Contributed Papers

Journal of Optimization Theory and Applications

, Volume 69, Issue 3, pp 543-553

First online:

Solution concepts in continuous-kernel multicriteria games

  • D. GhoseAffiliated withDepartment of Aerospace Engineering, Indian Institute of Science
  • , U. R. PrasadAffiliated withDepartment of Computer Science and Automation, Indian Institute of Science

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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.

Key Words

Game theory multicriteria games nonzero-sum games vector criteria games continuous-kernel games