When Is an Arms Rivalry a Prisoner's Dilemma
Richardson's Models and 2 × 2 Games
Bibliographic Data
| ID | 6285280 |
|---|---|
| Authors | Mark Lichbach (0000-0002-2461-5013, University of Illinois Chicago, corresponding author), Mark Irving Lichbach (University of Illinois Chicago) |
| Year | 1990 |
| Volume | 34 |
| Issue | 1 |
| Pages | 29-56 |
| Publication date | 1990-03-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Journal of Conflict Resolution (JOURNAL) |
| Journal identifiers | ISSN: 0022-0027 • E-ISSN: 1552-8766 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1177/0022002790034001002 |
| OpenAlex | W1970325359 |
| Language | EN |
| Citations received | 6 |
| References cited | 27 |
This article uses the utility functions from Richardson arms rivalry (R-AR) models to help determine the equilibrium outcomes of 2 × 2 game-theory arms rivalry (GT-AR) models. Three different formulations of a R-AR, one general and two specific, are employed. Four different formulations of a GT-AR, a PD arms rivalry (PD-AR), a Chicken arms rivalry (Chicken-AR), a Deadlock arms rivalry (Deadlock-AR), and a Stag Hunt arms rivalry (Stag Hunt-AR), are also used. I first establish the most general possible restrictions on Richardson-type utility functions that determine the four common 2 × 2 arms rivalry games. I then establish two counterintuitive results: One of the specific formulations of a R-AR may help imply the equilibrium outcomes of a PD- or Deadlock-AR but is inconsistent with the equilibrium outcomes of a Chicken- or Stag Hunt-AR; it is impossible for either specific formulation of a R-AR to ever yield the equilibrium outcome of a Stag Hunt-AR
Counterintuitive · Deadlock · Developmental psychology · Dilemma · Economics · Epistemology · Game theory · Mathematical economics · Microeconomics · Nash equilibrium · Prisoner's dilemma · Rivalry · Sibling rivalry (animals · Computer Science · Decision-Making and Behavioral Economics · Economic theories and models · Experimental Behavioral Economics Studies · Philosophy · Psychology
Game theory with applications to economics
Game Theory and Political Theory
Games with randomly disturbed payoffs
Conflict Among Nations
Philosophy and Public Affairs
Fights, Games, and Debates
A Selected Bibliography of Arms Race Models and Related Subjects
Arms Race Models
Anarchy, egoism, and third images
U.S. Assistance, Israeli Allocation, and the Arms Race in the Middle East
Tacit Bargaining and Arms Control
Cooperation under the Security Dilemma
Mathematical Models for the Genesis of War
Arms Races and Cooperation
Explaining Cooperation Under Anarchy
Research on Conflict Theory
Economic Issues and Methodology in Arms Race Analysis
Prisoner's Dilemma" and "Chicken" Models in International Politics
Coordination and collaboration
Stability in Richardson's Arms Races and Cooperation in Prisoner's Dilemma Arms Rivalries
Secrecy and the Arms Race. A Theory of the Accumulation of Strategic Weapons and How Secrecy Affects It
Coordination versus Prisoners' Dilemma
| Unique citing works | 6 |
|---|---|
| Citations per year | 0,17 |
| Citation span | 1991 - 1998 (8) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 6 |