2014-04-09 17:57:17 +02:00
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function perfect_foresight_solver()
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2010-09-21 13:35:55 +02:00
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% Computes deterministic simulations
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2006-10-29 18:27:48 +01:00
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%
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% INPUTS
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2010-09-21 13:35:55 +02:00
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% None
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2006-10-29 18:27:48 +01:00
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%
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% OUTPUTS
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2010-11-17 17:09:39 +01:00
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% none
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%
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2006-10-29 18:27:48 +01:00
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% ALGORITHM
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2010-11-17 17:09:39 +01:00
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%
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2006-10-29 18:27:48 +01:00
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% SPECIAL REQUIREMENTS
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% none
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2008-08-01 14:40:33 +02:00
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2014-04-09 17:57:17 +02:00
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% Copyright (C) 1996-2014 Dynare Team
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2008-08-01 14:40:33 +02:00
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%
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% This file is part of Dynare.
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%
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% Dynare is free software: you can redistribute it and/or modify
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% it under the terms of the GNU General Public License as published by
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% the Free Software Foundation, either version 3 of the License, or
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% (at your option) any later version.
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%
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% Dynare is distributed in the hope that it will be useful,
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% but WITHOUT ANY WARRANTY; without even the implied warranty of
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% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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% GNU General Public License for more details.
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%
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% You should have received a copy of the GNU General Public License
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% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
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2005-02-18 20:54:39 +01:00
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2010-09-21 13:35:55 +02:00
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global M_ options_ oo_
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2005-02-18 20:54:39 +01:00
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2014-12-19 16:33:55 +01:00
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check_input_arguments(options_, M_, oo_);
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2014-04-09 17:57:17 +02:00
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2011-02-10 15:54:23 +01:00
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if isempty(options_.scalv) || options_.scalv == 0
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2013-12-09 15:06:06 +01:00
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options_.scalv = oo_.steady_state;
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2009-12-16 18:17:34 +01:00
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end
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2013-12-09 15:06:06 +01:00
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options_.scalv= 1;
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2005-02-18 20:54:39 +01:00
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2013-07-21 00:02:09 +02:00
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if options_.debug
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model_static = str2func([M_.fname,'_static']);
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for ii=1:size(oo_.exo_simul,1)
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[residual(:,ii)] = model_static(oo_.steady_state, oo_.exo_simul(ii,:),M_.params);
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end
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problematic_periods=find(any(isinf(residual)) | any(isnan(residual)))-M_.maximum_endo_lag;
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if ~isempty(problematic_periods)
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period_string=num2str(problematic_periods(1));
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for ii=2:length(problematic_periods)
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period_string=[period_string, ', ', num2str(problematic_periods(ii))];
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end
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fprintf('\n\nWARNING: Value for the exogenous variable(s) in period(s) %s inconsistent with the static model.\n',period_string);
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fprintf('WARNING: Check for division by 0.\n')
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end
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end
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2014-04-10 16:38:39 +02:00
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% Effectively compute simulation, possibly with homotopy
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if options_.no_homotopy
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2014-12-19 16:48:17 +01:00
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oo_ = simulation_core(options_, M_, oo_);
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2014-04-10 16:38:39 +02:00
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else
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exosim = oo_.exo_simul;
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exoinit = repmat(oo_.exo_steady_state',M_.maximum_lag+options_.periods+M_.maximum_lead,1);
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endosim = oo_.endo_simul;
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2014-12-17 09:37:43 +01:00
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endoinit = repmat(oo_.steady_state, 1,M_.maximum_lag+options_.periods+M_.maximum_lead);
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2014-04-10 16:38:39 +02:00
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current_weight = 0; % Current weight of target point in convex combination
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step = 1;
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success_counter = 0;
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while (step > options_.dynatol.x)
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2015-01-07 12:37:07 +01:00
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if ~isequal(step,1)
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options_.verbosity = 0;
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end
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2014-04-10 16:38:39 +02:00
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new_weight = current_weight + step; % Try this weight, and see if it succeeds
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if new_weight >= 1
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new_weight = 1; % Don't go beyond target point
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step = new_weight - current_weight;
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end
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% Compute convex combination for exo path and initial/terminal endo conditions
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% But take care of not overwriting the computed part of oo_.endo_simul
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oo_.exo_simul = exosim*new_weight + exoinit*(1-new_weight);
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endocombi = endosim*new_weight + endoinit*(1-new_weight);
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oo_.endo_simul(:,1:M_.maximum_endo_lag) = endocombi(:,1:M_.maximum_endo_lag);
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oo_.endo_simul(:,(end-M_.maximum_endo_lead):end) = endocombi(:,(end-M_.maximum_endo_lead):end);
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2014-04-23 16:45:09 +02:00
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saved_endo_simul = oo_.endo_simul;
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2014-12-19 16:48:17 +01:00
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oo_ = simulation_core(options_, M_, oo_);
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2014-04-10 16:38:39 +02:00
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if oo_.deterministic_simulation.status == 1
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current_weight = new_weight;
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if current_weight >= 1
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break
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end
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success_counter = success_counter + 1;
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if success_counter >= 3
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success_counter = 0;
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step = step * 2;
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2014-04-23 15:04:59 +02:00
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disp([ 'Homotopy step succeeded, doubling step size (completed ' sprintf('%.1f', current_weight*100) '%, step size ' sprintf('%.3g', step) ')' ])
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2014-04-10 16:38:39 +02:00
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else
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2014-04-23 15:04:59 +02:00
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disp([ 'Homotopy step succeeded (completed ' sprintf('%.1f', current_weight*100) '%, step size ' sprintf('%.3g', step) ')' ])
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2014-04-10 16:38:39 +02:00
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end
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else
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2014-04-23 16:45:09 +02:00
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oo_.endo_simul = saved_endo_simul;
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2014-04-10 16:38:39 +02:00
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success_counter = 0;
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step = step / 2;
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2014-04-23 15:04:59 +02:00
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disp([ 'Homotopy step failed, halving step size (completed ' sprintf('%.1f', current_weight*100) '%, step size ' sprintf('%.3g', step) ')' ])
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2014-04-10 16:38:39 +02:00
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end
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end
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end
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if oo_.deterministic_simulation.status == 1
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disp('Perfect foresight solution found.')
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else
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2014-11-16 14:35:58 +01:00
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warning('Failed to solve perfect foresight model')
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2014-04-10 16:38:39 +02:00
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end
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dyn2vec;
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2014-07-16 17:02:58 +02:00
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if isnan(options_.initial_period)
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initial_period = dates(1,1);
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else
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initial_period = options_.initial_period;
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end
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ts = dseries(transpose(oo_.endo_simul),initial_period,cellstr(M_.endo_names));
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2014-12-19 16:48:17 +01:00
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assignin('base', 'Simulated_time_series', ts);
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