Error: Javascript scripting is disabled
Energy K+S


Introduction

The energy-augmented Keynes + Schumpeter computer-simulation model (K+S) was designed to allow the study of several relevant properties of the macroeconomic and energy systems, and their impacts on climate change. K+S is a general disequilibrium, stock-and-flow consistent agent-based theoretical model, populated by heterogeneous firms, banks, and energy producers, which behave according to bounded-rational rules.

This model is based on the "Dystopian Schumpeter meeting Keynes Refresh" (DSK) model. The climate part is based on the carbon-cycle of C-ROADS model (Sterman et al. 2013).

Details on K+S theoretical grounds, structure and configuration can be obtained in the following papers:

    Lamperti, F., G. Dosi, G. Fagiolo, M. Napoletano, A. Roventini, and A. Sapio (2018). Faraway, So Close: Coupled Climate and Economic Dynamics in an Agent-based Integrated Assessment Model. Ecological Economics, 150(C):315-339, DOI.
    Sterman, J. D., et al. (2013). Management flight simulators to support climate negotiations. Environmental Modelling & Software, 44:122-135, DOI.
    Dosi, G., G. Fagiolo, and A. Roventini (2010). Schumpeter meeting Keynes: A policy-friendly model of endogenous growth and business cycles. Journal of Economic Dynamics and Control, 34(9):1748-1767, DOI.

Configuration

Parameters

Parameter Description Type Range Value
tr Tax rate real 0-0.3
rT Target prime interest rate set by central bank real 0.005-0.05
muDeb Bank spread (mark-up) on debt (over central bank prime rate) real 0.1-0.5
Lambda Credit limit as a multiple of sales or net worth real 1-4
phi Unemployment benefit as share of average nominal wage real 0-1
psi2 Elasticity of wages to aggregate productivity growth real 0.95-1.05
eta Technical lifetime of machines real 10-40
nu Share of revenue applied in R&D in capital-good sector real 0.01-0.2
xi Share of R&D expenses in innovation in the capital-good sector real 0.2-0.8
b Number of pay-back periods before machine scrapping real 1-10
m2 Machine output in consumption-good units per period in consumption-good sector real 10-100
alpha1 First Beta distribution parameter for innovation drawing real 1-5
beta1 Second Beta distribution parameter for innovation drawing real 1-5
alpha2 First Beta distribution parameter for imitation drawing real 1-5
beta2 Second Beta distribution parameter for imitation drawing real 1-5
zeta1 Expected elasticity of R&D expense in innovation success real 0.1-0.6
zeta2 Expected elasticity of R&D expense in imitation success real 0.1-0.6
x1infLP Lower support for new machine labor productivity innovation real -0.3--0.1
x1supLP Upper support for new machine labor productivity innovation real 0.1-0.3
gamma New customer share for firm in capital-good sector real 0.2-0.8
iota Share of inventories on planned output in consumption-good sector real 0-0.3
mu1 Mark-up in capital-good sector real 0.01-0.2
omicron Sensitivity of entry to market conditions real 0-1
chi Replicator dynamics selectivity coefficient in consumption-good sector real 0.2-5
upsilon Sensitivity of mark-up adjustment in consumption-good sector real 0.01-0.1
u Planned utilization of machinery in consumption-good sector real 0.5-1
x5 Upper share limit for productivity improvement of entrant in capital-good sector real 0-1
f2min Minimum market share to stay in consumption-good sector real 1e-06-0.001
Phi1 Lower support for entrant net worth share in consumption-good sector real 0-0.5
Phi2 Upper support for entrant net worth share in consumption-good sector real 0.5-1
Phi3 Lower support for entrant net worth share in capital-good sector real 0-0.5
Phi4 Upper support for entrant net worth share in capital-good sector real 0.5-1
omega1 Competitiveness weight of price in consumption-good sector real 0.2-5
omega2 Competitiveness weight of unfilled demand in consumption-good sector real 0.2-5
mu20 Initial mark-up in consumption-good sector real 0.1-0.5
alphaE First Beta distribution parameter for energy generation innovation drawing real 1-5
betaE Second Beta distribution parameter for energy generation innovation drawing real 1-5
bE Number of pay-back periods for green energy investment real 5-20
etaE Technical life time of power plants real 40-150
muE0 Initial mark-up of energy producer as share of real wage real 0.0001-0.01
nuE Share of revenue applied in R&D by energy producer real 0.001-0.1
pF Price of fossil fuel real 5e-05-0.005
zetaDE Average productivity gain of R&D expense in dirty energy innovation real 0.001-0.1
zetaGE Average productivity gain of R&D expense in green energy innovation real 0.001-0.1
Ls0 Initial number of workers in labor market real 125000-500000
EqB0 Initial equity of bank as multiple of firms total net worth real 0.2-5
NW10 Average initial net worth of capital-good firm real 200-5000
NW20 Average initial net worth in consumption-good sector real 200-5000
NWe0 Initial net worth of energy producer real 0-1000
fGE0 Initial share of green power plants and floor to dynamic R&D allocation real 0-1

