Sentence examples for maximal response function from inspiring English sources

Then the maximal response function for player i, B i : S − i → 2 S i ∖ can be considered as a set-valued mapping from S to 2 S i ∖ that is defined as B i ( x ) = B i ( x − i ), for any  x = ( x i, x − i ) ∈ S,  for every  i = 1, 2, …, n.

Assume, for every player i, the following conditions hold: 1. P i ( S i, x − i ) is an inductive subset of ( U, ⪰ U ), for every x − i ∈ S − i ;   2. the maximal response function B i : S − i → 2 S i ∖ is order-increasing upward on ( S − i, ⪰ − i ) with compact values;   3.

Assume, for every player i, the following conditions hold: 1. P i ( S i, x − i ) is an inductive subset of ( U, ⪰ U ), for every x − i ∈ S − i ;   2. the maximal response function B i : S − i → 2 S i ∖ is order-increasing upward on ( S − i, ⪰ − i ) with universally inductive values;   3.

P i ( S i, x − i ) is an inductive subset of ( U, ⪰ U ), for every x − i ∈ S − i ; the maximal response function B i : S − i → 2 S i ∖ is order-increasing upward on ( S − i, ⪰ − i ) with compact values; there are elements a = ( a 1, a 2, …, a n ) and b = ( b 1, b 2, …, b n ) in S with a ⪯ S b satisfying a i ∈ B i ( b − i ), for i = 1, 2, …, n.

P i ( S i, x − i ) is an inductive subset of ( U, ⪰ U ), for every x − i ∈ S − i ; the maximal response function B i : S − i → 2 S i ∖ is order-increasing upward on ( S − i, ⪰ − i ) with universally inductive values; there are elements a = ( a 1, a 2, …, a n ) and b = ( b 1, b 2, …, b n ) in S with a ⪯ S b satisfying a i ∈ B i ( b − i ), for i = 1, 2, …, n.

Therefore, neither continuity nor linearity for the considered maximal response functions and the best response functions in these theorems is applied.

If we replace the maximal response functions B i 's by the best response function β i 's in Theorem 4.5, we can get an existence theorem of generalized Nash equilibrium for n-person nonmonetized strategic games.

So, we consider another basic network motif which provides a maximal response in function of a periodic stimulation.

Previously, tissue binding of this radioligand was described by the retention parameter calculated from the ratio of the 80 min value divided by the maximal value of the impulse response function.

None of stressed animals showed a decrease in the intracranial self-stimulation, evaluated by 50% of maximal response rate in the rate/frequency function [ 36].

Not surprisingly, discrimination was maximal where the change of firing rate is maximal, i.e., where the slopes of the response function were steepest.