public static double GetValue(State s, FoeQTable q)
{
var context = SolverContext.GetContext();
var model = context.CreateModel();
var actionDecisions = new List <Decision>();
foreach (var action in Enum.GetNames(typeof(Action)))
{
var decision = new Decision(Domain.RealNonnegative, action);
model.AddDecision(decision);
actionDecisions.Add(decision);
}
var valueDecision = new Decision(Domain.Real, "value");
model.AddDecision(valueDecision);
model.AddConstraint("probSumConst", actionDecisions[0] + actionDecisions[1] + actionDecisions[2] + actionDecisions[3] + actionDecisions[4] == 1.0);
int constCount = 0;
foreach (Action oppPlayer in Enum.GetValues(typeof(Action)))
{
var qConstraintValues = new List <double>();
foreach (Action currentPlayer in Enum.GetValues(typeof(Action)))
{
qConstraintValues.Add(q.GetQValue(s, currentPlayer, oppPlayer));
}
model.AddConstraint("Const" + constCount, qConstraintValues[0] * actionDecisions[0] + qConstraintValues[1] * actionDecisions[1] + qConstraintValues[2] * actionDecisions[2] + qConstraintValues[3] * actionDecisions[3] + qConstraintValues[4] * actionDecisions[4] >= valueDecision);
++constCount;
}
model.AddGoal("MaximizeV", GoalKind.Maximize, valueDecision);
context.Solve(new SimplexDirective());
context.ClearModel();
return(valueDecision.GetDouble());
}
private static void RunFoeQ()
{
var S = new StateSet();
var A = new JointActionSet();
var P = new Transition(S, A);
var Q_A = new FoeQTable();
var R = new Rewards();
var ERR = new Dictionary <int, double>();
var j = 0;
while (j <= 1000000)
{
//Initialize state according to Figure 4
var initialState = new State(2, 1, BallPossessor.B);
var gameOver = false;
var currentState = new State(3, 1, BallPossessor.B);
var actions = A.GetNextJointAction();
var playerAAction = actions.CurrentPlayerAction;
var playerBAction = actions.OpposingPlayerAction;
while (!gameOver)
{
if (j % 20000 == 0)
{
Console.WriteLine(j);
}
var q_fig_4_initial = Q_A.GetQValue(initialState, Action.South, Action.Stick);
var nextState = P.GetNextState(currentState, new JointAction(playerAAction, playerBAction));
var playerAReward = R.GetPlayerAReward(nextState);
var playerBReward = R.GetPlayerBReward(nextState);
if (playerAReward != 0.0 || playerBReward != 0.0)
{
gameOver = true;
}
Q_A.UpdateQValue(currentState, nextState, playerAAction, playerBAction, playerAReward);
if (currentState.Equals(initialState) && playerAAction == Action.South && playerBAction == Action.Stick)
{
var q_fig_4 = Q_A.GetQValue(initialState, Action.South, Action.Stick);
var diff = Math.Abs(q_fig_4 - q_fig_4_initial);
ERR.Add(j, diff);
}
currentState = nextState;
actions = A.GetNextJointAction();
playerAAction = actions.CurrentPlayerAction;
playerBAction = actions.OpposingPlayerAction;
++j;
}
}
using (StreamWriter sw = File.CreateText("output.csv"))
{
foreach (var kvp in ERR)
{
sw.WriteLine(kvp.Key + "," + kvp.Value);
}
}
}