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Diskretnyi Analiz i Issledovanie Operatsii, 2024, Volume 31, Issue 2, Pages 46–62
DOI: https://doi.org/10.33048/daio.2024.31.786 (Mi da1344) 		 
Cooperative games with preferences: Application of the weight rule to problems of public space in St. Petersburg

V. V. Gusev

HSE University, 3 Kantemirovskaya Street, 194100 St. Petersburg, Russian Federation
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DOI: https://doi.org/10.33048/daio.2024.31.786
Abstract: The paper examines the problem of the distribution of public space. We use the methods of cooperative game theory to solve this problem. Players are districts, while the value of the characteristic function is the total number of people interested in a particular type of public space in the areas under consideration. The axioms that are characteristic of the problem of division are compiled. A special value of the cooperative game is derived that depends on the weights of the players. It is shown how to choose the weights by optimization methods. Tab. 1, illustr. 2, bibliogr. 13.
Keywords: game theory, cooperative game, weight rule, preference game.
Funding agency Grant number
Russian Science Foundation 22-21-20070
St. Petersburg Foundation for Science, Technology and Innovation 65/2022
Received: 08.11.2023
Revised: 04.12.2023
Accepted: 22.12.2023
English version:
Journal of Applied and Industrial Mathematics, 2024, Volume 18, Issue 2, Pages 271–281
DOI: https://doi.org/10.1134/S1990478924020091
Document Type: Article
UDC: 519.83
Language: Russian
Citation: V. V. Gusev, “Cooperative games with preferences: Application of the weight rule to problems of public space in St. Petersburg”, Diskretn. Anal. Issled. Oper., 31:2 (2024), 46–62; J. Appl. Industr. Math., 18:2 (2024), 271–281
Citation in format AMSBIB
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\by V.~V.~Gusev
\paper Cooperative games with preferences: Application~of the weight rule to~problems of~public space in~St.~Petersburg
\jour Diskretn. Anal. Issled. Oper.
\yr 2024
\vol 31
\issue 2
\pages 46--62
\mathnet{http://mi.mathnet.ru/da1344}
\crossref{https://doi.org/10.33048/daio.2024.31.786}
\transl
\jour J. Appl. Industr. Math.
\yr 2024
\vol 18
\issue 2
\pages 271--281
\crossref{https://doi.org/10.1134/S1990478924020091}
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