Impact of Third-Degree Price Discrimination on Welfare under the Asymmetric Price Game
Abstract
:1. Introduction
2. Literature Review
3. The Model
3.1. Basic Model
3.2. Model Solution
- (1)
- Under uniform pricing vs. uniform pricing
- (2)
- Under price discrimination vs. price discrimination
- (3)
- Under price discrimination vs. uniform pricing
4. Model Analysis
4.1. Total Social Welfare Analysis
- (1)
- ;
- (2)
- ;
- (3)
- .
- (1)
- ;
- (2)
- , when,, when.
4.2. Local Social Welfare Analysis
- (1)
- ;
- (2)
- ;
- (3)
- .
- (1)
- (2)
- , when; , when.
5. Numerical Analysis
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A
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Zhang, Z.; Wang, Y.; Meng, Q.; Han, Q. Impact of Third-Degree Price Discrimination on Welfare under the Asymmetric Price Game. Mathematics 2022, 10, 1215. https://doi.org/10.3390/math10081215
Zhang Z, Wang Y, Meng Q, Han Q. Impact of Third-Degree Price Discrimination on Welfare under the Asymmetric Price Game. Mathematics. 2022; 10(8):1215. https://doi.org/10.3390/math10081215
Chicago/Turabian StyleZhang, Zheng, Yingtong Wang, Qingchun Meng, and Qiang Han. 2022. "Impact of Third-Degree Price Discrimination on Welfare under the Asymmetric Price Game" Mathematics 10, no. 8: 1215. https://doi.org/10.3390/math10081215
APA StyleZhang, Z., Wang, Y., Meng, Q., & Han, Q. (2022). Impact of Third-Degree Price Discrimination on Welfare under the Asymmetric Price Game. Mathematics, 10(8), 1215. https://doi.org/10.3390/math10081215