GERAD, HEC Montréal, Canada.
GERAD, HEC Montréal, Canada.
Math Biosci. 2019 Mar;309:78-91. doi: 10.1016/j.mbs.2019.01.004. Epub 2019 Jan 15.
In this paper, we consider a two-species fishery model where the species can have different biological interactions, namely, competitive, symbiotic or prey-predator relationships. Each species is harvested by a group of fisherpersons. We characterize and compare equilibrium harvesting strategies, steady-state stocks and total discounted utilities under different modes of play, that is, noncooperation in both groups, cooperation in each of the groups and cooperation in only one group of fisherpersons. Our main results are as follows: (i) In all scenarios, the equilibrium strategy of an agent fishing either species consists of harvesting, in each period, a proportion of the available stock. (ii) The dividend of cooperation in a given group is increasing with the number of members in that group. (iii) Coordination between agents fishing a given species may be detrimental (biologically and economically) to the other species.
本文考虑了一个两种群渔业模型，其中种群之间可以具有不同的生物相互作用，即竞争、共生或捕食-被捕食关系。每种群都被一群渔民捕捞。我们在不同的博弈模式下刻画和比较了平衡捕捞策略、稳定状态的种群和总折扣效用，即两组都不合作、每组都合作以及只有一组渔民合作。我们的主要结果如下：（i）在所有情况下，捕捞任何一种群的个体的均衡策略都是在每个时期捕捞一定比例的可利用存量。（ii）在给定组中进行合作的红利随着该组成员数量的增加而增加。（iii）捕捞给定物种的个体之间的协调可能对其他物种造成（生物和经济上的）损害。
