Before revision:  Similarly, we get a simultaneous protocol in the vertex-partition model for approximating the matching size within (3.5+   ) factor using O( \frac{n^{2/3}{\eps^2}} }{\epsilon^2}} \log n) communication from each player.
After revision:  Similarly, we get a simultaneous protocol in the vertex-partition model for approximating the matching size within (3.5+  ) factor using O( \frac{n^{2/3}{\eps^2}} \frac{n^{2/3}{\epsilon^2}} \log n) communication from each player.