Simulation settings

Parameter Description Type Range Value
_timeSteps_ Number of time steps to perform the simulation integer 1-100000
_numRuns_ Number of times to repeat the simulation (Monte Carlo experiment) integer 1-100000
_rndSeed_ First seed to be used to initialize the pseudorandom number generator integer 1-100000

Execution

Status

Simulation not started

Elapsed time

0h00min00s

Analysis

Available time series

Variable Description Selected
A Overall labor productivity
C Nominal (monetary terms) aggregated consumption
Cd Nominal (monetary terms) desired aggregated consumption
Creal Real (in initial prices terms) aggregated consumption
Deb Accumulated government debt
DebGDP Government debt on GDP ratio
Def Government current deficit (negative if surplus)
DefP Government primary deficit (negative if surplus)
DefPgdp Government primary deficit on GDP ratio
Div Total dividends paid by firms and banks
Em Total CO2 (carbon) emissions produced
En Total energy consumed
Eq Total firm equity hold by workers/households
G Government expenditure (exogenous demand)
GDPnom Gross domestic product in nominal (monetary) terms
GDPreal Real (in initial prices terms) gross domestic product
Sav Residual nominal consumption in period (forced savings)
SavAcc Accumulated nominal consumption from previous periods (forced savings)
Tax Government tax income
TaxDiv Total taxes paid on dividends
cEntry Entry costs (from equity) in current period in both sectors
cExit Exit credits from net cash in current period in both sectors
dAb Notional overall productivity (bounded) growth rate
dGDP Gross domestic product (log) growth rate
BD Sovereign bond demand from financial sector
BS Sovereign bond supply from government
BadDeb Total losses from bad debt in financial sector
BondsB Total sovereign bonds stock hold by financial sector
BondsCB Total sovereign bonds stock hold by central bank
Cl Total number of firm clients (customers) of financial sector
Depo Total deposits on financial sector
DepoG Government deposits (accumulated surplus) at central bank
ExRes Excess reserves (free cash) hold by financial sector
Gbail Total government bailout funds to financial sector
Loans Total loans (not defaulted) from financial sector
LoansCB Total liquidity loans from central bank to financial sector
NWb Total net worth of financial sector
PiB Total profits (before tax) of financial sector
PiCB Central bank operational surplus (deficit)
Res Total required reserves at the central bank of financial sector
iB Interest on loans received by financial sector
iDb Interest on deposits paid by financial sector
r Prime interest rate set by central bank
rBonds Interest rate paid by government bonds
rD Interest rate paid on bank deposits
rDeb Interest rate paid on bank debt
rRes Interest rate paid on central bank reserves
Ca Concentration of carbon in atmosphere
Cb Concentration of carbon in biomass
Cd1 Concentration of carbon in deep sea layer 1
Cd2 Concentration of carbon in deep sea layer 2
Cd3 Concentration of carbon in deep sea layer 3
Cd4 Concentration of carbon in deep sea layer 4
Cs Concentration of carbon in soils
Cm Effective concentration of carbon in mixed sea layer
EmC Four-period rolling carbon emissions in GtC (uncalibrated)
EmCa Four-period (yearly) accumulated carbon emissions calibrated to reference
Td1 Temperature change (from pre-industrial) of atmosphere at deep sea layer 1
Td2 Temperature change (from pre-industrial) of atmosphere at deep sea layer 2
Td3 Temperature change (from pre-industrial) of atmosphere at deep sea layer 3
Td4 Temperature change (from pre-industrial) of atmosphere at deep sea layer 4
