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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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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| ISSN: | 0132-2818 2335-898X |