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Stabilizing feedback operators are presented which depend only on the orthogonal projection of the state onto the finite-dimensional control space. A class of monotone feedback operators mapping the finite-dimensional control space into…

最优化与控制 · 数学 2025-03-10 Karl Kunisch , Sérgio S. Rodrigues , Daniel Walter

We study combinatorial auctions where each item is sold separately but simultaneously via a second price auction. We ask whether it is possible to efficiently compute in this game a pure Nash equilibrium with social welfare close to the…

计算机科学与博弈论 · 计算机科学 2015-06-10 Shahar Dobzinski , Hu Fu , Robert Kleinberg

We consider the mean-field game where each agent determines the optimal time to exit the game by solving an optimal stopping problem with reward function depending on the density of the state processes of agents still present in the game.…

最优化与控制 · 数学 2020-07-09 Géraldine Bouveret , Roxana Dumitrescu , Peter Tankov

The article develops a general equilibrium model where power relations are central in the determination of unemployment, profitability, and income distribution. The paper contributes to the market forces versus institutions debate by…

综合经济学 · 经济学 2023-09-06 Juan Jacobo

Given two probability measures on sequential data, we investigate the transport problem with time-inconsistent preferences in a discrete-time setting. Motivating examples are nonlinear objectives, state-dependent costs, and regularized…

最优化与控制 · 数学 2025-06-23 Erhan Bayraktar , Bingyan Han

This paper integrates the damped harmonic oscillator into DSGE models to better capture delayed economic adjustments. By introducing a damping coefficient, I model economic recoveries as under-damped, critically damped, or over-damped…

综合经济学 · 经济学 2025-04-08 Wei Chun Hsu

This paper proposes an alternative to the classical price-adjustment mechanism (called "t\^{a}tonnement" after Walras) that is second-order in time. The proposed mechanism, an analogue to the damped harmonic oscillator, provides a dynamic…

综合金融 · 定量金融 2011-08-25 Eric Kemp-Benedict

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…

投资组合管理 · 定量金融 2014-07-03 Carole Bernard , Franck Moraux , Ludger Rueschendorf , Steven Vanduffel

The article discusses a generalization of model of economic growth with constant pace, which takes into account the effects of dynamic memory. Memory means that endogenous or exogenous variable at a given time depends not only on their…

经济学 · 定量金融 2019-04-04 Valentina V. Tarasova , Vasily E. Tarasov

Given a plant subject to delayed sensor measurement, there are several approaches to compensate for the delay. An obvious approach is to address this problem in state space, where the $n$-dimensional plant state is augmented by an…

最优化与控制 · 数学 2023-02-27 Di Cao , Noah J. Cowan , James S. Freudenberg

The paper concerns the study of equilibrium points, or steady states, of economic systems arising in modeling optimal investment with \textit{vintage capital}, namely, systems where all key variables (capitals, investments, prices) are…

最优化与控制 · 数学 2019-05-06 Silvia Faggian , Fausto Gozzi , Peter M. Kort

The paper considers the optimal control problem of inventory of a discrete product in regeneration scheme with a Poisson flow of customer requirements. In the system deferred demand is allowed, the volume of which is limited by a given…

最优化与控制 · 数学 2020-01-31 P. V. Shnurkov , N. A. Vakhtanov

This paper investigates the existence of a G-relaxed optimal control of a controlled stochastic differential delay equation driven by G-Brownian motion (G-SDDE in short). First, we show that optimal control of G-SDDE exists for the finite…

最优化与控制 · 数学 2023-08-29 Omar Kebiri , Nabil Elgroud

This paper deals with optimal prediction in a regime-switching model driven by a continuous-time Markov chain. We extend existing results for geometric Brownian motion by deriving optimal stopping strategies that depend on the current…

概率论 · 数学 2016-06-27 Yue Liu , Nicolas Privault

We study a large economy in which firms cannot compute exact solutions to the non-linear equations that characterize the equilibrium price at which they can sell future output. Instead, firms use polynomial expansions to approximate prices.…

经济学 · 定量金融 2016-11-08 Wolfgang Kuhle

Two issues of algorithmic collusion are addressed in this paper. First, we show that in a general class of symmetric games, including Prisoner's Dilemma, Bertrand competition, and any (nonlinear) mixture of first and second price auction,…

理论经济学 · 经济学 2024-09-05 Zhang Xu , Wei Zhao

The use of equilibrium models in economics springs from the desire for parsimonious models of economic phenomena that take human reasoning into account. This approach has been the cornerstone of modern economic theory. We explain why this…

综合金融 · 定量金融 2008-12-02 J. Doyne Farmer , John Geanakoplos

We consider the problem of designing an expected-revenue maximizing mechanism for allocating multiple non-perishable goods of $k$ varieties to flexible consumers over $T$ time steps. In our model, a random number of goods of each variety…

计算机科学与博弈论 · 计算机科学 2020-07-08 Shiva Navabi , Ashutosh Nayyar

We construct subgame-perfect equilibria with mixed strategies for symmetric stochastic timing games with arbitrary strategic incentives. The strategies are qualitatively different for local first- or second-mover advantages, which we…

最优化与控制 · 数学 2018-05-23 Jan-Henrik Steg

In this paper, we prove that the standard adaptive finite element method with a (modified) `maximum marking strategy' is `instance optimal' for the `total error', being the sum of the energy error and the oscillation. This result will be…

数值分析 · 数学 2017-03-22 Lars Diening , Christian Kreuzer , Rob Stevenson
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