I've played about 7 games of Cosmic Encounter, and by now I've learned that you need to adjust your strategy to take full advantage of your alien power in order to get the best odds of winning. Most of the aliens had powers for which it was clear both why it was good and how I should use it to its maximum potential.
However, I still haven't been able to figure out how to best play my very first alien, Fido:
You have the power to Fetch. After encounter cards are discarded at the end of an encounter, you may use this power to retrieve one of the discarded cards and offer it to another player. If the card is refused, you may keep it. If the card is accepted, the other player keeps the card, then you may either retrieve one ship from the warp or draw one card from the deck.
If I offer bad cards, I get stuck keeping them. If I offer good cards, my opponents keep them and all I get to do is draw a card. If I offer mediocre cards, I get a result somewhere in the middle. How do I take advantage of this power with maximum benefit to myself and minimum benefit to my opponents? How do I determine what cards to offer to whom? Is it just me, or is this one of the weaker powers?