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Embedded game analysis and international conflict control
Author(s) -
Gillespie John V.,
Zinnes Dina A.
Publication year - 1977
Publication title -
behavioral science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 45
eISSN - 1099-1743
pISSN - 0005-7940
DOI - 10.1002/bs.3830220104
Subject(s) - differential game , differential (mechanical device) , mathematical economics , game theory , computer science , kinematics , control (management) , mathematical optimization , mathematics , artificial intelligence , engineering , physics , classical mechanics , aerospace engineering
The use of game theoretic models for understanding international relations has been widely criticized. In this paper we suggest that the theory of embedded differential games with optimal control is a productive methodology for responding to the critics. Several noncooperative differential game models with embedded objective functions are formulated. Concepts for obtaining undominated solutions based on the game structure, the quadratic objective functions and linear differential kinematic equations are discussed. The paper concludes that models with rich empirical reference can be formulated and productively used in understanding international conflict.