Technical note: Games with vector payoffs

DOI10.1007/BF00942194zbMath0556.90095MaRDI QIDQ762074

H. W. Corley

Publication date: 1985

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

equilibrium pointsminimax theoremsPareto optimalityvector payoffsoptimal mixed strategiesvector maximization

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) 2-person games (91A05)

Related Items (28)

Formulating generalised `goal games' against nature: An illustration from decision-making under uncertainty in agriculture ⋮ A set optimization approach to zero-sum matrix games with multi-dimensional payoffs ⋮ Formulation and analysis of combat problems as zero-sum bicriterion differential games ⋮ A minimax theorem for vector-valued functions ⋮ Equilibrium solutions for multiobjective bimatrix games incorporating fuzzy goals ⋮ Solution concepts in two-person multicriteria games ⋮ Paréto equilibria in multicriteria metagames ⋮ Properly efficient Nash equilibrium in multicriteria noncooperative games ⋮ Constrained vector valued ratio games and generalized subdifferentiable multiobjective fractional minmax programming ⋮ Rationalizable strategies in games with incomplete preferences ⋮ Well-posedness and existence for the weak multicriteria Nash equilibrium of multicriteria games ⋮ Equilibria with vector-valued utilities and preference information. The analysis of a mixed duopoly ⋮ A minimax theorem for vector-valued functions. II ⋮ A necessary and sufficient condition for Pareto-optimal security strategies in multicriteria matrix games ⋮ Multicriterion differential games with applications to combat problems ⋮ Solution concepts in continuous-kernel multicriteria games ⋮ Constrained weak Nash-type equilibrium problems ⋮ Weak Pareto equilibria for multiobjective constrained games ⋮ Nondominated equilibrium solutions of a multiobjective two-person nonzero-sum game and corresponding mathematical programming problem ⋮ Vector valued nonzero sum games and nonlinear programming. ⋮ EXISTENCE OF GENERALISED PARETO EQUILIBRIA FOR CONSTRAINED MULTIOBJECTIVE GAMES ⋮ Nondominated equilibrium solutions of a multiobjective two-person nonzero-sum game in extensive form and corresponding mathematical programming problem ⋮ FUZZY BASED GA FOR ENTROPY BIMATRIX GOAL GAME ⋮ Multicriteria goal games ⋮ Vector linear programming in zero-sum multicriteria matrix games ⋮ Decision making and games with vector outcomes ⋮ Approximations and well-posedness in multicriteria games ⋮ Folk theorems in multicriteria repeated \(N\)-person games.

Cites Work

• Unnamed Item
• Duality theory for the matrix linear programming problem
• Some minimax theorems in vector-valued functions
• Non-cooperative games
• The Simplex Method for Quadratic Programming
• Mathematical methods of game and economic theory
• Technical Note—Proper Efficiency and the Linear Vector Maximum Problem
• Equilibrium Points of Bimatrix Games

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