Journal of the Operations Research Society of China ›› 2021, Vol. 9 ›› Issue (4): 723-740.doi: 10.1007/s40305-021-00340-1

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  • 收稿日期:2020-05-02 修回日期:2020-09-22 出版日期:2021-12-30 发布日期:2021-11-25
  • 基金资助:
    This research is supported by the Fundamental Research Funds for Central Universities of China (Nos. 2020110139 and 2019110312) and Graduate Innovation sponsored by Shanghai University of Finance and Economics (No. CXJJ-2019-348).

Competitive Equilibria and Benefit Distributions of Population Production Economies with External Increasing Returns

Zhe Yang1,2, Xian Zhang1,2   

  1. 1 School of Economics, Shanghai University of Finance and Economics, Shanghai 200433, China;
    2 Key Laboratory of Mathematical Economics(SUFE), Ministry of Education, Shanghai 200433, China
  • Received:2020-05-02 Revised:2020-09-22 Online:2021-12-30 Published:2021-11-25
  • Contact: Zhe Yang, Xian Zhang E-mail:zheyang211@163.com;xianzhangmath@163.com

Abstract: Inspired by the work of population games, we establish the model of population production economies with external increasing returns and introduce the notion of competitive equilibria. We first prove the existence of competitive equilibria under some regular assumptions. Furthermore, we assume that there exists the cooperative behavior of different populations. By proving the existence of transferable utility (TU) core, we analyze the benefit distributions of population production economies with external increasing returns.

Key words: Population production economy, Competitive equilibrium, TU core, Benefit distribution

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