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

Ordinally single-peaked preferences are distinguished from cardinally single-peaked preferences, in which all players have a similar perception of distances in some one-dimensional ordering. While ordinal single-peakedness can lead to disconnected coalitions that have a "hole" in the ordering,...

A continuation probability is introduced to develop a theory of indefinitely repeated games where the extreme cases of finitely and infinitely repeated games are specific cases. The set of publicly correlated strategies (vectors) that satisfy a matrix inequality equilvalent to the...

It is known that the only subgame perfect equilibrium for finitely repeated Prisoner's Dilemna games consists of "defecting" in every round. Finitely repeated games are only representative of a class of indefinitely repeated games where the sole subgame perfect equilibrium is noncooperative....