Tm Temperature change (from pre-industrial) of mixed sea layer/atmosphere
sigma10y Standard deviation of temperature anomaly in past 10 years
Ce Total generation costs of energy sector
CeEq Cost (revenue) of energy price equalization supported by government
CIe Total canceled investment in energy sector
De Demand of energy from firms in capital- and consumer-good sectors
DeE Demand expectation of energy sector
DebE Total debt of energy sector
Df Demand (physical units) of fossil fuel by energy sector
DivE Total dividends paid by energy sector
EIe Expansion investment (in capacity terms) of energy producer
EIeD Total desired expansion investment (in capacity terms) of energy sector
EmE CO2 (carbon) emissions of energy sector
EqE Equity hold by workers/households from firms in energy sector
Fe Number of firms in energy sector
IeNom Total investment (nominal/currency terms) of energy sector
JOe Total open job positions in energy sector
Ke Total generation capacity of power plants in energy sector
KeNom Total capital (nominal/money terms) in energy sector
Kde Total generation capacity of dirty power plants in energy sector
Kge Total generation capacity of green power plants in energy sector
Le Total labor employed in sector energy sector
LeD Total desired labor in energy sector
LeDrd Total desired R&D labor in energy sector
LeRD Total R&D labor employed in energy sector
MCe Market entry conditions index in energy sector
NWe Net worth of energy sector
PiE Cash flow ("profits") of energy producer
Qe Total generation of energy producer
QeO Total generation offered by energy sector
SIe Substitution investment (in capacity terms) of energy producer
SIeD Desired substitution investment (in capacity terms) of energy producer
Se Sales of energy sector
TaxE Taxes paid by energy producer
We Total wages paid by energy sector
cEntryE Cost (new equity) of firm entries in energy sector
cExitE Credits (returned equity) from firm exits in energy sector
entryE Rate of firms entering the energy sector
entryEexit Net (number of) entrant firms in energy sector
exitE Rate of firms exiting the capital-good sector
iDe Interest received from deposits by energy sector
iE Interest paid by energy sector
pE Price of energy
pF Price of fossil fuel
L Labor aggregated demand
Ls Labor force size (supply)
TaxW Total taxes paid by workers (over wages and dividends)
U Unemployment rate (including discouraged workers)
W Total (nominal) wages
dUb Unemployment (bounded) rate of change
w Centralized wage
wReal Centralized real wage
wU Unemployment benefit paid by government
A1 Labor productivity of capital-good sector
D1 Total demand (orders) received by capital-good sector
Deb1 Total debt of capital-good sector
Em1 Total CO2 (carbon) emissions produced by capital-good sector
En1 Total energy demanded by capital-good sector
Eq1 Equity hold by workers/households from firms in capital-good sector
F1 Number of firms in capital-good sector
L1 Total labor employed in capital-good sector
L1d Total desired labor in capital-good sector
L1dRD Total desired R&D labor in capital-good sector
L1rd Total R&D labor employed in capital-good sector
MC1 Market entry conditions index in capital-good sector
NW1 Total net worth of capital-good sector
PPI Producer price index
Pi1 Total profits (before tax) of capital-good sector
Q1 Total planned (real) output of capital-good sector
Q1e Total effective (real) output of capital-good sector
S1 Total sales of capital-good sector
W1 Total wages paid by capital-good sector
cEntry1 Cost (new equity) of firm entries in capital-good sector
