Cone Concavity and Multiple-Payoff Constrained n-Person Games1

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This paper investigates special cases of abstract economies, i.e., n-person games with multiple payoff functions. Dominances with certain convex cones and interactive strategies are introduced in such game settings. Gradients of payoff functions are involved to establish certain Lagrange or Kuhn–Tucker conditions which may lead to some algorithms to actually compute an equilibrium. Sufficient and necessary conditions for such multiple payoff constrained n-person games are obtained.

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