Consider a lump-sum pension fund problem, in which an agent deposits an amount with a fund manager up front and is later repaid a lump sum x(T) after time T. The fund manager may be both cautious in seeking a payoff x(T) meeting a certain target, but relaxed toward the possibility of exceeding...

Relaxation algorithms provide a powerful method of finding noncooperative equilibria in general synchronous games. Through use of the Nikaido-Isoda function, the Nash solution to a broad category of constrained, multiplayer, non-zerosum games can easily be found. We provide solutions to some...