Multicriteria Goal Games

Journal of Optimization Theory and Applications

Volumn 99, Issue 2, 1998, Pages 403-421

  Fernandez F R ^a   Monroy, L ^a   Puerto, J ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

Game theory; Goals; Multicriteria games; Solution concepts

Indexed keywords

PARETO PRINCIPLE; RISK ASSESSMENT;

EXPECTED VALUES; GOAL; MATRIX GAME; MULTI-CRITERIA; MULTICRITERIA GAMES; OPTIMAL SECURITY; PARETO-OPTIMAL; PROPERTY; SECURITY STRATEGIES; SOLUTION CONCEPTS;

GAME THEORY;

EID: 0346408818     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021726311384     Document Type: Article

References (14)

1. SHAPLEY, L. S., Equilibrium Points in Games with Vector Payoff, Naval Research Logistics Quarterly, Vol. 6, pp. 57-61, 1959.
2. NIEUWEHNHUIS, J. W., Some Minimax Theorems in Vector-Valued Functions, Journal of Optimization Theory and Applications, Vol. 40, pp. 463-475, 1983.
3. CORLEY, S. C., Games with Vector Payoff, Journal of Optimization Theory and Applications, Vol. 47, pp. 491-498, 1985.
4. BERGSTRESSER, K., and YU, P. L., Domination Structures and Multicriteria Problems in N-Person Games, International Journal of Theory and Decision, Vol. 8, pp. 5-48, 1977.
5. YU, P. L., Second-Order Game Problem: Decision Dynamics in Gaming Phenomena, Journal of Optimization Theory and Applications, Vol. 27, pp. 147-166, 1979.
6. GHOSE, D., and PRASAD, U. R., Solution Concepts in Two-Person Multicriteria Games, Journal of Optimization Theory and Applications, Vol. 63, pp. 167-189, 1989.
7. FERNANDEZ, F. R., and PUERTO, J., Vector Linear Programming in Zero-Sum Multicriteria Matrix Games, Journal of Optimization Theory and Applications, Vol. 89, pp. 115-127, 1996.
8. FERNANDEZ, F. R., MARMOL, A. M., MONROY, L., and PUERTO, J., Utopian Efficient Strategies in Multicriteria Games, Paper Presented to the 2nd International Conference in Multiobjective Programming and Goal Programming, Malaga, Spain, 1996.
9. COOK, W. D., Zero-Sum Games with Multiple Goals, Naval Research Logistics Quarterly, Vol. 23, pp. 615-622, 1976.
10. FERNANDEZ. F. R., PUERTO, J., and MONROY, L., Two-Person Nonzero-Sum Games as Multicriteria Goal Games, Annals of Operations Research (to appear).
11. YANO, H., and SAKAWA, M., A Unified Approach for Characterizing Pareto-Optimal Solutions of Multiobjective Optimization Problems: The Hyperplane Method, European Journal of Operations Research, Vol. 39, pp. 61-70, 1989.
12. GHOSE, D., A Necessary and Sufficient Condition for Pareto-Optimal Security Strategies in Multicriteria Matrix Games, Journal of Optimization Theory and Applications, Vol. 68, pp. 463-480, 1991.
13. STEUER, R. E., Multiple-Criteria Optimization: Theory, Computation, and Application, Wiley, New York, New York, 1986.
14. PUERTO, J., and FERNANDEZ, F. R., Solution Concepts Based on Security Levels in Constrained Multicriteria Convex Games, Opsearch, Vol. 32. pp. 16-30, 1995.