We describe a simple 2-stage mechanism whereby for two bargainers, a Buyer and a Seller, it is a weakly dominant strategy to report their reservation prices in the 1st stage. If the Buyer reports a higher price than the Seller, then the referee announces that there is the possibility for trade,...

Political parties in Northern Ireland recently used a divisor method of apportionment to choose, in sequence, ten cabinet ministries. If the parties have complete information about each others' preferences, we show that it may not be rational for them to act sincerely by choosing their...