cExit1 Credits (returned equity) from firm exits in capital-good sector
entry1 Rate of firms entering the capital-good sector
entry1exit Net (number of) entrant firms in capital-good sector
exit1 Rate of firms exiting the capital-good sector
i1 Interest paid by capital-good sector
imi Rate of firms successfully imitating in capital-good sector
inn Rate of firms successfully innovating in capital-good sector
p1avg Weighted average price in capital-good sector
A2 Machine-level weighted-average labor productivity of consumption-good sector
CI Total canceled investment in consumption-good sector
CPI Consumer price index
Deb2 Total debt of consumption-good sector
D2 Demand fulfilled by consumption-good sector
D2d Desired demand from consumption-good sector
D2e Demand expectation of consumption-good sector
Eavg Weighted average competitiveness in consumption-good sector
EI Total expansion investment in consumption-good sector
Em2 Total CO2 (carbon) emissions produced by consumption-good sector
En2 Total energy demanded by consumption-good sector
Eq2 Equity hold by workers/households from firms in consumption-good sector
F2 Number of firms in consumption-good sector
Id Total desired (real terms) investment in consumption-good sector
Inom Aggregated investment (nominal/currency terms) in consumption-good sector
Ireal Aggregated real investment (in initial prices terms)
K Total capital stock in consumption-good sector
Kd Total desired capital stock in consumption-good sector
Knom Total capital (nominal/money terms) in consumption-good sector
L2 Total labor employed in consumption-good sector
L2d Total desired labor in consumption-good sector
MC2 Market entry conditions index in consumption-good sector
N Total inventories (real terms) in consumption-good sector
NW2 Total net worth of consumption-good sector
Pi2 Total profits (before tax) of consumption-good sector
Q2 Total planned (real) output before constraints of consumption-good sector
Q2d Total desired (real) output of consumption-good sector
Q2e Total effective (real) output of consumption-good sector
Q2p Total potential (real) output of consumption-good sector
Q2u Capacity utilization in consumption-good sector
SI Total substitution investment in consumption-good sector
S2 Total sales of consumption-good sector
W2 Total wages paid by consumption-good sector
c2 Planned average unit cost in consumption-good sector
c2e Effective average unit cost in consumption-good sector
cEntry2 Cost (new equity) of firm entries in consumption-good sector
cExit2 Credits (returned equity) from firm exits in consumption-good sector
dCPI Consumer price index inflation (change) rate
dCPIb Consumer price index (bounded) rate of change
dNnom Change in total nominal (currency terms) inventories in consumption-good sector
entry2 Rate of firms entering the consumption-good sector
entry2exit Net (number of) entrant firms in consumption-good sector
exit2 Rate of firms exiting the consumption-good sector
i2 Interest paid by consumption-good sector
l2avg Weighted average unfilled demand in consumption-good sector
p2avg Weighted average price in consumption-good sector
Aee Overall energy efficiency
Aef Overall environmental friendliness
BadDebAcc Bank accumulated losses from bad debt
Bda Fragility of financial sector
Bfail Rate of bank failures
CD Total credit demand
CDc Total credit demand constraint
CO2a CO2 concentration in atmosphere in PPM
CS Total credit supplied
DefGDP Government deficit on GDP ratio
EmGDP CO2 emissions to GDP ratio
GDI Gross domestic income
HHb Normalized Herfindahl-Hirschman concentration index in financial sector
