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And the sum player B returns to player A is therefore a measure of reciprocity.
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If an evening could sum a player's footballing life, perhaps the sultry one in Athens in an England Under-21 jersey eight years ago is most appropriate for Michael Carrick.
In sum, each player made two types of decision per period.
Reach was defined as the number of players who attended training in a given week and was computed as the sum of players in the first two categories.
The Daggers made around £400,000 from season ticket sales and gate receipts last season - a sum top players in the Premier League earn in a fortnight but which makes up around a third of Daggers' total income from football.
The Real Madrid No.7 earns nearly 10m euros annually on his current contract, a significantly lower sum than players such as Samuel Eto'o (20m euros) and Zlatan Ibrahimovic (14.5m euros).
The simplest alliance problem is a zero-sum three-player game like the Simple Majority Game [26] in which three players each choose one of the other players.
The union contended that such compensation would impede movement, forcing the signing club, in effect, to pay twice: a huge sum to the player and further compensation to the player's former employer.
Some of the pain was of his own doing: He went heavily into debt and spent eye-popping sums for players on teams that often underachieved.
However critics say that isn't enough considering the sums that players help bring in to their universities and sporting conferences.
Unfortunately, this has often left them with more money than sense as they recklessly invest vast sums into players with a wanton disregard for the consequences, effectively lighting their cigars with rolled up £50 notes like cartoon villains.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com