"Briscoe Group considers that its offer price is attractive, and sees no reason to increase it. It encourages all Kathmandu shareholders to lodge their acceptances as soon as possible," it said.
Analysts and market commentators would not be drawn on whether this meant the takeover attempt was more or less likely to succeed.
Milford Asset Management analyst Victoria Harris was of the view that Duke would always stick to his guns and not budge on that price.
"I think that the market had realised that," Harris said. "The Kathmandu share price hasn't really gone beyond that $1.80 takeover price, it seems he's not been flexible at all with that price," she said.
The takeover bid was rejected by the Kathmandu board because it felt it undervalued the chain, which was put at between $2.10 and $2.41 by Grant Samuel's independent assessment of the offer. Kathmandu's shares fell 4.6 percent to $1.65 today.
Briscoe built up a 19.99 per cent stake in the company before signalling the takeover bid at the end of June.
The retailer also said it will announce its first-half results on Sept. 14. Briscoe shares fell 0.7 percent to $2.83.
Last week, Kathmandu announced a review of its head office structure which could cut up to 10 percent of top management employees in Australia and New Zealand.
Chief executive Xavier Simonet said the company was taking decisive action to address the recent underperformance in sales and profit and was looking to all areas of the business. The review is due for completion at the end of this month.
- additional reporting BusinessDesk