World number two Nadal and world number six Roddick are currently in China for the Shanghai Masters.
Murray has stuttered a little since landing his first major title at Flushing Meadows, wasting five match points before losing in the Shanghai Masters final to Serbian Novak Djokovic.
Meanwhile, in the men's section, local favorite Marat Safin opened his final Kremlin Cup campaign by ousting defending champion and Shanghai Masters winner Nikolay Davydenko in the first round.
Perry, from Chatteris in Cambridgeshire, was knocked out at the last-16 stage of the Shanghai Masters last week by Ronnie O'Sullivan, but he is hoping to do better in Scotland.
Murray starts his defense of his Shanghai Masters title against Florian Mayer on Wednesday after the German beat Australia's Bernard Tomic 6-4 6-0 in the first round, while Djokovic faces Grigor Dimitrov of Bulgaria.
Murray's call for a players' meeting before last month's Shanghai Masters did not eventuate in any action, and the Scot himself later stated that he did not think a strike was necessary -- but that the issue of fixture scheduling needed to be addressed.
The top eight players in the ATP Champions Race earn places at the Masters Cup in Shanghai.
The 22-year-old, who pulled out of the end-of-year Masters Cup in Shanghai, has been struggling with tendonitis in his right knee.
It was Federer's first loss on indoor hard courts since the Argentine rallied to beat him at the Masters Cup in Shanghai nearly two years ago.
However, his performances in Shanghai as he collected a sixth Masters 1000 title appear to have restored Murray's belief.
"To achieve something like that at his age is amazing, " Murray told BBC Sport, before flying out to Shanghai for the season-ending Masters Cup.
Roger Federer, speaking in Shanghai ahead of the season-ending Masters Cup, said officials should come down "very hard" on gambling.
And despite missing three months of this year through injury, Murray was still just one victory from securing a place in the Masters Cup - currently under way in Shanghai - for the world's best eight players.
Shanghai has made way for London and the Tennis Masters Cup has been rebranded the ATP World Tour Finals, but the principle remains the same - the best eight players in the world battling to end the year as the world champion.
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