In his classic novel Catch-22 (1961), Joseph Heller describes a thoroughly
frustrating situation faced by a combat pilot in World War II. This is gene
ralized to a "generic" 2 x 2 strict ordinal game, in which whatever strateg
y the column player chooses, the best response of the row player is to infl
ict on the column player a worst or next-worst outcome, and possibly vice v
ersa, In the 12 specific games subsumed by the generic game, which are call
ed catch-22 games, "moving power" is "effective," based on the theory of mo
ves (TOM).
A generic "Mobilization Game" applicable to international crises, in which
the rules of TOM are somewhat modified, is used to divide the catch-22 game
s into two mutually exclusive classes. Predictions for each class are compa
red with the behavior of decision-makers in two Egyptian-Israeli crises. In
the 1960 Rotem crisis, Egypt retracted its mobilization after- a discreet
countermobilization by Israel, which is consistent with being in a class I
game in which a status-quo state has moving power. In the 1967 crisis, esca
lation moved up in stages from a class I to a class II game, which precipit
ated war and is consistent with cycling wherein both a status-quo and a rev
isionist state think they have moving power. It is argued that catch-22 gam
es better model the dynamics of conflict spirals than does the usual static
representation of the security dilemma as a Prisoners' Dilemma. How such c
onflict spirals might be ameliorated is discussed with respect to recent co
nflicts in South Africa, Northern Ireland, and the former Yugoslavia.