//
// $Source: /cvsroot/gambit/gambit/sources/tools/enumpoly/nfgcpoly.h,v $
// $Date: 2006/08/17 03:05:00 $
// $Revision: 1.2 $
//
// DESCRIPTION:
// Compute Nash equilibria via heuristic search on game supports
// (Porter, Nudelman & Shoham, 2004)
// Implemented by Litao Wei
//
// This file is part of Gambit
// Copyright (c) 2006, Litao Wei and The Gambit Project
//
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 2 of the License, or
// (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
//
#ifndef NFGCPOLY_H
#define NFGCPOLY_H
#include "libgambit/libgambit.h"
#include "nfgensup.h"
#include "gpoly.h"
#include "gpolylst.h"
#include "rectangl.h"
#include "quiksolv.h"
using namespace Gambit;
class HeuristicPolEnumModule {
private:
int m_stopAfter;
double eps;
Game NF;
const StrategySupport &support;
gSpace Space;
term_order Lex;
int num_vars;
long count,nevals;
double time;
Gambit::List<MixedStrategyProfile<double> > solutions;
bool is_singular;
bool EqZero(double x) const;
// p_i_j as a gPoly, with last prob in terms of previous probs
gPoly<double> Prob(int i,int j) const;
// equation for when player i sets strat1 = strat2
// with last probs for each player substituted out.
gPoly<double> IndifferenceEquation(int i, int strat1, int strat2) const;
gPolyList<double> IndifferenceEquations() const;
gPolyList<double> LastActionProbPositiveInequalities() const;
gPolyList<double> NashOnSupportEquationsAndInequalities() const;
Gambit::List<Vector<double> >
NashOnSupportSolnVectors(const gPolyList<double> &equations,
const gRectangle<double> &Cube);
int SaveSolutions(const Gambit::List<Vector<double> > &list);
public:
HeuristicPolEnumModule(const StrategySupport &, int p_stopAfter);
int PolEnum(void);
long NumEvals(void) const;
double Time(void) const;
const Gambit::List<MixedStrategyProfile<double> > &GetSolutions(void) const;
Vector<double> SolVarsFromMixedStrategyProfile(const MixedStrategyProfile<double> &) const;
const int PolishKnownRoot(Vector<double> &) const;
MixedStrategyProfile<double> ReturnPolishedSolution(const Vector<double> &) const;
bool IsSingular() const;
};
#endif // NFGCPOLY_H
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