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The relationship between price volatilty and a market extremum is examined using a fundamental economics model of supply and demand. By examining randomness through a microeconomic setting, we obtain the implications of randomness in the…

Mathematical Finance · Quantitative Finance 2018-07-31 Carey Caginalp , Gunduz Caginalp

Financial firms and institutional investors are routinely evaluated based on their performance relative to their peers. These relative performance concerns significantly influence risk-taking behavior and market dynamics. While the…

Mathematical Finance · Quantitative Finance 2025-12-29 Masaaki Fujii

We prove the existence of an equilibrium in a model with transaction costs and price impact where two agents are incentivized to trade towards a target. The two types of frictions -- price impact and transaction costs -- lead the agents to…

Mathematical Finance · Quantitative Finance 2020-02-20 Eunjung Noh , Kim Weston

Pertaining to Agent-based Computational Economics (ACE), this work presents two models for the rise and downfall of speculative bubbles through an exchange price fixing based on double auction mechanisms. The first model is based on a…

Computer Science and Game Theory · Computer Science 2016-08-16 Yann Semet , Sylvain Gelly , Marc Schoenauer , Michèle Sebag

We study a market model in which the volatility of the stock may jump at a random time from a fixed value to another fixed value. This model was already described in the literature. We present a new approach to the problem, based on partial…

Statistical Mechanics · Physics 2008-12-02 Miquel Montero

Identical products being sold at different prices in different locations is a common phenomenon. Price differences might occur due to various reasons such as shipping costs, trade restrictions and price discrimination. To model such…

Computer Science and Game Theory · Computer Science 2010-08-02 Sourav Chakraborty , Nikhil Devanur , Chinmay Karande

We study an agent-based stock market model with heterogeneous agents and friction. Our model is based on that of Foellmer-Schweizer(1993): The process of a stock price in a discrete-time framework is determined by temporary equilibria via…

Probability · Mathematics 2013-01-29 Takashi Kato

Our goal is to analyze the system of Hamilton-Jacobi-Bellman equations arising in derivative securities pricing models. The European style of an option price is constructed as a difference of the certainty equivalents to the value functions…

Analysis of PDEs · Mathematics 2021-08-31 Pedro Polvora , Daniel Sevcovic

We investigate the dynamics of a trust game on a mixed population where individuals with the role of buyers are forced to play against a predetermined number of sellers, whom they choose dynamically. Agents with the role of sellers are also…

General Finance · Quantitative Finance 2013-01-11 Tiago P. Peixoto , Stefan Bornholdt

In Part II of this paper, we concentrate our analysis on the price dynamical model with the moving average rules developed in Part I of this paper. By decomposing the excessive demand function, we reveal that it is the interplay between…

Trading and Market Microstructure · Quantitative Finance 2016-11-18 Li-Xin Wang

The classical discrete time model of proportional transaction costs relies on the assumption that a feasible portfolio process has solvent increments at each step. We extend this setting in two directions, allowing for convex transaction…

Mathematical Finance · Quantitative Finance 2021-01-15 Emmanuel Lepinette , Ilya Molchanov

We develop a market model in which products generate state-dependent potential hidden charges. Firms differ in their ability to realize this potential. Unlike firms, consumers do not observe the state. They try to infer hidden charges from…

Theoretical Economics · Economics 2024-09-24 Yair Antler ad Ran Spiegler

This paper introduces an agent-based artificial financial market in which heterogeneous agents trade one single asset through a realistic trading mechanism for price formation. Agents are initially endowed with a finite amount of cash and a…

Statistical Mechanics · Physics 2009-11-07 Marco Raberto , Silvano Cincotti , Sergio M. Focardi , Michele Marchesi

The continuous-time version of Kyle's (1985) model is studied, in which market makers are not fiduciaries. They have some market power which they utilize to set the price to their advantage, resulting in positive expected profits. This has…

Trading and Market Microstructure · Quantitative Finance 2019-08-26 Knut Aase , Bernt Øksendal

We develop a tractable equilibrium model for price formation in intraday electricity markets in the presence of intermittent renewable generation. Using stochastic control theory, we identify the optimal strategies of agents with market…

Pricing of Securities · Quantitative Finance 2021-07-01 Olivier Féron , Peter Tankov , Laura Tinsi

We consider fundamental questions of arbitrage pricing arising when the uncertainty model is given by a set of possible mutually singular probability measures. With a single probability model, essential equivalence between the absence of…

General Finance · Quantitative Finance 2016-11-26 Patrick Beißner

This paper proposes a risk-averse approach to energy storage price arbitrage, leveraging conformal uncertainty quantification for electricity price predictions. The method addresses the significant challenges posed by the inherent…

Optimization and Control · Mathematics 2024-12-11 Saud Alghumayjan , Ming Yi , Bolun Xu

We consider the problem of maximizing portfolio value when an agent has a subjective view on asset value which differs from the traded market price. The agent's trades will have a price impact which affect the price at which the asset is…

Mathematical Finance · Quantitative Finance 2020-10-13 Ryan Donnelly , Matthew Lorig

We consider a financial market in which traders potentially face restrictions in trading some of the available securities. Traders are heterogeneous with respect to their beliefs and risk profiles, and the market is assumed thin: traders…

Economics · Quantitative Finance 2023-12-06 Michail Anthropelos , Constantinos Kardaras

We consider portfolio selection under nonparametric $\alpha$-maxmin ambiguity in the neighbourhood of a reference distribution. We show strict concavity of the portfolio problem under ambiguity aversion. Implied demand functions are…

General Economics · Economics 2022-06-22 Michail Anthropelos , Paul Schneider
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