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Modeling Cyclic RPS Game with Primal-Dual Pair Linear Program

http://hdl.handle.net/20.500.12678/0000006165
360cc367-a28d-4adc-b2ca-2c27f8dc8965
3184fb93-09ca-4ba7-a14f-493c86155258
None
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Modeling Modeling Cyclic RPS Game with Primal-Dual Pair Linear Program.pdf (411 Kb)
Publication type
Journal article
Upload type
Publication
Title
Title Modeling Cyclic RPS Game with Primal-Dual Pair Linear Program
Language en
Publication date 2019-09-01
Authors
Aye Aye Khaing
Swe Swe Kyaw
Description
Game theory is the mathematical study of strategic interactions, in which an individual's success depends on his/her own choice as well as the choices of others. The inspection of basic matrix games in two-person zero sum game can be constructed as the mathematical model. The importance of the game is how to find the gamevalue (expected payoff) for each player. This game can be solved by using primal-dual pair linear programming (LP) to obtain the optimal solution is discussed. Linear programming has been shown to be available method for solving zero-sum games. The two-person zero sum games that are well suited for solving using linear programming, rather than suggest the dual solution methodology for the opponent’s strategies, and supply a single formulation for both players. This also informs the relationship between the Minimax Theorem of game theory and the Weak Duality Theorem of linear programming. Duality theory is a concept operating on two mathematical programming problems and the possible coincidence of their values.
Keywords
Two person zero-sum game, payoff, Linear programming, Weak duality, Strong duality, Minimax theorem
Journal articles
UJICS
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