Pollak R A
Department of Economics, University of Pennsylvania.
Theor Popul Biol. 1987 Oct;32(2):176-87. doi: 10.1016/0040-5809(87)90046-3.
The birth matrix-mating rule (BMMR) model solves the two-sex problem of classical stable population theory by allowing births to adjust to changes in a population's age-sex composition. To avoid complications the BMMR model assumes that unions last for only a single period. This paper drops that assumption and presents the BMMRPU (BMMR persistent unions) model. To establish the existence of equilibrium in the BMMRPU model, the existence proof used in the BMMR model is supplemented by a fixed-point argument.
生育矩阵-交配规则（BMMR）模型通过允许生育适应人口年龄-性别构成的变化，解决了经典稳定人口理论中的两性问题。为避免复杂性，BMMR模型假定结合仅持续一个时期。本文摒弃了该假定，提出了BMMRPU（BMMR持续结合）模型。为证明BMMRPU模型中均衡的存在性，在BMMR模型中使用的存在性证明通过一个不动点论证得以补充。
