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We extend the fundamental theorem of asset pricing to a model where the risky stock is subject to proportional transaction costs in the form of bid-ask spreads and the bank account has different interest rates for borrowing and lending. We…

Pricing of Securities · Quantitative Finance 2008-12-02 Alet Roux

We study the problem of designing mechanisms for trading networks that satisfy four desired properties: dominant-strategy incentive compatibility, efficiency, weak budget balance (WBB), and individual rationality (IR). Although there exist…

Computer Science and Game Theory · Computer Science 2022-08-22 Takayuki Osogami , Segev Wasserkrug , Elisheva S. Shamash

We study a continuous-time version of the intermediation model of Grossman and Miller (1988). To wit, we solve for the competitive equilibrium prices at which liquidity takers' demands are absorbed by dealers with quadratic inventory costs,…

Trading and Market Microstructure · Quantitative Finance 2021-03-03 Peter Bank , Ibrahim Ekren , Johannes Muhle-Karbe

We consider an optimal trading problem under a market impact model with endogenous market resistance generated by a sophisticated trader who (partially) detects metaorders and trades against them to exploit price overreactions induced by…

Trading and Market Microstructure · Quantitative Finance 2026-02-05 Nathan De Carvalho , Youssef Ouazzani Chahdi , Grégoire Szymanski

Cross-group externalities and network effects in two-sided platform markets shape market structure and competition policy, and are the subject of extensive study. Less understood are the within-group externalities that arise when the…

Theoretical Economics · Economics 2020-11-10 Quitzé Valenzuela-Stookey

Traders in a market typically have widely different, private information on the return of an asset. The equilibrium price of the asset may reflect this information more accurately if the number of traders is large enough compared to the…

Statistical Mechanics · Physics 2019-08-17 Johannes Berg , Matteo Marsili , Aldo Rustichini , Riccardo Zecchina

Resource competition is a fundamental interaction in natural communities.However little is known about competition in spatial environments where organisms are able to regulate resource distributions. Here, we analyze the competition of two…

Populations and Evolution · Quantitative Biology 2011-02-24 Alexei B. Ryabov , Bernd Blasius

The consensus that complexity begets stability in ecosystems was challenged in the seventies, a result recently extended to ecologically-inspired networks. The approaches assume the existence of a feasible equilibrium, i.e. with positive…

Populations and Evolution · Quantitative Biology 2016-12-21 Michael Dougoud , Laura Vinckenbosch , Rudolf Rohr , Louis-Félix Bersier , Christian Mazza

We study equilibria of markets with $m$ heterogeneous indivisible goods and $n$ consumers with combinatorial preferences. It is well known that a competitive equilibrium is not guaranteed to exist when valuations are not gross substitutes.…

Computer Science and Game Theory · Computer Science 2014-06-04 Shahar Dobzinski , Michal Feldman , Inbal Talgam-Cohen , Omri Weinstein

This paper studies an equity market of stochastic dimension, where the number of assets fluctuates over time. In such a market, we develop the fundamental theorem of asset pricing, which provides the equivalence of the following statements:…

Mathematical Finance · Quantitative Finance 2023-09-06 Erhan Bayraktar , Donghan Kim , Abhishek Tilva

Although classical economic theory is based on the concept of stable equilibrium, real economic systems appear to be always out of equilibrium. Indeed, they share many of the dynamical features of other complex systems, e.g., ecological…

Physics and Society · Physics 2010-11-16 Sitabhra Sinha

Network economics is the study of a rich class of equilibrium problems that occur in the real world, from traffic management to supply chains and two-sided online marketplaces. In this paper we explore causal inference in network economics,…

Optimization and Control · Mathematics 2021-09-24 Sridhar Mahadevan

Exploring the possible consequences of spatial reciprocity on the evolution of cooperation is an intensively studied research avenue. Related works assumed a certain interaction graph of competing players and studied how particular…

Populations and Evolution · Quantitative Biology 2021-02-09 B. F. de Oliveira , A. Szolnoki

We develop a behavioral asset pricing model in which agents trade in a market with information friction. Profit-maximizing agents switch between trading strategies in response to dynamic market conditions. Due to noisy private information…

Trading and Market Microstructure · Quantitative Finance 2019-05-02 Zhentao Shi , Huanhuan Zheng

We investigate the general structure of optimal investment and consumption with small proportional transaction costs. For a safe asset and a risky asset with general continuous dynamics, traded with random and time-varying but small…

Portfolio Management · Quantitative Finance 2015-05-18 Jan Kallsen , Johannes Muhle-Karbe

While historically, economists have been primarily occupied with analyzing the behaviour of the markets, electronic trading gave rise to a new class of unprecedented problems associated with market fairness, transparency and manipulation.…

Cryptography and Security · Computer Science 2019-10-02 Vasilios Mavroudis , Hayden Melton

Reduced installation and operating costs give energy storage systems an opportunity to participate actively and profitably in electricity markets. In addition to providing ancillary services, energy storage systems can also arbitrage…

Optimization and Control · Mathematics 2017-02-17 Yishen Wang , Yury Dvorkin , Ricardo Fernández-Blanco , Bolun Xu , Daniel S. Kirschen

Interaction strategies for reward in competitive environments are significantly influenced by the nature and extent of available information. In financial markets, particularly foreign exchange (forex), traders operate independently with…

Computational Engineering, Finance, and Science · Computer Science 2024-12-03 Patrick Naivasha , George Musumba , Patrick Gikunda , John Wandeto

Non-equilibrium phenomena occur not only in physical world, but also in finance. In this work, stochastic relaxational dynamics (together with path integrals) is applied to option pricing theory. A recently proposed model (by Ilinski et…

Statistical Mechanics · Physics 2009-10-31 Matthias Otto

Economic and financial networks play a crucial role in various important processes, including economic integration, globalization, and financial crises. Of particular interest is understanding whether the temporal evolution of a real…

Physics and Society · Physics 2014-05-08 Tiziano Squartini , Diego Garlaschelli