master
michael 2022-12-01 05:59:32 +08:00
parent 263bde65fb
commit 2b25d61dfb
7 changed files with 148 additions and 39 deletions

1
.gitignore vendored
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@ -3,4 +3,5 @@
!*.cpp
!*.hpp
!include/
!scripts/
!.gitignore

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@ -59,6 +59,7 @@
"deque": "cpp",
"fstream": "cpp",
"iomanip": "cpp",
"stack": "cpp"
"stack": "cpp",
"numeric": "cpp"
}
}

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@ -1,3 +1,4 @@
cmake_minimum_required(VERSION 3.25)
project(test_econ_model)
# set(models "fixed-simple, lending, pop-simple")
# foreach(model models)
@ -5,6 +6,6 @@ project(test_econ_model)
# endforeach()
make_directory(bin)
include_directories(include/)
add_executable(./bin/fixed-simple fixed-simple.cpp)
add_executable(./bin/wealth-flow wealth-flow.cpp)
add_executable(./bin/pop-simple pop-simple.cpp)
add_executable(pop-simple pop-simple.cpp)
# add_executable(./bin/fixed-simple fixed-simple.cpp)
# add_executable(./bin/wealth-flow wealth-flow.cpp)

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@ -1,12 +1,32 @@
#include<iostream>
#include <iostream>
#include <vector>
#include <random>
std::random_device econ_dev;
std::mt19937 econ_rng(econ_dev());
/**
* @brief Simple random economic spend decision
*
* @param balances Balances vec
* @param id ID of participant making the decision
* @param spend_ratio Proportion of savings they are willing
* to spend
*/
void economic_decision_simple(std::vector<int> &balances, int id, float spend_ratio) {
// assert(spend_ratio > 0 && spend_ratio <= 1);
std::cout << "test" << std::endl;
int total_bal = balances.at(id);
int spendable = (random() * spend_ratio) * total_bal;
int recipient_id = random() * (balances.size());
// random spend ratio is too costly
// std::uniform_int_distribution<std::mt19937::result_type> dist_spend_ratios(0,10000 * spend_ratio);
std::uniform_int_distribution<std::mt19937::result_type> dist_len(0,balances.size()-1);
int spendable = spend_ratio * total_bal;
int recipient_id = dist_len(econ_rng);
balances.at(id) -= spendable;
balances.at(recipient_id) += spendable;
}
void economic_decision_tiered(std::vector<int> &balances, int id, float spend_ratio) {
}

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@ -16,14 +16,13 @@ void dump_balances_csv(std::vector<int> balances, std::string name) {
file.close();
}
void dump_balances_and_ages_csv(std::vector<int> balances, std::vector<int> ages, std::string name) {
assert(balances.size() == ages.size());
std::string csv_data = "Id,Balance,Age\n";
for (int i = 0; i < balances.size(); i++) {
csv_data += std::to_string(i+1)+ "," +
std::to_string(ages[i]) + "," +
std::to_string(balances[i]) + "\n";
std::to_string(balances[i]) + "," +
std::to_string(ages[i]) + "\n";
}
std::ofstream file;
file.open(name + ".csv");

12
include/util.hpp Normal file
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@ -0,0 +1,12 @@
#include <iostream>
#include <vector>
#include <random>
std::random_device util_dev;
std::mt19937 util_rng(util_dev());
int random_item(std::vector<int> items, bool get_id) {
std::uniform_int_distribution<std::mt19937::result_type> dist_len(0,items.size()-1);
int id = dist_len(util_rng);
return get_id ? id : items[id];
}

