Boars Head Journal

 Mathematics Career Simulation

  Game Theory -- Math 3590 / 6590

 
Journal Description
This journal is dedicated to the military and strategic game theory models so well investigated and popularized by von Neumann.  Of particular interest to the journal are articles relating to the Guerillas vs. Police model and the Strategic Missile Defense model (both in the text, Chapter 5).  Other macro models (mutually assured destruction) or micro models (small unit engagements, counterterrorism) are also welcome.
 
Open Research Questions
Please consider writing a paper that addresses any of the following topics.  Also, you may make up a good question related to these or other topics and submit a paper.
  1. Guerrillas vs. Police (Basic Model): Verify the entries in the matrix in the text (p. 29).  [Level 1 for each 5 entries verified -- may (should?!) be done in teams]
  2. Guerrillas vs. Police (Force Multiplier): Analyze several versions of the game (like the analysis summarized on p. 29 for the basic model) when police units may be spent on an engineering battalion to reinforce one or both armories.  Recall, an engineering battalion working at a post doubles the defender capacity of those stationed there.  For now, only two units (one for each post) can be purchased by the police.  [Level 2 for each 5 entries verified -- may (should?!) be done in teams]
  3. Guerrillas vs. Police (Spies): Analyze several versions of the game (like the analysis summarized on p. 29 for the basic model) when police units may be spent on espionage.  Recall, one unit of espionage improves the chances of the police defending the correct post from 1/2 to 2/3.  A second unit of espionage improves it from 2/3 to 5/6. For now, no additional expenditures on espionage can improve the defense. [Level 2 for each 5 entries verified -- may (should?!) be done in teams]
  4. Guerrillas vs. Police (Force Multiplier & Spies): Analyze several versions of the game (as above) when police units may be spent on up to engineering battalions or two spies.  [Level 3 for each 5 entries verified -- may (should?!) be done in teams]
  5. Guerrillas vs. Police (3 or more armories): Analyze several versions of a several-base game.  Begin with no spying and/or force multipliers.  Gradually add in spying and/or force multipliers, and note any trends.  [Level 3 for each 5 entries verified, Level 3 for any general theorems about how best to defend multiple posts -- may (should?!) be done in teams]
  6. Missile defense:  Do an analysis the improves upon the reality of Game 5.4 (p. 30) by (a) adding more warheads and interceptors, (b) by increasing the scan/search capabilities of the interceptors, or (c) allowing dual (multiple) warheads per missile that divide into mini-warheads just before the interceptor scans them. [Level 2 for each 3 basic games analyzed, Level 3 for each 3 advanced games analyzed.]
 
Issues
     
     

 

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