I tested this and I felt some games more fluids as SineMora and the Ghostbusters table in Arcade Pinball.
You should access OUYA through ADB.
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On your computer, in cmd (windows) or terminal (linux) access OUYA through adb:
adb shell
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Become root:
su
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Mount the system partition read and write:
mount -o rw,remount -t ext4 /dev/block/platform/sdhci-tegra.3/by-name/APP
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Edit build.prop using VI:
vi /system/build.prop
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Use the arrows key to navigate and before the last block of option, which start with a text telling “ADDITIONAL_BUILD_PROPERTIES”, press “i” to change to input mode and include these lines:
#set output to 720p
persist.tegra.hdmi.resolution=720p
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To save the changes, press ESC, type the command below and press ENTER:
:wg
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So:
Typeexit
and press ENTER
Typeexit
and press ENTER -
And:
Typeadb reboot
and press ENTER
After reboot, your TV will show which the resolution is 720p.
To revert, repeat the steps and just commente the line putting a # before the command.