Solution concepts in continuous-kernel multicriteria games

This paper considers nonzero-sum multicriteria games with continuous kernels. Solution concepts based on the notions of Pareto optimality, equilibrium, and security are extended to these games. Separate necessary and sufficient conditions and existence results are presented for equilibrium, Pareto-optimal response, and Pareto-optimal security strategies of the players.This paper is based partially on research supported by the Council of Scientific and Industrial Research, India, through a Research Associateship Grant to the first author.The authors are grateful to two anonymous referees for suggesting useful changes and pointing out some errors in a previous draft.