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Losada Gonzalez, Juan CarlosAuthorGarcia Perez, LuisAuthorGrau-Climent J, Garcia-Perez L, Losada Jc, Alonso-Sanz RAuthorAlonso Sanz, RamonCorresponding AuthorSimulation of the quantum Bertrand–Edgeworth game
Publicated to:Quantum Information Processing. 22 (11): 411- - 2023-11-16 22(11), DOI: 10.1007/s11128-023-04163-2
Authors: Grau-Climent, J; Garcia-Perez, L; Losada, JC; Alonso-Sanz, R
Affiliations
Abstract
In the Bertrand–Edgeworth duopoly game, two players compete in price to capture the market demand of a uniform product. The game is studied from a general perspective, so that players with different production costs and capacity constraints as well as the two more important rules dealing with unsatisfied demand (proportional and efficient) are taken into consideration. A quantization scheme is applied to the game with the aim of improving the results compared to the classic game. The quantum Bertrand–Edgeworth duopoly game is studied in this work via spatial numerical simulation, supporting the results analytically when it is possible. In this context, it is found that high entanglement induces a Pareto optimal solution ruled by the lower capacity of the players. The way in which the players’ entanglement acts in the game is examined through simulation, paying special attention to the critical value of entanglement from which the Pareto optimal solution emerges.
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Quality index
Bibliometric impact. Analysis of the contribution and dissemination channel
The work has been published in the journal Quantum Information Processing due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2023, it was in position 12/60, thus managing to position itself as a Q1 (Primer Cuartil), in the category Physics, Mathematical.
From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 1.14, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Jun 2025)
Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-07, the following number of citations:
- WoS: 1
- Scopus: 1
Leadership analysis of institutional authors
There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (GRAU CLIMENT, JUAN BAUTISTA) and Last Author (ALONSO SANZ, RAMON).
the author responsible for correspondence tasks has been ALONSO SANZ, RAMON.