Vector linear programming in zero-sum multicriteria matrix games

DOI10.1007/BF02192644zbMath0866.90139MaRDI QIDQ2564178

Francisco Ramón Fernández García, Justo Puerto

Publication date: 7 January 1997

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

zbMATH Keywords

scalarization methodszero-sum multicriteria matrix gamemultiple-objective linear problem

Mathematics Subject Classification ID

Noncooperative games (91A10) Multi-objective and goal programming (90C29)

Related Items (23)

Set-valued TU-games ⋮ Multi-choice linear programming for matrix game ⋮ 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 ⋮ Unnamed Item ⋮ Nondominated Nash points: application of biobjective mixed integer programming ⋮ On minimax and Pareto optimal security payoffs in multicriteria games ⋮ The Shapley-Shubik index for multi-criteria simple games ⋮ Pareto-optimal security strategies in matrix games with fuzzy payoffs ⋮ Nondominated equilibrium solutions of a multiobjective two-person nonzero-sum game and corresponding mathematical programming problem ⋮ The concept of proper solution in linear programming ⋮ Core solutions in vector-valued games ⋮ The structure of the set of equilibria for two person multicriteria games. ⋮ Multicriteria goal games ⋮ A BARGAINING MODEL FOR FINITE N-PERSON MULTI-CRITERIA GAMES ⋮ Multi-Criteria Simple Games ⋮ A general model for voting systems with multiple alternatives ⋮ Solving multi-objective matrix games with fuzzy payoffs through the lower limit of the possibility degree ⋮ Intuitionistic-fuzzy goals in zero-sum multi criteria matrix games ⋮ Multi-objective fuzzy bi-matrix game model: a multicriteria non-linear programming approach ⋮ Pareto-optimal security strategies as minimax strategies of a standard matrix game ⋮ Generalized maximin solutions in multicriteria bargaining ⋮ Folk theorems in multicriteria repeated \(N\)-person games.

Cites Work

• Unnamed Item
• Technical note: Games with vector payoffs
• A necessary and sufficient condition for Pareto-optimal security strategies in multicriteria matrix games
• Solution concepts in two-person multicriteria games
• A unified approach for characterizing Pareto optimal solutions of multiobjective optimization problems: The hyperplane method
• Some minimax theorems in vector-valued functions
• The set of all nondominated solutions in linear cases and a multicriteria simplex method
• A general method for determining the set of all efficient solutions to a linear vectormaximum problem
• Generating all maximal efficient faces for multiple objective linear programs
• Domination structures and multicriteria problems in N-person games
• Existence of a Pareto equilibrium
• Linear Multiparametric Programming by Multicriteria Simplex Method
• The Enumeration of the Set of All Efficient Solutions for a Linear Multiple Objective Program

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