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How does Nash Theorem apply to PPG Industries and their interaction with their competition?

How does Nash Theorem apply to PPG Industries and their interaction with their competition?

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PPG industries can be considered as the fortune 500 American company which is a supplier of paints, coatings etc. Nash theorem applies to the PPG industries especially in the promotion segment where it can decide whether to offer discount techniques or not, if it's dominant strategy is to give a discount, irrespective of the strategies of the competitors, it would go for it, else it would opt a strategy based on the moves of it's rivals and ultimately it settles at Nash equilibrium

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