Sentence examples for emission control bargaining from inspiring English sources

The emission control bargaining game for molecular communications can be described as follows.

Thus, the pair (W,U min) can be defined as the emission control bargaining game.

Therefore, we can conclude that the NBS of the emission control bargaining game is equivalent to the proportional fairness.

In the following theorem, we will show that the NBS of the emission control bargaining game derived by (31) is a proportionally fair solution.

Definition 1: In the molecule emission control bargaining game ( W,U min), a solution (mathbf U^{ast }=left (U^{ast }_{1},U^{ast }_{2}right)) is said to be an NBS in W if the following axioms are satisfied.

According to the general definition of proportional fairness [40], the specific definition of proportional fairness in the emission control bargaining game for molecular communications can be described as follows.

In the following, we formulate the emission control game between two transmitters as a bargaining game and find the Nash bargaining solution for them.

In order to improve the system efficiency while guaranteeing fairness, we further model the problem using a cooperative game based on the Nash bargaining solution, where we prove that the Nash bargaining solution of the proposed emission control game is a proportionally fair solution.  .

Nash bargaining solution (NBS): Nash bargaining means the solution of the cooperative emission control game, i.e., maxlimits_{n_{1}le N_{text{max}}^{text{I}},n_{2}le N_{text{max}}^{text{II}}} U_{1}(n_{1},n_{2})cdot U_{2}(n_{1},n_{2}).

Therefore, to improve the system efficiency, we formulate the emission control problem as a cooperative game using the Nash bargaining solution in next subsection.

In order to improve the system efficiency while guaranteeing fairness, we further modeled the proposed molecule emission control problem using a cooperative game based on Nash bargaining solution, which was proved to be proportionally fair.