HPb Hymer-Pashigian index (sum of market share changes) in financial sector
TC Total credit supply provided by financial sector
TaxCO2 Government CO2 (carbon) tax income
dA Overall labor productivity growth rate
dEm Overall CO2 emissions growth rate
shockAavg Expected average disaster generating function shock
Ade Thermal efficiency of energy sector
AtauDEavg Average thermal efficiency of a new dirty power plant in energy sector
CDe Total credit demand in energy sector
CDeC Total credit demand constraint in energy sector
CSe Total credit supplied in energy sector
DebEmax Total maximum prudential credit supplied in energy sector
EnGDP Energy demand to GDP ratio
HHe Normalized Herfindahl-Hirschman index in energy sector
HPe Hymer-Pashigian index in energy sector
ICtauGEavg Average unit installation cost of a new green power plant in energy sector
RDe R&D expenditure of energy sector
RSe Power plant (planned) scrapping rate of energy producer
ageEavg Average age of firms in energy sector
dEmE CO2 emissions growth rate of energy producer
dEn Overall energy demand growth rate
emTauDEavg Average emissions of a new dirty energy power plant in energy sector
exitEfail Rate of exiting bankrupt firms in energy sector
fGE Market share of green energy power plants in energy supply
fKge Share of green energy power plants in installed generation capacity
innDE Rate of firms successfully innovating in dirty energy
innGE Rate of firms successfully innovating in green energy
muEavg Weighted average markup in energy sector
A1ee Energy efficiency of capital-good sector
A1ef Environmental friendliness of capital-good sector
A2ee Energy efficiency of consumption-good sector
A2ef Environmental friendliness of consumption-good sector
A2sd Standard deviation of machine-level log labor productivity of consumption-good sector
AtauAvg Average labor productivity of machines supplied by capital-good sector
BtauAvg Average labor productivity of machines produced by capital-good sector
CD1 Total credit demand of capital-good sector
CD1c Total credit demand constraint of capital-good sector
CD2 Total credit demand of consumption-good sector
CD2c Total credit demand constraint of consumption-good sector
CS1 Total credit supplied to capital-good sector
CS2 Total credit supplied to consumption-good sector
Deb1max Total maximum prudential credit supplied to firms in capital-good sector
Deb2max Total maximum prudential credit supplied to firms in consumer-good sector
EId Total desired expansion investment in consumption-good sector
HCavg Number of historical clients of capital-good sector
HH1 Normalized Herfindahl-Hirschman index in capital-good sector
HH2 Normalized Herfindahl-Hirschman index in consumption-good sector
HP1 Hymer-Pashigian index (sum of market share changes) in capital-good sector
HP2 Hymer-Pashigian index (sum of market share changes) in consumption-good sector
NCavg Number of new clients of capital-good firms
RD R&D expenditure of capital-good sector
RS2 Machine (desired) scrapping rate in consumption-good sector
SId Total desired substitution investment in consumption-good sector
age1avg Average age of firm in capital-good sector
age2avg Average age of firm in consumption-good sector
dN Change in total inventories (real terms)
exit1fail Rate of exiting bankrupt firms in capital-good sector
exit2fail Rate of exiting bankrupt firms in consumption-good sector
mu2avg Weighted average mark-up of consumption-good sector
nBrochAvg Average number of machine brochures available to consumption-good sector
L2larg Number of workers of largest firm in consumption-good sector
V Labor vacancy rate
dw Nominal wage growth rate

