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We propose a learning dynamics to model how strategic agents repeatedly play a continuous game while relying on an information platform to learn an unknown payoff-relevant parameter. In each time step, the platform updates a belief estimate…

Multiagent Systems · Computer Science 2023-11-02 Manxi Wu , Saurabh Amin , Asuman Ozdaglar

We develop a version of the fundamental theorem of asset pricing for discrete-time markets with proportional transaction costs and model uncertainty. A robust notion of no-arbitrage of the second kind is defined and shown to be equivalent…

Mathematical Finance · Quantitative Finance 2014-08-26 Bruno Bouchard , Marcel Nutz

We study a Markov matching market involving a planner and a set of strategic agents on the two sides of the market. At each step, the agents are presented with a dynamical context, where the contexts determine the utilities. The planner…

Machine Learning · Computer Science 2022-03-09 Yifei Min , Tianhao Wang , Ruitu Xu , Zhaoran Wang , Michael I. Jordan , Zhuoran Yang

We study a discrete-time financial market with a single constrained trader, competitive market makers, and noise traders. Within the class of linear equilibria, the equilibrium structure is shown to be uniquely determined by two state…

Mathematical Finance · Quantitative Finance 2025-08-15 Heeyoung Kwon , Jin Hyuk Choi

Spatial partial equilibrium models incorporating conjectural variations are widely used to analyze the development of oligopolistic multi-agent markets, such as international energy and raw material markets. Although this model type can…

Optimization and Control · Mathematics 2015-10-16 Tobias Baltensperger , Rudolf M. Füchslin , Pius Krütli , John Lygeros

Two-sided manufacturing-as-a-service (MaaS) marketplaces connect clients requesting manufacturing services to suppliers providing those services. Matching mechanisms i.e. allocation of clients' orders to suppliers is a key design parameter…

Computer Science and Game Theory · Computer Science 2020-10-27 Deepak Pahwa , Umut Dur , Binil Starly

We propose a heterogeneous agent market model (HAM) in continuous time. The market is populated by fundamental traders and chartists, who both use simple linear trading rules. Most of the related literature explores stability, price…

General Economics · Economics 2019-02-27 Zsolt Bihary , Attila András Víg

Standard rational expectations models with an occasionally binding zero lower bound constraint either admit no solutions (incoherence) or multiple solutions (incompleteness). This paper shows that deviations from full-information rational…

General Economics · Economics 2023-11-01 Guido Ascari , Sophocles Mavroeidis , Nigel McClung

We study many-to-one matching problems between institutions and individuals, where each institution may be matched to multiple individuals. The matching market includes couples, who view pairs of institutions as complementary. Institutions'…

Theoretical Economics · Economics 2025-07-11 Shashwat Khare , Souvik Roy

We introduce a robust optimization model consisting in a family of perturbation functions giving rise to certain pairs of dual optimization problems in which the dual variable depends on the uncertainty parameter. The interest of our…

Optimization and Control · Mathematics 2018-03-14 Nguyen Dinh , Miguel A. Goberna , Marco A. López , Michel Volle

Stability is among the most important concepts in dynamical systems. Local stability is well-studied, whereas determining how "globally stable" a nonlinear system is very challenging. Over the last few decades, many different ideas have…

Dynamical Systems · Mathematics 2022-10-10 Hana Krakovská , Christian Kühn , Iacopo P. Longo

In a many-to-one matchingmodel with responsive preferences in which indifferences are allowed, we study three notions of core, three notions of stability, and their relationships. We show that (i) the core contains the stable set, (ii) the…

Theoretical Economics · Economics 2022-03-31 Agustín G. Bonifacio , Noelia Juarez , Pablo Neme , Jorge Oviedo

This paper is concerned with the study of the stability of dynamical systems evolving on time scales. We first {formalize the notion of matrix measures on time scales, prove some of their key properties and make use of this notion to study…

Dynamical Systems · Mathematics 2022-06-10 Giovanni Russo , Fabian Wirth

The notion of stability in a structured argumentation setup characterizes situations where the acceptance status associated with a given literal will not be impacted by any future evolution of this setup. In this paper, we abstract away…

Artificial Intelligence · Computer Science 2020-12-24 Jean-Guy Mailly , Julien Rossit

We consider piecewise linear discrete time macroeconomic models, which possess a continuum of equilibrium states. These systems are obtained by replacing rational inflation expectations with a boundedly rational, and genuinely sticky,…

Dynamical Systems · Mathematics 2017-11-22 Pavel Krejci , Harbir Lamba , Dmitrii Rachinskii

In the paper a simple discrete dynamical model for dynamics of two antagonistic agents (opponents) under iterated sanctions and counter-sanctions is proposed. The model is inspired with Osipov-Lanchester model for combats. Simple stability…

Optimization and Control · Mathematics 2022-07-19 Alexander Fradkov

We combine geometric data analysis and stochastic modeling to describe the collective dynamics of complex systems. As an example we apply this approach to financial data and focus on the non-stationarity of the market correlation structure.…

Statistical Finance · Quantitative Finance 2015-09-30 Yuriy Stepanov , Philip Rinn , Thomas Guhr , Joachim Peinke , Rudi Schäfer

We consider two sided matching markets consisting of agents with non-transferable utilities; agents from the opposite sides form matching pairs (e.g., buyers-sellers) and negotiate the terms of their math which may include a monetary…

Computer Science and Game Theory · Computer Science 2012-12-05 Saeed Alaei , Kamal Jain , Azarakhsh Malekian

Super-stability is one of the stability concepts in the stable matching problem with ties. It is known that there may not exist a super-stable matching, and the existence of a super-stable matching can be checked in polynomial time. In this…

Computer Science and Game Theory · Computer Science 2024-02-20 Naoyuki Kamiyama

In speculative markets, risk-free profit opportunities are eliminated by traders exploiting them. Markets are therefore often described as "informationally efficient", rapidly removing predictable price changes, and leaving only residual…

Trading and Market Microstructure · Quantitative Finance 2013-10-08 Felix Patzelt , Klaus R. Pawelzik