Competitive two person zero-sum game with linear increment function
We analyze the competition of two firms with increment function of the first firm c(x) = kx +1 an analogue to that in [1] with the increment c = 1. The optimal strategies X*, Y* and the value v of the game in explicit form are obtained, their parameters a, α, C0, C1 being the solutions of the equat...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2000-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/35169 |
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| _version_ | 1825197274228064256 |
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| author | Jolanta Dranseikienė Daina Sūdžiūtė |
| author_facet | Jolanta Dranseikienė Daina Sūdžiūtė |
| author_sort | Jolanta Dranseikienė |
| collection | DOAJ |
| description |
We analyze the competition of two firms with increment function of the first firm c(x) = kx +1 an analogue to that in [1] with the increment c = 1.
The optimal strategies X*, Y* and the value v of the game in explicit form are obtained, their parameters a, α, C0, C1 being the solutions of the equation system.
The values of the game parameters for various k are presented in graphic form.
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| format | Article |
| id | doaj-art-ce213ab672d8482eb8838beb4d2b69dc |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2000-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-ce213ab672d8482eb8838beb4d2b69dc2025-02-11T18:14:44ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2000-12-0140spec.10.15388/LMR.2000.35169Competitive two person zero-sum game with linear increment functionJolanta Dranseikienė0Daina Sūdžiūtė1Vilnius UniversityVilnius University We analyze the competition of two firms with increment function of the first firm c(x) = kx +1 an analogue to that in [1] with the increment c = 1. The optimal strategies X*, Y* and the value v of the game in explicit form are obtained, their parameters a, α, C0, C1 being the solutions of the equation system. The values of the game parameters for various k are presented in graphic form. https://www.zurnalai.vu.lt/LMR/article/view/35169 |
| spellingShingle | Jolanta Dranseikienė Daina Sūdžiūtė Competitive two person zero-sum game with linear increment function Lietuvos Matematikos Rinkinys |
| title | Competitive two person zero-sum game with linear increment function |
| title_full | Competitive two person zero-sum game with linear increment function |
| title_fullStr | Competitive two person zero-sum game with linear increment function |
| title_full_unstemmed | Competitive two person zero-sum game with linear increment function |
| title_short | Competitive two person zero-sum game with linear increment function |
| title_sort | competitive two person zero sum game with linear increment function |
| url | https://www.zurnalai.vu.lt/LMR/article/view/35169 |
| work_keys_str_mv | AT jolantadranseikiene competitivetwopersonzerosumgamewithlinearincrementfunction AT dainasudziute competitivetwopersonzerosumgamewithlinearincrementfunction |