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We investigate the ability of expected utility theory to account for simultaneous gambling and insurance. Contrary to a previous claim that borrowing and lending in perfect capital markets removes the demand for gambles, we show expected utility theory with nonconcave utility functions can explain gambling. When the rates of interest and time preference are equal, agents seek to gamble unless income falls in a finite set of values. When they differ, there is a range of incomes where gambles are desired. Different borrowing and lending rates can account for persistent gambling provided the rates span the rate of time preference.

An expected utility theory of necessary, but not sufficient, conditions for the initiation and escalation of serious international conflicts, including war, is proposed. The theory leads to the seemingly obvious generalization that actors do not initiate wars—or serious disputes—if they do not expect to gain from doing so. Underlying that generalization are a number of counterintuitive deductions. For instance, I show that though a weak nonaligned state cannot rationally attack a stronger nonaligned nation, it might be able to attack a stronger adversary that, in addition to its own strength, expects to derive support from allies. I also show that serious conflict is more likely between very close allies than between enemies. Systematic tests, using data on serious international threats, military interventions, and interstate wars, as well as 17 cases of known attempts at deterrence, show very substantial support for the expected utility propositions deduced from the theory.