Time step range

MC plot bands

Scale options

Export

Results status

Simulation not run

Date & time

-

Size

-

Reset

Press the button below to reset your session. Please note that all unsaved configuration or execution results will be irreversibly lost.

Help

Configuration section

The Configuration section allows the user to control many of its parameters, initial conditions and general simulation settings. From now on, each set of values to all the required parameters, initial conditions and simulation settings is defined as one model configuration. Every time the user initiates a new LSD web interface (LWI) session, the default model configuration is automatically loaded. From the Configuration section, the user can change any value, load a saved configuration or save the current configuration to her computer.

Configuration values can be of three types: real (floating point) numbers, integer numbers and discrete options (like yes/no). All values have predefined ranges (maximum and minimums or a set of options) and the user is not allowed to input values outside such ranges (an error message is produced).

Please note that not all combinations of configuration values may be adequate for the proper model operation. If unexpected results are obtained after changing several values at once, please try to restore some of them to the default configuration (by pressing the Default button besides any changed value) and execute the simulation again.

Model parameters

Model parameters are predefined and fixed values that are used to compute the model equations. For instance, the user can change parameters to modify simulated agent’s behavioural rules or the applicable institutional rules.

Initial conditions

Model initial conditions are the values assumed for variables which lagged values are required by the computation of model equations when the simulation starts.

Simulation settings

Simulation settings are values defining the operation of the simulation. timeSteps control the simulation time span. numRuns define how many times the simulation is run (repeated), which allows the analysis of the results as a Monte Carlo experiment. rndSeed controls the initialization of the pseudo-random number generator (PRNG). When multiple simulation runs are set, the PRNG seed is increased by one each time.

Saving the current configuration

At any moment while in the Configuration section, the user has the option to save the current configuration. The configuration is always saved to the user’s computer disk/storage as it is not possible to save it in the LWI server. It is important to regularly save any changes made to the default configuration, as any unsaved information is irreversibly lost whenever the user session expires or is reset (by clicking on Reset Session in Reset section).

To save the current configuration, simply click on Download in Configuration section. A dialog window will open, asking for the name and the destination folder of the configuration file. Configuration files have CSV (comma-separated values) format and “.csv” extension.

Loading an existing configuration

An existing configuration file, previously saved using the Download option, can be loaded at any time, by clicking on Upload in Configuration section. A dialog window will ask for the file containing the saved configuration, assuming the default “.csv” extension.

Resetting all configuration values to the defaults

Clicking Reset All replaces the current configuration values with the default ones. Be careful to use it if you have configuration changes to be saved, as the existing values are lost. If required, click on Download before using this option.

Execution section

The Execution section controls the execution of the simulation model in the LWI server. Model execution can take from a few seconds to several minutes, according to the selected configuration, in particular the chosen numbers of simulation time steps and runs.

Starting a simulation run

As soon as the user finishes the configuration of the model in the Configuration section, it is possible to start the execution by clicking on Start in the Execution section.

Stopping an unfinished simulation run

At any time the user may interrupt the simulation by clicking in Abort in the Execution section. Stopping the execution before the Status box shows “Simulation completed” aborts the simulation and no data is saved for analysis.

Checking the status of a running simulation

While the execution is going on, “Simulation running” is show in the Status box in the Execution section, together with the elapsed time. User can execute only one simulation instance at a time.

Viewing the simulation log

If there is any error preventing the simulation execution to complete, the Status box will show “Simulation failed” and the execution will be aborted and no data is saved for analysis. User can click on Log in Execution section to check the causes of the failure.

Analysis section

After the execution of the simulation model, when status box in the Execution section shows “Simulation completed”, the produced simulation time series will be available in the Analysis section.

The time series list

The user can select one or more series in time series list to be used when using the command buttons. Clicking once selects the time series and an additional click deselects it.

The time steps range selector

By default the commands in the Analysis section operate over all simulation time steps, from t = 1 to the number of time steps defined in the Configuration section. The user has the option to restrict the range of time steps to use in the analysis, by changing the default values in the Selected Time Steps box.

The scale options

The Scale box provide configuration to the scaling of the vertical axis of time series plots. The Auto option uses auto scaling to show the entire data range present in the series. The Manual option allows the user to select the minimum and maximum values for the vertical axis. The Log option uses a logarithmic scale (natural base) for the vertical plot axis, descriptive statistics and data table, instead of a linear one (Linear option).

