2004Zhongguo guanli kexueRequires access

The Quantity Discount Policy of Supply Chain under Quadratic Game

Deng Yi-hua

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Abstract

The paper brings forward four game models under quadratic game:static state-static state game,static state-dynamic state game,dynamic state-static state game and dynamic state-dynamic state game,analyzes the equilibrium under the four game models,at last calculates a mixed strategy Nash equilibrium through an example,and by contrast to the cost under quadratic game and simple game draws a conclusion that under normal condition the cost of supplier,retailer and supply chain under simple game is lower than that under quadratic game.

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What this paper is about

The paper brings forward four game models under quadratic game:static state-static state game,static state-dynamic state game,dynamic state-static state game and dynamic state-dynamic state game,analyzes the equilibrium under the four game models,at last calculates a mixed strategy Nash equilibrium through an example,and by contrast to the cost under quadratic game and simple game draws a conclusion that under normal condition the cost of supplier,retailer and supply chain under simple game is lower than that under quadratic game.

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Available abstract

The paper brings forward four game models under quadratic game:static state-static state game,static state-dynamic state game,dynamic state-static state game and dynamic state-dynamic state game,analyzes the equilibrium under the four game models,at last calculates a mixed strategy Nash equilibrium through an example,and by contrast to the cost under quadratic game and simple game draws a conclusion that under normal condition the cost of supplier,retailer and supply chain under simple game is lower than that under quadratic game.

Key concepts: Sequential game, Nash equilibrium, Repeated game, Strategy, Symmetric game, Mathematical economics, Non-cooperative game, Normal-form game

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