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In an incomplete semimartingale model of a financial market, we consider several risk-averse financial agents who negotiate the price of a bundle of contingent claims. Assuming that the agents' risk preferences are modelled by convex…

Risk Management · Quantitative Finance 2009-01-22 Michail Anthropelos , Gordan Zitkovic

Platform giants in China have operated with persistently compressed margins in highly concentrated markets for much of the past decade, despite market shares exceeding 60\% in core segments. Standard theory predicts otherwise: either the…

Theoretical Economics · Economics 2026-01-23 Liang Chen

The stability analysis of socioeconomic systems has been centered on answering whether small perturbations when a system is in a given quantitative state will push the system permanently to a different quantitative state. However, typically…

Physics and Society · Physics 2014-09-01 Serguei Saavedra , Rudolf P. Rohr , Luis J. Gilarranz , Jordi Bascompte

We study optimal bundling when consumers differ in one dimension. We introduce a partial order on the set of bundles defined by (i) set inclusion and (ii) sales volumes (if sold alone and priced optimally). We show that if the undominated…

Theoretical Economics · Economics 2023-04-11 Frank Yang

Correlated equilibria enable a coordinator to influence the self-interested agents by recommending actions that no player has an incentive to deviate from. However, the effectiveness of this mechanism relies on accurate knowledge of the…

Computer Science and Game Theory · Computer Science 2026-05-18 Jaehan Im , Ufuk Topcu , David Fridovich-Keil

We study how to optimally segment monopolistic markets with a redistributive objective. We characterize optimal redistributive segmentations and show that they (i) induce the seller to price progressively, i.e., charge richer consumers…

Theoretical Economics · Economics 2026-05-14 Victor Augias , Alexis Ghersengorin , Daniel M. A. Barreto

This paper studies a spatial competition game between two firms that sell a homogeneous good at some pre-determined fixed price. A population of consumers is spread out over the real line, and the two firms simultaneously choose location in…

Optimization and Control · Mathematics 2020-01-31 Gaëtan Fournier , Karine Van Der Straeten , Jörgen Weibull

A parametric constrained convex optimal control problem, where the initial state is perturbed and the linear state equation contains a noise, is considered in this paper. Formulas for computing the subdifferential and the singular…

Optimization and Control · Mathematics 2017-07-14 Duong Thi Viet An , Jen-Chih Yao , Nguyen Dong Yen

We show that when firms compete via supply functions, transferring high-cost capacity to the largest, most efficient firm--thereby diversifying its production technologies while increasing concentration--can lower prices by prompting the…

General Economics · Economics 2025-04-08 Michele Fioretti , Junnan He , Jorge Tamayo

We study the concurrence of arbitrary multipartite mixed quantum states. An explicit lower bound of the concurrence is derived, which detects quantum entanglement of some states better than some separability criteria, and gives sufficient…

Quantum Physics · Physics 2009-11-13 Ming Li , Shao-Ming Fei , Zhi-XiWang

We analyze competition on nonlinear prices in homogeneous goods markets with consumer search. In equilibrium firms offer two-part tariffs consisting of a linear price and lump-sum fee. The equilibrium production is socially efficient as the…

Theoretical Economics · Economics 2021-10-01 Atabek Atayev

Industries can enter one country first, and then enter its neighbors' markets. Firms in the industry can expand trade network through the export behavior of other firms in the industry. If a firm is dependent on a few foreign markets, the…

General Economics · Economics 2020-12-15 Xuejian Wang

Technological advancement has lead to an increase in number and type of trading venues and diversification of goods traded. These changes have re-emphasized the importance of understanding the effects of market competition: does…

Trading and Market Microstructure · Quantitative Finance 2021-08-24 Robin Nicole , Aleksandra Alorić , Peter Sollich

Pricing decisions are often made when market information is still poor. In turn, existing theoretical models often reason about the response of optimal prices to changing market characteristics without exploiting all available information…

Optimization and Control · Mathematics 2021-07-19 Stefanos Leonardos , Costis Melolidakis , Constandina Koki

We compare the profit of the optimal third-degree price discrimination policy against a uniform pricing policy. A uniform pricing policy offers the same price to all segments of the market. Our main result establishes that for a broad class…

General Economics · Economics 2021-11-16 Dirk Bergemann , Francisco Castro , Gabriel Weintraub

Wholesale electricity market designs in practice do not provide the market participants with adequate mechanisms to hedge their financial risks. Demanders and suppliers will likely face even greater risks with the deepening penetration of…

Optimization and Control · Mathematics 2017-04-04 Khaled Alshehri , Subhonmesh Bose , Tamer Başar

For a class of quasi-variational inequalities (QVIs) of obstacle-type the stability of its solution set and associated optimal control problems are considered. These optimal control problems are non-standard in the sense that they involve…

Optimization and Control · Mathematics 2020-08-25 Amal Alphonse , Michael Hintermüller , Carlos N. Rautenberg

We introduce a quantitative approach to comparative statics that allows to bound the maximum effect of an exogenous parameter change on a system's equilibrium. The motivation for this approach is a well known paradox in multimarket Cournot…

Computer Science and Game Theory · Computer Science 2015-12-04 Tobias Harks , Philipp von Falkenhausen

The performance of decision policies and prediction models often deteriorates when applied to environments different from the ones seen during training. To ensure reliable operation, we analyze the stability of a system under distribution…

Machine Learning · Statistics 2026-02-13 Hongseok Namkoong , Yuanzhe Ma , Peter W. Glynn

We show that non-domination results for targets that are not dominated by products are stable under Cartesian products.

Geometric Topology · Mathematics 2016-04-05 D. Kotschick , C. Loeh , C. Neofytidis