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Proof (i) ⇒ (ii) Assume to the contrary that π II ≥ R. Then the definition of partner strategies implies that π I = π II = R. Since all players use memory-one strategies, this would require that everyone cooperates after mutual cooperation, which is neither true for AllD = (0, 0, 0, 0 ; 0 ) nor for the strategy (0, 1, 1, 1 ; 0 ).
Except for a few earthbound choreographers, nearly everyone cooperates.
Everyone cooperates, no one regresses to blood-streaked, conch-clutching, dark-side-of-man merchants.
We interpret this diagram as follows: the leftmost point represents the state of the population where everyone defects, the rightmost point represents the state where everyone cooperates, and intermediate points represent states where some proportion of the population defects and the remainder cooperates.
Setting their differences aside, everyone cooperates and boards Dark Laser's death pod and depart into space.
Thus the problematic outcome is total defection, despite a higher pay-off occurring when everyone cooperates.
Similar(53)
They said operating without a tower worked well as long as everyone cooperated.
But that's the least of it: if, as a society, we can't rely on everyone cooperating to get traffic across a river as quickly as possible, what hope is there for addressing the bigger issues we face?
The N.F.L. said in a statement that if everyone cooperated going forward, Goodell would consider reducing the financial penalties on Payton, Loomis and Vitt and altering the forfeiture of the Saints' second-round draft choice in 2013 to a pick in a lower round.
Instead of everyone cooperating to get everyone levelled-up as high as possible, you get everyone fighting amongst themselves in a zero-sum game of levelled-down scraps.
While everyone cooperated and unprecedented forces were marshaled to make sure that the Tsarnaevs were apprehended, very little is done to help women whose safety concerns and physical insecurity are routinely trivialized and ignored.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com