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The global dynamics is investigated for a duopoly game where the perfect foresight hypothesis is relaxed and firms are worst-case maximizers. Overlooking the degree of product substitutability as well as the sensitivity of price to…

Theoretical Economics · Economics 2023-11-21 Davide Radi , Laura Gardini

We study continuous time Bertrand oligopolies in which a small number of firms producing similar goods compete with one another by setting prices. We first analyze a static version of this game in order to better understand the strategies…

Optimization and Control · Mathematics 2010-07-01 Andrew Ledvina , Ronnie Sircar

This paper studies a duopoly investment model with uncertainty. There are two alternative irreversible investments. The first firm to invest gets a monopoly benefit for a specified period of time. The second firm to invest gets information…

Optimization and Control · Mathematics 2019-03-01 Kristina Rognlien Dahl , Espen Stokkereit

This paper investigates the efficiency loss in social cost caused by strategic bidding behavior of individual participants in a supply-demand balancing market, and proposes a mechanism to fully recover equilibrium social optimum via…

Optimization and Control · Mathematics 2021-06-22 Kaiying Lin , Beibei Wang , Pengcheng You

The distribution of efficient individuals in the economy and the efforts that they will put in if they are hired, there are two important concerns for a technologically advanced firm. wants to open a new branch. The firm does not have…

Computer Science and Game Theory · Computer Science 2025-01-27 Sujata Goala , Mridu Prabal Goswami , Surajit Borkotokey

We consider a variant of Cournot competition, where multiple firms allocate the same amount of resource across multiple markets. We prove that the game has a unique pure-strategy Nash equilibrium (NE), which is symmetric and is…

Optimization and Control · Mathematics 2020-12-15 Ruda Zhang , Roger Ghanem

In this paper, we consider a network of consumers who are under the combined influence of their neighbors and external influencing entities (the marketers). The consumers' opinion follows a hybrid dynamics whose opinion jumps are due to the…

Theoretical Economics · Economics 2020-11-19 Vineeth S. Varma , Samson Lasaulce , Julien Mounthanyvong , Irinel-Constantin Morarescu

In this paper, we introduce a preliminary model for interactions in the data market. Recent research has shown ways in which a data aggregator can design mechanisms for users to ensure the quality of data, even in situations where the users…

Computer Science and Game Theory · Computer Science 2017-04-06 Tyler Westenbroek , Roy Dong , Lillian J. Ratliff , S. Shankar Sastry

We consider a market in which both suppliers and consumers compete for a product via scalar-parameterized supply offers and demand bids. Scalar-parameterized offers/bids are appealing due to their modeling simplicity and desirable…

General Economics · Economics 2020-03-04 Mariola Ndrio , Khaled Alshehri , Subhonmesh Bose

Both classical and quantum version of two models of price competition in duopoly market, the one is realistic and the other is idealized, are investigated. The pure strategy Nash equilibria of the realistic model exists under stricter…

Quantum Physics · Physics 2010-03-25 Yohei Sekiguchi , Kiri Sakahara , Takashi Sato

We construct Nash equilibria in feedback form for a class of two-person stochastic games of singular control with absorption, arising from a stylized model for corporate finance. More precisely, the paper focusses on a strategic dynamic…

Optimization and Control · Mathematics 2025-07-04 Tiziano De Angelis , Fabien Gensbittel , Stéphane Villeneuve

We study a model of dynamic two-stage R&D competition where the competing firms are uncertain about the difficulty of the first stage. Staying in the competition is costly and a firm can also choose whether and when to quit. When a firm…

Computer Science and Game Theory · Computer Science 2016-10-13 Yangbo Song , Mofei Zhao

We study interactions with uncertainty about demand sensitivity. In our solution concept (1) firms choose seemingly-optimal strategies given the level of sophistication of their data analytics, and (2) the levels of sophistication form best…

Theoretical Economics · Economics 2021-04-06 Ron Berman , Yuval Heller

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

Firms (businesses, service providers, entertainment organizations, political parties, etc.) advertise on social networks to draw people's attention and improve their awareness of the brands of the firms. In all such cases, the competitive…

Computer Science and Game Theory · Computer Science 2026-03-17 Sayantika Mandal , Harman Agrawal , Swaprava Nath

Two-sided matching markets describe a large class of problems wherein participants from one side of the market must be matched to those from the other side according to their preferences. In many real-world applications (e.g. content…

Computer Science and Game Theory · Computer Science 2024-10-16 Hadi Hosseini , Sanjukta Roy , Duohan Zhang

This paper provides a general characterization of subgame perfect equilibria for strategic timing problems, where two firms have the (real) option to make an irreversible investment. Profit streams are uncertain and depend on the market…

Economics · Quantitative Finance 2018-05-23 Jan-Henrik Steg

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 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 the propensity of independent algorithms to collude in repeated Cournot duopoly games. Specifically, we investigate the predictive power of different oligopoly and bargaining solutions regarding the effect of asymmetry between…

General Economics · Economics 2025-01-14 Simon Martin , Hans-Theo Normann , Paul Püplichhuisen , Tobias Werner
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