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@ -1,59 +1,90 @@
#include <iostream>
#include <vector>
#include <map>
#include <cmath>
#include <cstdlib>
#include <algorithm>
#include "econ.hpp"
#include "io.hpp"
#include "util.hpp"
std::map<std::string, std::string> config;
#define c(a) config[a]
#define ci(a) std::stoi(config[a])
#define cf(a) std::stof(config[a])
#define csets(k, v) config[k] = v
#define csetn(k, v) config[k] = std::to_string(v);
std::vector<int> ages;
std::vector<int> balances;
const int N_o = 10;
const int N = 10000;
const int DURATION = 1000;
const int MAX_AGE = 100;
enum estate_mode {
EVEN_REDIST,
INHERITANCE
};
const int STARTING_BALANCE=50000;
// used by kill_even_redist
const int LOGISTIC_CARRYING_CAPACITY = 100000;
const float LOGISTIC_GROWTH_RATE = 0.04;
const int LOGISTIC_MIDPOINT = DURATION / 2;
int redist_total = 0;
int redist_total_next = 0;
// pop modeling functions
/**
* @brief kill participant of ID and redistribute their wealth
* to all other remaining participants evenly
*
* @param id ID of participant to kill
*/
void kill_even_redist(int id) {
int bal = balances.at(id);
ages.erase(ages.begin()+id);
balances.erase(balances.begin()+id);
int alloc_each = bal / balances.size();
for (int i = 0; i < balances.size(); i++) {
balances.at(i) += alloc_each;
}
redist_total_next += bal;
}
/**
* @brief kill participant of ID and give it to one random
* participant as inheritance
*
* @param id ID of participant to kill
*/
void kill_inheritance(int id) {
int bal = balances.at(id);
ages.erase(ages.begin()+id);
balances.erase(balances.begin()+id);
int recipient_id = (balances.size() - 1) * random();
int recipient_id = random_item(balances, true);
balances.at(recipient_id) += bal;
}
void age_all() {
/**
* @brief Age all participants by 1 year & kill any that are
* over the age limit
*
* @param mode Redistribution mode
*/
void age_all(estate_mode mode) {
for (int i = 0; i < ages.size(); i++) {
ages.at(i) += 1;
if (ages.at(i) > MAX_AGE) {
// kill_inheritance(i);
if (ages.at(i) > ci("MAX_AGE")) {
switch (mode) {
case INHERITANCE:
kill_inheritance(i);
break;
case EVEN_REDIST:
kill_even_redist(i);
break;
}
}
}
}
int logistic_population_func(int year) {
// https://en.wikipedia.org//wiki/Logistic_function
return (LOGISTIC_CARRYING_CAPACITY /
(1 + exp(-LOGISTIC_GROWTH_RATE * (year - LOGISTIC_MIDPOINT))));
return ci("N_o") + (ci("N_f") - ci("N_o")) /
(1 + exp(-cf("GROWTH_RATE") * (year - ci("DURATION")/2)));
}
void adjust_population(int year) {
@ -61,22 +92,66 @@ void adjust_population(int year) {
if (diff > 0) {
for (int i = 0; i < diff; i++) {
ages.push_back(1);
balances.push_back(0);
balances.push_back(ci("STARTING_BALANCE_NEW"));
}
}
}
int main() {
// init state
ages.assign(N_o, 1);
balances.assign(N_o, STARTING_BALANCE);
// set config
for (int year = 0; year < DURATION; year++) {
age_all();
// model params
csetn("DURATION", 1000);
csetn("MAX_AGE", 81);
csetn("INIT_BALANCE_EACH", 5000);
csetn("STARTING_BALANCE_NEW", 1000); // effectively inflation rate
// logistic growth params
csetn("N_o", 10);
csetn("N_f", 10000);
csetn("GROWTH_RATE", 0.04);
// init state
ages.assign(ci("N_o"), 1);
balances.assign(ci("N_o"), ci("INIT_BALANCE_EACH"));
// estate mode
estate_mode emode = EVEN_REDIST;
for (int year = 0; year < ci("DURATION"); year++) {
// std::cout << year << "\t" << balances.size() << std::endl;
age_all(emode);
adjust_population(year);
// for (int j = 0; j < balances.size(); j++) {
// economic_decision_simple(balances, j, 0.4);
// }
for (int j = 0; j < balances.size(); j++) {
// redistribute estates
balances.at(j) += redist_total / balances.size();
// make 3 arbitrary spending decisions -> 30% of savings
for (int k = 0; k < 3; k++) {
economic_decision_simple(balances, j, 0.1);
}
}
// std::cout << redist_total << " distributed\n";
if (year % 100 == 0) {
int avg = 0;
int avg_age = 0;
for (int i = 0; i < balances.size(); i++) {
avg += balances[i];
}
for (int i = 0; i < balances.size(); i++) {
avg_age += ages[i];
}
avg /= balances.size();
avg_age /= ages.size();
std::cout << std::endl;
std::cout << "year: " << year << std::endl;
std::cout << "avg bal: " << avg << std::endl;
std::cout << "avg age: " << avg_age << std::endl;
std::cout << "players: " << balances.size() << std::endl;
}
// reset redist tally
redist_total = redist_total_next;
redist_total_next = 0;
}
// std::sort(balances.begin(), balances.end(), std::greater<int>());