John V Gillespie
Biographic Data
| ID | 1107485 |
|---|---|
| NAME | John V Gillespie |
| GIVEN NAMES | John V |
| FAMILY NAME | Gillespie |
| SIGNATURE | GILLESPIE J V |
| AFFILIATIONS | Indiana University |
| VERIFIED | No |
| TOTAL WORKS | 10 |
| TOTAL CITATIONS | 22 |
| AUTHOR COUNT | 10 |
| EDITOR COUNT | 0 |
| FIRST PUBLICATION YEAR | 1972 |
| LATEST PUBLICATION YEAR | 1978 |
| H-INDEX | 3 |
Parameter estimation by numerical minimization methods
The purpose of this paper is to discuss a technique which can be used to solve estimation problems for which the more commonly accepted analytical methods such as linear regression analysis are inappropriate. The estimation method proposed consists of using computer alogrithms for numerical minimization of functions. The basic method of functional minimization is discussed and examples are provided. Various measures of fit for non‐unique solution…
Mathematical Models in International Relations
Transforming a Nation-Dominant International System
This paper investigates the problem of system transformation. Focusing on one attribute of system structure, the distribution of power, it is shown that certain power distributions are incompatible with certain optimizing behaviors. Specifically, it is shown that if a system contains a dominant nation, a nation whose power exceeds the sum of the power of all remaining nations, and if nations optimize using stochastic inputs, then the dominant nat…
A Formal Analysis of Some Issues in Balance of Power Theories
Two general issues raised in discussions of balance of power theories are considered in this paper: the relationship between, on the one hand, the power ratio goals of nations and the size of the international system and, on the other hand, the system's “war propensity.” These relationships are explored through the application of differential game theory. A mathematical model is proposed in which nations are assumed to operate according to certai…
Accumulation in Arms Race Models: A Geometric Lag Perspective
An Optimal Control Model of Arms Races
Lewis Frye Richardson's simple differential equations model of armaments races has been long criticized for its lack of incorporation of the goals of nations. Using the mathematics of optimal control theory, the authors formulate a model which incorporates national goals into an "arms balance" objective function. The goals used are based on the traditional concerns in the balance-of-power literature. From an objective function together with the R…
Game Theory and Politics. Steven J. Brams Games for Society, Business and War: Towards a Theory of Gaming. Martin Shubik
Progressions in mathematical models of international conflict
Macro-Quantitative Analysis: Conflict, Development, and Democratization
Macro-Quantitative Analysis Conflict, Development, and Democratization Volume I, Sage Readers in Cross-National Research
An Optimal Control Model of Arms Races
Lewis Frye Richardson's simple differential equations model of armaments races has been long criticized for its lack of incorporation of the goals of nations. Using the mathematics of optimal control theory, the authors formulate a model which incorporates national goals into an "arms balance" objective function. The goals used are based on the traditional concerns in the balance-of-power literature. From an objective function together with the R…
A Formal Analysis of Some Issues in Balance of Power Theories
Two general issues raised in discussions of balance of power theories are considered in this paper: the relationship between, on the one hand, the power ratio goals of nations and the size of the international system and, on the other hand, the system's “war propensity.” These relationships are explored through the application of differential game theory. A mathematical model is proposed in which nations are assumed to operate according to certai…
Progressions in mathematical models of international conflict
Transforming a Nation-Dominant International System
This paper investigates the problem of system transformation. Focusing on one attribute of system structure, the distribution of power, it is shown that certain power distributions are incompatible with certain optimizing behaviors. Specifically, it is shown that if a system contains a dominant nation, a nation whose power exceeds the sum of the power of all remaining nations, and if nations optimize using stochastic inputs, then the dominant nat…
Accumulation in Arms Race Models: A Geometric Lag Perspective
Parameter estimation by numerical minimization methods
The purpose of this paper is to discuss a technique which can be used to solve estimation problems for which the more commonly accepted analytical methods such as linear regression analysis are inappropriate. The estimation method proposed consists of using computer alogrithms for numerical minimization of functions. The basic method of functional minimization is discussed and examples are provided. Various measures of fit for non‐unique solution…
Macro-Quantitative Analysis: Conflict, Development, and Democratization
Macro-Quantitative Analysis Conflict, Development, and Democratization Volume I, Sage Readers in Cross-National Research
Progressions in mathematical models of international conflict
Game Theory and Politics. Steven J. Brams Games for Society, Business and War: Towards a Theory of Gaming. Martin Shubik
An Optimal Control Model of Arms Races
Lewis Frye Richardson's simple differential equations model of armaments races has been long criticized for its lack of incorporation of the goals of nations. Using the mathematics of optimal control theory, the authors formulate a model which incorporates national goals into an "arms balance" objective function. The goals used are based on the traditional concerns in the balance-of-power literature. From an objective function together with the R…
Parameter estimation by numerical minimization methods
The purpose of this paper is to discuss a technique which can be used to solve estimation problems for which the more commonly accepted analytical methods such as linear regression analysis are inappropriate. The estimation method proposed consists of using computer alogrithms for numerical minimization of functions. The basic method of functional minimization is discussed and examples are provided. Various measures of fit for non‐unique solution…
Mathematical Models in International Relations
Transforming a Nation-Dominant International System
This paper investigates the problem of system transformation. Focusing on one attribute of system structure, the distribution of power, it is shown that certain power distributions are incompatible with certain optimizing behaviors. Specifically, it is shown that if a system contains a dominant nation, a nation whose power exceeds the sum of the power of all remaining nations, and if nations optimize using stochastic inputs, then the dominant nat…
A Formal Analysis of Some Issues in Balance of Power Theories
Two general issues raised in discussions of balance of power theories are considered in this paper: the relationship between, on the one hand, the power ratio goals of nations and the size of the international system and, on the other hand, the system's “war propensity.” These relationships are explored through the application of differential game theory. A mathematical model is proposed in which nations are assumed to operate according to certai…
Accumulation in Arms Race Models: A Geometric Lag Perspective
Computer Science (8 works) · Political science (8 works) · Economics (6 works) · Law (5 works) · Mathematical economics (5 works) · Mathematics (5 works) · Politics (5 works) · Law (4 works) · Power (physics (3 works) · Balance (ability (2 works)