Interacting Strategy Sets in Multiobjective Competition: A Dominance Cone Constrained Game Solution

摘要

Models employed in evaluation or stipulation of regulatory policies involving competition and/or differing objectives of competing parties have sometimes been seriously deficient in accounting for interactions between the parties' strategies or in allowing for multiple objectives. Classical game-theoretical models, wherein the strategy set is the topological product of the individual parties strategy sets, do not encompass such situations. The new dominance cones method and class of situations (Charnes, Cooper, Huang, Wei) is herein further extended to such extensions of classical games. This is applied to an example of Harker without requiring hi variational and quasi-variational inequalities or point-to-set mappings. Keywords: game theory. (kr)