We focus on axiomatizations of the Pareto equilibrium concept in noncoopera
tive multicriteria games based on consistency. Some axiomatizations of the
Nash equilibrium concept have immediate generalizations. For strategic game
s it was shown that there exist no consistent refinements of the Nash equil
ibrium concept that satisfy individual rationality and nonemptiness on a re
asonably large class of games. We show that such refinements of the Pareto
equilibrium concept on multicriteria games do exist. (C) 1999 Academic Pres
s.