Table 7

Optimal fixed fishing mortality rate ( F ) for singletons, and optimal harvest control rule reference points, Fˆ and SSBpa, for the coalitions.

Coalition structure/coalitionRange in the actual Fy
 {1,2,3}{1}{2}{3}{1,2}{1,3}{2,3}
Grand coalition

Bpa 1.94

Fˆ 0.31

      0.21-0.31
{1},{2},{3} 0.130.180.24   0.55
{1},{2,3} 0.34   

Bpa 0.95

Fˆ 1.03

 0.44-1.37
{2},{1,3}  0.45  

Bpa 0.81

Fˆ 0.97

 0.55-1.42
{3},{1,2}   0.47

Bpa 0.81

Fˆ 0.94

  0.57-1.41

The units of the harvest control rule reference points are instantaneous rate and million tonnes, respectively. The low fishing cost scenario is used, and the partial coalitions apply harvest control rule. The grand coalition is stable (while the partial coalitions are not).

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