Damping Engine is a rare Artifact card from Urza's Legacy (ULG), collector number 124. Current market price: $1.22 (foil $16.62), TCGplayer market prices via Scryfall.
A player who controls more permanents than each other player can't play lands or cast artifact, creature, or enchantment spells. That player may sacrifice a permanent of their choice for that player to ignore this effect until end of turn.