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An attempt to merge into a single model, which reduces to the solution of non-smooth convex optimization problem: calculation model of OD-matrix (entropy model), the mode split model and the model of the equilibrium distribution of flows…

最优化与控制 · 数学 2016-06-30 Alexander Gasnikov , Yuriy Dorn , Yurii Nesterov , Sergey Shpirko

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

In this paper, we derive a formula for the present value of future consumer goods multiplier based on the assumption that a constant share of investment in the production of consumer goods is expected. The present value appears to be an…

理论经济学 · 经济学 2024-02-08 Ihor Kendiukhov

We extend the study of learning in games to dynamics that exhibit non-asymptotic stability. We do so through the notion of uniform stability, which is concerned with equilibria of individually utility-seeking dynamics. Perhaps surprisingly,…

计算机科学与博弈论 · 计算机科学 2025-10-17 Geelon So , Yi-An Ma

We study the open question of how players learn to play a social optimum pure-strategy Nash equilibrium (PSNE) through repeated interactions in general-sum coordination games. A social optimum of a game is the stable Pareto-optimal state…

计算机科学与博弈论 · 计算机科学 2023-07-26 Duong Nguyen , Langford White , Hung Nguyen

We study delay-independent stability in nonlinear models with a distributed delay which have a positive equilibrium. Such models frequently occur in population dynamics and other applications. In particular, we construct a relevant…

动力系统 · 数学 2009-01-12 Elena Braverman , Sergey Zhukovskiy

We apply Blackwell optimality to repeated games. An equilibrium whose strategy profile is sequentially rational for all high enough discount factors simultaneously is a Blackwell (subgame-perfect, perfect public, etc.) equilibrium. The bite…

理论经济学 · 经济学 2025-01-13 Costas Cavounidis , Sambuddha Ghosh , Johannes Hörner , Eilon Solan , Satoru Takahashi

During the Great Recession, Democrats in the United States argued that government spending could be utilized to "grease the wheels" of the economy in order to create wealth and to increase employment; Republicans, on the other hand,…

综合经济学 · 经济学 2021-04-06 Philip A. Ernst , Michael B. Imerman , Larry Shepp , Quan Zhou

This paper provides a general characterization of subgame perfect equilibria for strategic timing problems, where two firms have the (real) option to make an irreversible investment. Profit streams are uncertain and depend on the market…

经济学 · 定量金融 2018-05-23 Jan-Henrik Steg

We consider the optimization of a dynamical system by switching at discrete time points between abstract evolution equations composed by nonlinearly perturbed strongly continuous semigroups, nonlinear state reset maps at mode transition…

最优化与控制 · 数学 2016-05-18 Fabian Rueffler , Falk M. Hante

We consider non-standard Markov Decision Processes (MDPs) where the target function is not only a simple expectation of the accumulated reward. Instead, we consider rather general functionals of the joint distribution of terminal state and…

最优化与控制 · 数学 2025-10-16 Nicole Bäuerle , Tamara Göll , Anna Jaśkiewicz

This chapter explores the role of substitutability in economic models, particularly in the context of optimal transport and matching models. In equilibrium models with substitutability, market-clearing prices can often be recovered using…

理论经济学 · 经济学 2024-05-14 Alfred Galichon , Antoine Jacquet

We propose a pseudo-market solution to resource allocation problems subject to constraints. Our treatment of constraints is general: including bihierarchical constraints due to considerations of diversity in school choice, or scheduling in…

理论经济学 · 经济学 2020-11-09 Federico Echenique , Antonio Miralles , Jun Zhang

We introduce an analytical model to study the evolution towards equilibrium in spatial games, with `memory-aware' agents, i.e., agents that accumulate their payoff over time. In particular, we focus our attention on the spatial Prisoner's…

物理与社会 · 物理学 2016-03-23 Marco Alberto Javarone

In this paper we consider a fourth order nonlinear parabolic delayed problem modelling a quasi-instantaneous turn-over of linkages in the context of cell-motility. The model depends on a small parameter $\epsilon$ which represents a typical…

偏微分方程分析 · 数学 2024-12-03 Vuk Milisic , Philippe Souplet

Economic growth depends on capital investments and on investments in education and innovation. The model introduced here will specifiy aggregate output as determined by aggregate supply of capital and education investment. After formulating…

动力系统 · 数学 2025-12-10 Ferdinand Verhulst

This study investigates the development of an optimal execution strategy through reinforcement learning, aiming to determine the most effective approach for traders to buy and sell inventory within a finite time horizon. Our proposed model…

交易与市场微观结构 · 定量金融 2025-11-04 Yadh Hafsi , Edoardo Vittori

In this paper, we deal with the equilibrium selection problem, which amounts to steering a population of individuals engaged in strategic game-theoretic interactions to a desired collective behavior. In the literature, this problem has been…

系统与控制 · 电气工程与系统科学 2025-11-11 Lorenzo Zino , Mengbin Ye , Giuseppe Carlo Calafiore , Alessandro Rizzo

A well-known feature of overlapping generations economies is that the First Welfare Theorem fails and equilibrium may be inefficient. The Cass (1972) criterion furnishes a necessary and sufficient condition for efficiency, but it does not…

理论经济学 · 经济学 2026-05-15 Leandro Lyra Braga Dognini

Nowadays, there is an increasing concern about the unsustainability of the take-make-dispose paradigm upon which traditional production and consumption systems are built. The concept of circular economy is gaining attention as a potential…

动力系统 · 数学 2024-11-21 Federico Zocco , Monica Malvezzi