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This is the third paper in a series concerning the game-theoretic aspects of position-building while in competition. The first paper set forth foundations and laid out the essential goal, which is to minimize implementation costs in light…

Trading and Market Microstructure · Quantitative Finance 2024-10-29 Neil A. Chriss

In this paper we study the price dynamics in a simple model of financial markets with heterogeneous agents. We concentrate on how increases in the total number of active traders influences fluctuations of asset prices. We find that a…

Chaotic Dynamics · Physics 2015-06-26 Taisei Kaizoji

We consider continuous-time mean-field stochastic games with strategic complementarities. The interaction between the representative productive firm and the population of rivals comes through the price at which the produced good is sold and…

Optimization and Control · Mathematics 2024-02-13 Jodi Dianetti , Salvatore Federico , Giorgio Ferrari , Giuseppe Floccari

Coordination games admit two types of equilibria: pure equilibria, where all players successfully coordinate their actions, and mixed equilibria, where players frequently experience miscoordination. The existing literature shows that under…

Theoretical Economics · Economics 2025-01-28 Srinivas Arigapudi , Yuval Heller , Amnon Schreiber

The existence of a (partial) market equilibrium price is proved in a complete, continuous time finite-agent market setting. The economic agents act as price takers in a fully competitive setting and maximize exponential utility from…

Mathematical Finance · Quantitative Finance 2022-12-01 Alessandro Prosperi

We consider a model of oligopolistic competition in a market with search frictions, in which competing firms with products of unknown quality advertise how much information a consumer's visit will glean. In the unique symmetric equilibrium…

Probability · Mathematics 2022-05-27 Pak Hung Au , Mark Whitmeyer

We consider the pricing problem faced by a seller who assigns a price to a good that confers its benefits not only to its buyers, but also to other individuals around them. For example, a snow-blower is potentially useful not only to the…

Computer Science and Game Theory · Computer Science 2013-05-02 Michal Feldman , David Kempe , Brendan Lucier , Renato Paes Leme

We consider a sequential decision model over multi-tier supply chain networks and show that in particular, for series parallel networks, there is a unique equilibrium. We provide a linear time algorithm to compute the equilibrium and study…

Computer Science and Game Theory · Computer Science 2020-09-29 Tao Jiang , Young-San Lin , Thanh Nguyen

This paper examines strategic trading under incomplete information, where firms lack full knowledge of key aspects of their competitors' trading strategies such as target sizes and market impact models. We extend previous work on…

Trading and Market Microstructure · Quantitative Finance 2025-03-25 Neil A. Chriss

We study the conflict between two links in a multiple-input single-output interference channel. This setting is strictly competitive and can be related to perfectly competitive market models. In such models, general equilibrium theory is…

Computer Science and Game Theory · Computer Science 2015-05-30 Rami Mochaourab , Eduard A. Jorswieck

We present a general analysis of multidimensional matching problems with transferable utility, paying particular attention to the case in which the dimensions of heterogeneity on the two sides of the market are unequal. A particular…

Economics · Quantitative Finance 2016-04-21 Pierre-André Chiappori , Robert McCann , Brendan Pass

We define and analyze a multi-agent multi-armed bandit problem in which decision-making agents can observe the choices and rewards of their neighbors. Neighbors are defined by a network graph with heterogeneous and stochastic…

Optimization and Control · Mathematics 2019-05-22 Udari Madhushani , Naomi Ehrich Leonard

We consider a setting where $n$ buyers, with combinatorial preferences over $m$ items, and a seller, running a priority-based allocation mechanism, repeatedly interact. Our goal, from observing limited information about the results of these…

Computer Science and Game Theory · Computer Science 2014-08-29 Avrim Blum , Yishay Mansour , Jamie Morgenstern

In many shopping scenarios, e.g., in online shopping, customers have a large menu of options to choose from. However, most of the buyers do not browse all the options and make decision after considering only a small part of the menu. To…

Computer Science and Game Theory · Computer Science 2018-02-15 Nick Gravin , Zhihao Gavin Tang

The sorting and filtering capabilities offered by modern e-commerce platforms significantly impact customers' purchase decisions, as well as the resulting prices set by competing sellers on these platforms. Motivated by this practical…

Computer Science and Game Theory · Computer Science 2024-08-21 Siddhartha Banerjee , Chamsi Hssaine , Vijay Kamble

This paper extends the optimal-trading framework developed in arXiv:2409.03586v1 to compute optimal strategies with real-world constraints. The aim of the current paper, as with the previous, is to study trading in the context of…

Trading and Market Microstructure · Quantitative Finance 2024-09-26 Neil A. Chriss

The abundance of data about social relationships allows the human behavior to be analyzed as any other natural phenomenon. Here we focus on balance theory, stating that social actors tend to avoid establishing cycles with an odd number of…

Physics and Society · Physics 2024-05-15 Anna Gallo , Diego Garlaschelli , Renaud Lambiotte , Fabio Saracco , Tiziano Squartini

Sponsored search mechanisms have drawn much attention from both academic community and industry in recent years since the seminal papers of [13] and [14]. However, most of the existing literature concentrates on the mechanism design and…

Computer Science and Game Theory · Computer Science 2010-09-01 Jian Liu , Dah Ming Chiu

We formulate an equilibrium model of intraday trading in electricity markets. Agents face balancing constraints between their customers consumption plus intraday sales and their production plus intraday purchases. They have continuously…

Computational Finance · Quantitative Finance 2020-10-20 René Aid , Andrea Cosso , Huyên Pham

Competition has been introduced in the electricity markets with the goal of reducing prices and improving efficiency. The basic idea which stays behind this choice is that, in competitive markets, a greater quantity of the good is exchanged…

Physics and Society · Physics 2009-11-11 Ettore Bompard , Yuchao Ma , Elena Ragazzi