İbrahim Bayrak , Çağıl Koçyiğit , Daniel Kuhn , Mustafa Çelebi Pınar

We provide an operational interpretation of the multivariate R\'enyi divergence in terms of economic-theoretic tasks based on betting, risk aversion, and multiple lotteries. We show that the multivariate R\'enyi divergence…

量子物理 · 物理学 2026-01-27 Andrés F. Ducuara , Erkka Haapasalo , Ryo Takakura

Auctions in which agents' payoffs are random variables have received increased attention in recent years. In particular, recent work in algorithmic mechanism design has produced mechanisms employing internal randomization, partly in…

计算机科学与博弈论 · 计算机科学 2012-06-15 Shaddin Dughmi , Yuval Peres

Agent-based models of opinion dynamics allow one to examine the spread of opinions between entities and to study phenomena such as consensus, polarization, and fragmentation. By studying a model of opinion dynamics on a social network, one…

物理与社会 · 物理学 2023-03-22 Grace J. Li , Mason A. Porter

The classical Merton investment problem predicts deterministic, state-dependent portfolio rules; however, laboratory and field evidence suggests that individuals often prefer randomized decisions leading to stochastic and noisy choices.…

数理金融 · 定量金融 2026-02-17 Min Dai , Yuchao Dong , Yanwei Jia , Xun Yu Zhou

Different models of capital exchange among economic agents have been proposed recently trying to explain the emergence of Pareto's wealth power law distribution. One important factor to be considered is the existence of risk aversion. In…

统计力学 · 物理学 2009-11-10 J. R. Iglesias , S. Goncalves , G. Abramson , J. L. Vega

Consider discrete-time linear distributed averaging dynamics, whereby agents in a network start with uncorrelated and unbiased noisy measurements of a common underlying parameter (state of the world) and iteratively update their estimates…

最优化与控制 · 数学 2023-03-21 Giacomo Como , Fabio Fagnani , Anton V. Proskurnikov

The paper studies an oligopolistic equilibrium model of financial agents who aim to share their random endowments. The risk-sharing securities and their prices are endogenously determined as the outcome of a strategic game played among all…

综合金融 · 定量金融 2016-05-18 Michail Anthropelos

This paper studies the trading volumes and wealth distribution of a novel agent-based model of an artificial financial market. In this model, heterogeneous agents, behaving according to the Von Neumann and Morgenstern utility theory, may…

综合金融 · 定量金融 2015-09-09 Pietro DeLellis , Franco Garofalo , Francesco Lo Iudice , Elena Napoletano

This paper assumes each individual in society has a random discount factor and assesses an intertemporal project using rank-dependent expected utility theory. We consider both the ex ante and the ex post approaches. For the former, we show…

理论经济学 · 经济学 2025-08-26 Wei Ma

We study Pareto-optimal risk sharing in economies with heterogeneous attitudes toward risk, where agents' preferences are modeled by distortion risk measures. Building on comonotonic and counter-monotonic improvement results, we show that…

理论经济学 · 经济学 2025-10-22 Mario Ghossoub , Qinghua Ren , Ruodu Wang

The assignment problem is one of the most well-studied settings in social choice, matching, and discrete allocation. We consider the problem with the additional feature that agents' preferences involve uncertainty. The setting with…

计算机科学与博弈论 · 计算机科学 2016-10-11 Haris Aziz , Ronald de Haan , Baharak Rastegari

We consider the optimal investment and marginal utility pricing problem of a risk averse agent and quantify their exposure to a small amount of model uncertainty. Specifically, we compute explicitly the first-order sensitivity of their…

数理金融 · 定量金融 2021-11-15 Jan Obloj , Johannes Wiesel

This paper presents a method for incorporating risk aversion into existing decision tree models used in economic evaluations. The method involves applying a probability weighting function based on rank dependent utility theory to reduced…

理论经济学 · 经济学 2024-01-24 Jacob Smith

We study how intrinsic hard constraints on the decision dynamics of social agents shape collective decisions on multiple alternatives in a heterogeneous group. Such constraints may arise due to structural and behavioral limitations, such as…

最优化与控制 · 数学 2026-04-10 Vishnudatta Thota , Anastasia Bizyaeva

Networked public goods games model scenarios in which self-interested agents decide whether or how much to invest in an action that benefits not only themselves, but also their network neighbors. Examples include vaccination, security…

计算机科学与博弈论 · 计算机科学 2021-09-03 David Kempe , Sixie Yu , Yevgeniy Vorobeychik
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