Consider the strategic games described below. In each case, state how you would classify the game according to the six dimensions outlined in the text.
(i) Are moves sequential or simultaneous?
(ii) Is the game zerosum or not?
(iii) Is the game repeated?
(iv) Is there imperfect information, and if so, is there incomplete (asymmetric) information?
(v) Are the rules fixed or not?
(vi) Are cooperative agreements possible or not? If you do not have enough information to classify a game in a particular dimension, explain why not.
(a) Rock-Paper-Scissors: On the count of three, each player makes the shape of one of the three items with his hand. Rock beats Scissors, Scissors beats Paper, and Paper beats Rock.
(b) Roll-call voting: Voters cast their votes orally as their names are called. The choice with the most votes wins.
(c) Sealed-bid auction: Bidders on a bottle of wine seal their bids in envelopes. The highest bidder wins the item and pays the amount of his bid.