The Monte Carlo (MC) plot bands

The MC-band options provide extra information for multi-run simulation plots. MC-bands are only available when numRuns, in Configuration section, is set to more than one run (at least 10 runs are recommended for sensible results). The Confidence option add a standard 95% confidence interval band to each series selected to plot. The Max-min option a band from the minimum to the maximum values obtained in the set of simulation runs.

Showing descriptive statistics

Clicking on Statistics in Analysis section creates a new browser window showing some descriptive statistics for the selected time series, including the mean, the standard deviation, the minimum and maximum values, the number of observations, and the Monte Carlo standard error (when the number of simulation runs is larger than one). If Log is selected, log values (natural base) are used in computations.

Creating data tables

Clicking on Data in Analysis section creates a new browser window containing a table with the selected time series in the columns and the time step values in the rows. If Log is selected, log values (natural base) are presented. At least one and up to 15 series can be selected at a time. However, multiple data windows may be open at any time.

Plotting time series

Clicking on Plot in Analysis section creates a new browser window with the selected time series plots. The horizontal axis represents the simulation time steps and the vertical axis, the selected series values. At least one and up to 15 series can be selected at a time. However, multiple data windows may be open at any time.

Export section

After an LWI simulation is successfully executed, the user can download the entire results data as (compressed) text file(s) in CSV (comma-separated values) format. CSV-formatted files can be easily imported in any numerical analysis software, like spreadsheets or statistical packages. File is compressed (zip format) only when there are results from more than one simulation run.

Saving the current configuration

As soon as simulation execution is finished, the results data file can be downloaded to the user’s computer. It is not possible to permanently save simulation results in the LWI server, so it is important to save relevant results before they are irreversibly lost whenever the user session expires or is reset (by clicking on Reset Session in Reset section).

To download any available results data, simply click on Download in Export section. A dialog window will open, asking for the name and the destination folder of the data file(s). Results files have the “.csv” extension by default and may be grouped inside a single compressed file with “.zip” extension.

The LWI data export format

LWI results data files may be zip compressed to allow downloading multiple files. Zip files can be easily decompressed in any platform.

Uncompressed CSV files are comma-separated text files. Columns contain single variables while lines represent variables values at each time step. However, the first line has a special meaning, being the first time step values located in the second line and so on. The first line contains the columns headers with the names of the variables in each column.

Reset section

The Reset Session button discards any changes made by the user, including configurations, running simulations or results data, and initiates a new LWI session. All configuration values entered by the user is lost. Any executing simulation is aborted and the results, lost.

Contact

Do you want to ask a question or inform a problem? Please send us a message.

Copyright © 2021 Scuola Superiore Sant’Anna

Powered by Chart.js, w3.css, LSD

Disclaimer: The information and views set out in this software are those of the author(s) and do not necessarily reflect the official opinion of the Scuola Superiore Sant’Anna. Sant’Anna does not guarantee the accuracy of the data included in this study. Neither Sant’Anna nor any person acting on Sant’Anna’s behalf may be held responsible for the use which may be made of the information contained therein.

Copyright Notice: This Model is property of the respective authors. The Model is protected by copyright laws, trademark and design rights. Any unauthorized use of the Model will be considered a violation of the authors’ intellectual property rights. The Model may not be copied, distributed, published or used in any way, in whole or in part, without prior written agreement from the authors, except as otherwise allowed by the agreed Conditions of Use.

No Warranties: this site, the associated model and its results are provided “as is” without any express or implied warranty of any kind including warranties of non-infringement of intellectual property or fitness for any particular purpose. In no event shall the authors or its suppliers and partners be liable for any damages whatsoever (including, without limitation, damages for loss of profits or loss of information) arising out of the use of or inability to use the information provided on this site, even if the authors or its suppliers and partners have been advised of the possibility of such damages. Because some jurisdictions prohibit the exclusion or limitation of liability for incidental or consequential damages, some of the above limitations may not apply to you.