Two-person non-zero-sum games as multicriteria goal games -- Web of Science 5.0

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Two-person non-zero-sum games as multicriteria goal games
Fernandez FR, Puerto J, Monroy L
ANNALS OF OPERATIONS RESEARCH 84: 195-208 1998

Document type: Article

Language: English

Cited References: 16

Times Cited: 0

Abstract:
In this paper, we propose a new way to analyze bimatrix games. This new approach consists of considering the game as a bicriteria matrix game. The solution concepts behind this game are based on getting the probability to achieve some prespecified goals. We consider as a part of the solution, not only the payoff values, but also the probability to get them. In addition, to avoid the choice of only one goal, two different approaches are used. Firstly, sensitivity analysis of the solution set is carried out on the range of goals, secondly a partition of the goal space in a finite number of regions is presented. Some examples are included to illustrate the results in the paper.

Author Keywords:
game theory, multicriteria games, goals, sensitivity analysis

KeyWords Plus:
STABLE EQUILIBRIA, DEFINITION, REFORMULATION

Addresses:
Fernandez FR, Univ Sevilla, Fac Matemat, Dept Estadist & Invest Operat, E-41012 Seville, Spain
Univ Sevilla, Fac Matemat, Dept Estadist & Invest Operat, E-41012 Seville, Spain
Univ Sevilla, Fac Econ & Empresariales, Dept Econ Aplicada 1, E-41012 Seville, Spain

Publisher:
BALTZER SCI PUBL BV, BUSSUM

IDS Number:
162WD

ISSN:
0254-5330

Article 15 of 40

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