Players are assumed to rank each other as coalition partners. Two processes of coalition formation are defined and illustrated: - Fallback (FB): Players seek coalition partners by descending lower and lower in their preference rankings until some majority coalition, all of whose members consider...

Several indivisible goods are to be divided among two or more players, whose bids for the goods determine their prices. An equitable assignment of the goods at competitive prices is given by a fair-division procedure, called the Gap Procedure, that ensures (1) nonnegative prices that never...

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,...

We propose a procedure for dividing indivisible items between two players in which each player ranks the items from best to worst. It ensures that each player receives a subset of items that it values more than the other player's complementary subset, given that such an envy-free division is...

Assume that players strictly rank each other as coalition partners. We propose a procedure whereby they “fall back” on their preferences, yielding internally compatible, or coherent, majority coalition(s), which we call fallback coalitions. If there is more than one fallback coalition, the...