edu.princeton.repeatedgames.rgsolve.games.specialgames
Class ArmsRace

java.lang.Object
  edu.princeton.repeatedgames.rgsolve.games.Game
      edu.princeton.repeatedgames.rgsolve.games.specialgames.ArmsRace

All Implemented Interfaces:

java.io.Serializable

public class ArmsRace
extends Game
implements java.io.Serializable

An "Arms Race", where action profile (a1, a2) yields military expenditures Xi = max(i) * ai/(mi-1). Utility is then U(i) = threat(i)*(Xi - Xj) - fatigue(i) * Xi^2.

See Also:

Serialized Form

Field Summary

(package private) double	fatigue1 quadratic cost of expenditure to player 1
(package private) double	fatigue2 quadratic cost of expenditure to player 2
(package private) double	max1 maximum expenditure of player 1
(package private) double	max2 maximum expenditure of player 2
private static long	serialVersionUID Serialization ID
(package private) double	threat1 Linear value of expenditure excess of player 1 relative to 2
(package private) double	threat2 Linear value of expenditure excess of player 2 relative to 1

Fields inherited from class edu.princeton.repeatedgames.rgsolve.games.Game

description, extension

Constructor Summary

ArmsRace(int m1, int m2, double delta, double threat1, double threat2, double fatigue1, double fatigue2, double max1, double max2)

Method Summary

double	payoff1(int a1, int a2) payoff to player 1
double	payoff2(int a1, int a2) payoff to player 2

Methods inherited from class edu.princeton.repeatedgames.rgsolve.games.Game

actionUsable, copyUsableActions, delta, m, m1, m2, payoff, setActionUsable, setDescription, setDiscount, usableActionsDefined

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

serialVersionUID

private static final long serialVersionUID

Serialization ID

See Also:

Constant Field Values

max1

double max1

maximum expenditure of player 1

threat1

double threat1

Linear value of expenditure excess of player 1 relative to 2

fatigue1

double fatigue1

quadratic cost of expenditure to player 1

max2

double max2

maximum expenditure of player 2

threat2

double threat2

Linear value of expenditure excess of player 2 relative to 1

fatigue2

double fatigue2

quadratic cost of expenditure to player 2

Constructor Detail

ArmsRace

public ArmsRace(int m1,
                int m2,
                double delta,
                double threat1,
                double threat2,
                double fatigue1,
                double fatigue2,
                double max1,
                double max2)

Method Detail

payoff1

public double payoff1(int a1,
                      int a2)

Description copied from class: Game

payoff to player 1

Specified by:

payoff1 in class Game

Parameters:

a1 - player 1 action

a2 - player 2 action

Returns:

the payoff to player 1

payoff2

public double payoff2(int a1,
                      int a2)

Description copied from class: Game

payoff to player 2

Specified by:

payoff2 in class Game

Parameters:

a1 - player 1 action

a2 - player 2 action

Returns:

the payoff to player 2