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We consider a single buyer with a combinatorial preference that would like to purchase related products and services from different vendors, where each vendor supplies exactly one product. We study the general case where subsets of products…

Computer Science and Game Theory · Computer Science 2014-01-09 Moshe Babaioff , Noam Nisan , Renato Paes Leme

We study the price competition in a duopoly with an arbitrary number of buyers. Each seller can offer multiple units of a commodity depending on the availability of the commodity which is random and may be different for different sellers.…

Computer Science and Game Theory · Computer Science 2016-11-15 Mohammad Hassan Lotfi , Saswati Sarkar

We study a toy two-player game for periodic double auction markets to generate liquidity. The game has imperfect information, which allows us to link market spreads with signal strength. We characterize Nash equilibria in cases with or…

Trading and Market Microstructure · Quantitative Finance 2023-08-01 Joffrey Derchu , Dimitrios Kavvathas , Thibaut Mastrolia , Mathieu Rosenbaum

I construct a novel random double auction as a robust bilateral trading mechanism for a profit-maximizing intermediary who facilitates trade between a buyer and a seller. It works as follows. The intermediary publicly commits to charging a…

Theoretical Economics · Economics 2022-05-11 Wanchang Zhang

The paper deals with a class of parametrized equilibrium problems, where the objectives of the players do possess nonsmooth terms. The respective Nash equilibria can be characterized via a parameter-dependent variational inequality of the…

Optimization and Control · Mathematics 2019-11-06 Jiří V. Outrata , Jan Valdman

We study a new kind of non-zero-sum stochastic differential game with mixed impulse/switching controls, motivated by strategic competition in commodity markets. A representative upstream firm produces a commodity that is used by a…

Mathematical Finance · Quantitative Finance 2020-06-09 René Aïd , Luciano Campi , Liangchen Li , Mike Ludkovski

We study gains from trade in multi-dimensional two-sided markets. Specifically, we focus on a setting with $n$ heterogeneous items, where each item is owned by a different seller $i$, and there is a constrained-additive buyer with…

Computer Science and Game Theory · Computer Science 2022-03-15 Yang Cai , Kira Goldner , Steven Ma , Mingfei Zhao

This paper studies the optimal extraction policy of an oil field as well as the efficient taxation of the revenues generated. Taking into account the fact that the oil price in worldwide commodity markets fluctuates randomly following…

Optimization and Control · Mathematics 2017-04-18 Moustapha Pemy

We consider two competing platforms operating in a two-sided market and offering identical services to their customers at potentially different prices. The objective of each platform is to maximize its throughput or revenue by suitably…

Optimization and Control · Mathematics 2020-02-03 Mansi Sood , Ankur A. Kulkarni , Sharayu Moharir

We study optimal behavior of energy producers under a CO_2 emission abatement program. We focus on a two-player discrete-time model where each producer is sequentially optimizing her emission and production schedules. The game-theoretic…

Optimization and Control · Mathematics 2010-08-24 Michael Ludkovski

The Ricardian model of world trade based on comparative advantage is not sufficient to justify equal trade relations.The existing model of trade relations does not explain the distribution of income among trading countries. This paper…

Trading and Market Microstructure · Quantitative Finance 2025-05-12 N. S. Gonchar , O. P. Dovzhyk , A. S. Zhokhin , W. H. Kozyrsky , A. P. Makhort

The idea of this paper is an advanced game concept. This concept is expected to model non-monetary bilateral cooperations between self-interested agents. Such non-monetary cases are social cooperations like allocation of high level jobs or…

Computer Science and Game Theory · Computer Science 2009-05-25 Rustam Tagiew

The paper analyses trade between the most developed economies of the world. The analysis is based on the previously proposed model of international trade. This model of international trade is based on the theory of general economic…

Trading and Market Microstructure · Quantitative Finance 2025-03-24 N. S. Gonchar , O. P. Dovzhyk , A. S. Zhokhin , W. H. Kozyrski , A. P. Makhort

We propose a novel method to find Nash equilibria in games with binary decision variables by including compensation payments and incentive-compatibility constraints from non-cooperative game theory directly into an optimization framework in…

Optimization and Control · Mathematics 2017-10-10 Daniel Huppmann , Sauleh Siddiqui

We introduce pricing formulas for competition and collusion models of two-sided markets with an outside option. For the competition model, we find conditions under which prices and consumer surplus may increase or decrease if the outside…

General Economics · Economics 2025-05-12 Cristian Chica , Yinglong Guo , Gilad Lerman

The purpose of the present paper is the analysis of a model describing how herd behaviour and self-fulfilling prophecies can influence currency exchange rates, and what the impact of a currency transaction tax would be. These considerations…

Probability · Mathematics 2007-05-23 Frederik Herzberg

We define and study a lending game to model the interbank money market, in which lending banks strategically allocate their cash to borrowing banks. The interest rate offered by each borrowing bank is within the interest rate corridor set…

Computer Science and Game Theory · Computer Science 2026-02-18 Jinyun Tong , Bart de Keijzer , Haoxiang Wang , Carmine Ventre

We study a multi-player stochastic differential game, where agents interact through their joint price impact on an asset that they trade to exploit a common trading signal. In this context, we prove that a closed-loop Nash equilibrium…

Mathematical Finance · Quantitative Finance 2023-06-23 Alessandro Micheli , Johannes Muhle-Karbe , Eyal Neuman

Bilateral trade models the task of intermediating between two strategic agents, a seller and a buyer, willing to trade a good for which they hold private valuations. We study this problem from the perspective of a broker, in a regret…

Computer Science and Game Theory · Computer Science 2025-09-29 Simone Di Gregorio , Paul Dütting , Federico Fusco , Chris Schwiegelshohn

Agents attempt to maximize expected profits earned by selling multiple units of a perishable product where their revenue streams are affected by the prices they quote as well as the distribution of other prices quoted in the market by other…

Trading and Market Microstructure · Quantitative Finance 2025-04-16 Ryan Donnelly , Zi Li