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We study a toy two-player game for periodic double auction markets to generate liquidity. The game has imperfect information, which allows us to link market spreads with signal strength. We characterize Nash equilibria in cases with or…

交易与市场微观结构 · 定量金融 2023-08-01 Joffrey Derchu , Dimitrios Kavvathas , Thibaut Mastrolia , Mathieu Rosenbaum

One index satisfies the duality axiom if one agent, who is uniformly more risk-averse than another, accepts a gamble, the latter accepts any less risky gamble under the index. Aumann and Serrano (2008) show that only one index defined for…

风险管理 · 定量金融 2022-01-07 Zuo Quan Xu

In this paper, we investigate the seeking of Nash equilibrium (NE) in a non-cooperative quadratic game where all agents exchange their delayed strategy information with their neighbors. To extend best-response algorithms to the delayed…

系统与控制 · 电气工程与系统科学 2026-02-24 Kaichen Jiang , Yuyue Yan , Mingda Yue , Yuhu Wu

A gambler walks into a hypothetical fair casino with a very real dollar bill, but by the time he leaves he's exchanged the dollar for a random amount of money. What is lost in the process? It may be that the gambler walks out at the end of…

概率论 · 数学 2015-03-20 Paul Cuff , Thomas Cover , Gowtham Kumar , Lei Zhao

Consider a market where a seller owns an item for sale and a buyer wants to purchase it. Each player has private information, known as their type. It can be costly and difficult for the players to reach an agreement through direct…

计算机科学与博弈论 · 计算机科学 2024-10-29 Zhikang Fan , Weiran Shen

Two sellers compete to sell identical products to a single buyer. Each seller chooses an arbitrary mechanism, possibly involving lotteries, to sell their product. The utility-maximizing buyer can choose to participate in one or both…

计算机科学与博弈论 · 计算机科学 2025-05-27 Brendan Lucier , Raghuvansh R. Saxena

There has been much recent work on the revenue-raising properties of truthful mechanisms for selling goods to selfish bidders. Typically the revenue of a mechanism is compared against a benchmark (such as, the maximum revenue obtainable by…

计算机科学与博弈论 · 计算机科学 2013-01-14 Paul W. Goldberg , Carmine Ventre

Projected gradient ascent is known to satisfy no-external regret as a learning algorithm. However, recent empirical work shows that projected gradient ascent often finds the Nash equilibrium in settings beyond two-player zero-sum…

计算机科学与博弈论 · 计算机科学 2025-06-05 Mete Şeref Ahunbay , Martin Bichler

We study a contextual version of the repeated brokerage problem. In each interaction, two traders with private valuations for an item seek to buy or sell based on the learner's-a broker-proposed price, which is informed by some contextual…

机器学习 · 统计学 2025-03-11 François Bachoc , Tommaso Cesari , Roberto Colomboni

We consider a financial market in which the risk-free rate of interest is modeled as a Markov diffusion. We suppose that home prices are set by a representative home-buyer, who can afford to pay only a fixed cash-flow per unit time for…

数理金融 · 定量金融 2022-03-17 Matthew Lorig , Natchanon Suaysom

In an incomplete semimartingale model of a financial market, we consider several risk-averse financial agents who negotiate the price of a bundle of contingent claims. Assuming that the agents' risk preferences are modelled by convex…

风险管理 · 定量金融 2009-01-22 Michail Anthropelos , Gordan Zitkovic

The use of reinforcement learning algorithms in financial trading is becoming increasingly prevalent. However, the autonomous nature of these algorithms can lead to unexpected outcomes that deviate from traditional game-theoretical…

交易与市场微观结构 · 定量金融 2026-02-16 Fabrizio Lillo , Andrea Macrì

We examine normal-form games in which players may \emph{pre-commit} to outcome-contingent transfers before choosing their actions. In the one-shot version of this model, Jackson and Wilkie showed that side contracting can backfire: even a…

计算机科学与博弈论 · 计算机科学 2025-08-12 Ivan Geffner , Caspar Oesterheld , Vincent Conitzer

We design and analyze attention games that incentivize validators to check computation results. We show that no pure strategy Nash equilibrium of the game without outside parties exists by a simple argument. We then proceed to calculate the…

计算机科学与博弈论 · 计算机科学 2023-08-08 Akaki Mamageishvili , Edward W. Felten

In FX cash markets, market makers provide liquidity to clients for a wide variety of currency pairs. Because of flow uncertainty and market volatility, they face inventory risk. To mitigate this risk, they typically skew their prices to…

交易与市场微观结构 · 定量金融 2023-10-31 Alexander Barzykin , Philippe Bergault , Olivier Guéant

This paper considers an $N$-player stochastic Nash game in which the $i$th player minimizes a composite objective $f_i(x) + r_i(x_i)$, where $f_i$ is expectation-valued and $r_i$ has an efficient prox-evaluation. In this context, we make…

最优化与控制 · 数学 2018-10-26 Jinlong Lei , Uday V. Shanbhag

How do large-scale participants in parimutuel wagering events affect the house and ordinary bettors? A standard narrative suggests that they may temporarily benefit the former at the expense of the latter. To approach this problem, we begin…

最优化与控制 · 数学 2017-03-30 Erhan Bayraktar , Alexander Munk

We provide a natural learning process in which a financial trader without a risk receives a gain in case when Stock Market is inefficient. In this process, the trader rationally choose his gambles using a prediction made by a randomized…

机器学习 · 计算机科学 2011-05-24 Vladimir Trunov , Vladimir V'yugin

We propose a two-layer stochastic game model to study reinsurance contracting and competition in a market with one insurer and two competing reinsurers. The insurer negotiates with both reinsurers simultaneously for proportional reinsurance…

数理金融 · 定量金融 2024-09-23 Zongxia Liang , Yi Xia , Bin Zou

We consider games that have (k,t)-robust equilibria when played with a mediator, where an equilibrium is (k,t)-robust if it tolerates deviations by coalitions of size up to k and deviations by up to $t$ players with unknown utilities. We…

计算机科学与博弈论 · 计算机科学 2007-12-07 Ittai Abraham , Danny Dolev , Joseph Y. Halpern