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We prove the global existence of an incomplete, continuous-time finite-agent Radner equilibrium in which exponential agents optimize their expected utility over both running consumption and terminal wealth. The market consists of a traded…

数理金融 · 定量金融 2018-09-18 Kim Weston , Gordan Zitkovic

The existence of complete Radner equilibria is established in an economy which parameters are driven by a diffusion process. Our results complement those in the literature. In particular, we work under essentially minimal regularity…

概率论 · 数学 2015-01-05 Dmitry Kramkov

We study existence and uniqueness of continuous-time stochastic Radner equilibria in an incomplete market model among a group of agents whose preference is characterized by cash invariant time-consistent monetary utilities. An assumption of…

概率论 · 数学 2017-02-07 Constantinos Kardaras , Hao Xing , Gordan Žitković

In an incomplete continuous-time securities market with uncertainty generated by Brownian motions, we derive closed-form solutions for the equilibrium interest rate and market price of risk processes. The economy has a finite number of…

综合金融 · 定量金融 2012-01-06 Peter Ove Christensen , Kasper Larsen

We prove the existence of a Radner equilibrium in a model with proportional transaction costs on an infinite time horizon and analyze the effect of transaction costs on the endogenously determined interest rate. Two agents receive…

数理金融 · 定量金融 2018-02-27 Kim Weston

Motivated by an equilibrium problem, we establish the existence of a solution for a family of Markovian backward stochastic differential equations with quadratic nonlinearity and discontinuity in $Z$. Using unique continuation and backward…

概率论 · 数学 2021-05-07 Luis Escauriaza , Daniel C. Schwarz , Hao Xing

Existence of stochastic financial equilibria giving rise to semimartingale asset prices is established under a general class of assumptions. These equilibria are expressed in real terms and span complete markets or markets with withdrawal…

证券定价 · 定量金融 2008-12-02 Gordan Zitkovic

We prove existence and uniqueness of stochastic equilibria in a class of incomplete continuous-time financial environments where the market participants are exponential utility maximizers with heterogeneous risk-aversion coefficients and…

综合金融 · 定量金融 2010-06-02 Gordan Zitkovic

This paper develops a new methodology for studying continuous-time Nash equilibrium in a financial market with asymmetrically informed agents. This approach allows us to lift the restriction of risk neutrality imposed on market makers by…

概率论 · 数学 2016-09-05 Umut Çetin , Albina Danilova

For time-inconsistent stochastic controls in discrete time and finite horizon, an open problem in Bj\"ork and Murgoci (Finance Stoch, 2014) is the existence of an equilibrium control. A nonrandomized Borel measurable Markov equilibrium…

最优化与控制 · 数学 2023-12-18 Erhan Bayraktar , Bingyan Han

We investigate the possibility of completing financial markets in a model with no exogenous probability measure and market imperfections. A necessary and sufficient condition is obtained for such extension to be possible.

数理金融 · 定量金融 2021-09-15 Gianluca Cassese

In this paper, we study a generalization of Markov games and pseudo-games that we call Markov pseudo-games, which, like the former, captures time and uncertainty, and like the latter, allows for the players' actions to determine the set of…

计算机科学与博弈论 · 计算机科学 2025-08-21 Denizalp Goktas , Sadie Zhao , Yiling Chen , Amy Greenwald

We consider a competitive market with risk-averse participants. We assume that agents' risks are measured by coherent risk measures introduced by Artzner et al. (1999). Fundamental theorems of welfare economics have long established the…

最优化与控制 · 数学 2025-04-28 Iman Khajepour , Geoffrey Pritchard , Danny Ralph , Golbon Zakeri

We prove the existence of a Markov-perfect equilibrium in randomized stopping times for a model of the war of attrition in which the underlying state variable follows a homogenous linear diffusion. The proof uses the fact that the space of…

最优化与控制 · 数学 2025-07-21 Jean-Paul Décamps , Fabien Gensbittel , Thomas Mariotti

We introduce a new class of combinatorial markets in which agents have covering constraints over resources required and are interested in delay minimization. Our market model is applicable to several settings including scheduling, cloud…

计算机科学与博弈论 · 计算机科学 2017-04-17 Nikhil Devanur , Jugal Garg , Ruta Mehta , Vijay V. Vazirani , Sadra Yazdanbod

We investigate the possibility of statistical evaluation of the market completeness for discrete time stock market models. It is known that the market completeness is not a robust property: small random deviations of the coefficients…

数理金融 · 定量金融 2015-05-05 Nikolai Dokuchaev

This paper establishes the existence of equilibrium in an economy with production and a continuum of consumers, each of whose incomplete and price-dependent preferences are defined on commodities they may consider deleterious, bads which…

理论经济学 · 经济学 2025-11-04 Robert M. Anderson , Haosui Duanmu , M. Ali Khan , Metin Uyanik

We construct continuous-time equilibrium models based on a finite number of exponential utility investors. The investors' income rates as well as the stock's dividend rate are governed by discontinuous Levy processes. Our main result…

数理金融 · 定量金融 2015-07-14 Kasper Larsen , Tanawit Sae Sue

General equilibrium, the cornerstone of modern economics and finance, rests on assumptions many markets do not meet. Spectrum auctions, electricity markets, and cap-and-trade programs for resource rights often feature non-convexities in…

理论经济学 · 经济学 2023-05-11 Jacob K Goeree

We consider a continuous-time game-theoretic model of an investment market with short-lived assets and endogenous asset prices. The first goal of the paper is to formulate a stochastic equation which determines wealth processes of investors…

数理金融 · 定量金融 2020-09-01 Mikhail Zhitlukhin
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