The theory of quantity discounts and optimal pricing. (June 2017)

• Record Type: Journal Article
• Authors: Chang, Winston W.; Chen, Tai‐Liang
• Is Part Of: International journal of economic theory. Volume 13:Number 2(2017:Jun.)
• Page Start: 185
• Page End: 195
• Publication Date: 2017-06
• Subjects: monopoly -- quantity discount -- multi‐tier optimal pricing -- social welfare -- consumer surplus; Economics -- Periodicals; 330.01
• DOI: 10.1111/ijet.12124
• Languages: English
• ISSNs: 1742-7355

Abstract

Abstract: This paper explores a monopolist's optimal multi‐tier quantity‐discount prices and shows that only the last tier's marginal cost is relevant in determining the tier prices and each tier's price is equal to its preceding tier's marginal revenue. An increase in total output is associated with larger individual tiers' own and cumulative outputs (the stretching effect), and the increases in their cumulative outputs are smaller if their tiers are closer to the first one (the ripple effect). The pricing structure is further characterized by the tier Lerner indices and the price elasticities defined on individual tiers' own and their commutative outputs.