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Although this strikes us today as simply a case for an objectionable paternalistic imperialism (and it certainly was such a case), Mill's argument for the conclusion is more complex, including a claim that, since international morality depends on reciprocity, 'barbarous' governments that cannot be counted on to engage in reciprocal behavior have no rights qua governments.
Good public services depend on reciprocity and two-way trust.
In the last case and any other unjustified deprivation of bodily freedom, a slave is released from his initial, pact-based obligation, which depends on reciprocity: "For there is no pact unless contractors trust each other, and faith cannot be violated where it does not exist".
The parameters p and q depend on reciprocity as well as on the time window Δ, as shown in Table 2. Reciprocity increases significantly both the observation probability p and the probability p×q that a single received retweet will cause a TRF event.
With repetition of the game, however, the degree of cooperation tends to decrease, mainly because of the heterogeneity of the players (Fischbacher et al. 2001); some are more willing to cooperate, depending on the reciprocity of others.
By understanding that social influence depends on friendship reciprocity and direction, you can be more effective at promoting behavior change, disseminating new ideas, and even promoting products.
Henry Richardson has gone even further, maintaining that "Rawls' arguments making use of the device of the [Original Position] do not essentially depend on any reciprocity premise" (2006, 427).
The adopted measures would come into force under two possible scenarios depending on whether the UK grants reciprocity or not.
Both solutions have the common objective to assign an increasing adaptive weight to the resource factor to ensure that nodes' cooperative willingness depends more on the resource factor when the available resource becomes less, but it depends more on reciprocity factor when the resource is sufficient.
Instead, recognition depends primarily on reciprocity agreements between member states and third countries.
An additional, practical consideration against interpreting the Reciprocity Principle to apply depending on the participant's intention is the difficulty in ascertaining a participant's intention and so in concluding whether there are reciprocal obligations.
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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