Fictitious Play Algorithm
curl --request POST \
--url https://api.fincept.in/quantlib/economics/games/fictitious-play \
--header 'Content-Type: application/json' \
--header 'X-API-Key: <api-key>' \
--data '
{
"payoff_matrix_1": [
[
3,
0
],
[
5,
1
]
],
"payoff_matrix_2": [
[
3,
5
],
[
0,
1
]
],
"iterations": 1000,
"seed": 42
}
'import requests
url = "https://api.fincept.in/quantlib/economics/games/fictitious-play"
payload = {
"payoff_matrix_1": [[3, 0], [5, 1]],
"payoff_matrix_2": [[3, 5], [0, 1]],
"iterations": 1000,
"seed": 42
}
headers = {
"X-API-Key": "<api-key>",
"Content-Type": "application/json"
}
response = requests.post(url, json=payload, headers=headers)
print(response.text)const options = {
method: 'POST',
headers: {'X-API-Key': '<api-key>', 'Content-Type': 'application/json'},
body: JSON.stringify({
payoff_matrix_1: [[3, 0], [5, 1]],
payoff_matrix_2: [[3, 5], [0, 1]],
iterations: 1000,
seed: 42
})
};
fetch('https://api.fincept.in/quantlib/economics/games/fictitious-play', options)
.then(res => res.json())
.then(res => console.log(res))
.catch(err => console.error(err));<?php
$curl = curl_init();
curl_setopt_array($curl, [
CURLOPT_URL => "https://api.fincept.in/quantlib/economics/games/fictitious-play",
CURLOPT_RETURNTRANSFER => true,
CURLOPT_ENCODING => "",
CURLOPT_MAXREDIRS => 10,
CURLOPT_TIMEOUT => 30,
CURLOPT_HTTP_VERSION => CURL_HTTP_VERSION_1_1,
CURLOPT_CUSTOMREQUEST => "POST",
CURLOPT_POSTFIELDS => json_encode([
'payoff_matrix_1' => [
[
3,
0
],
[
5,
1
]
],
'payoff_matrix_2' => [
[
3,
5
],
[
0,
1
]
],
'iterations' => 1000,
'seed' => 42
]),
CURLOPT_HTTPHEADER => [
"Content-Type: application/json",
"X-API-Key: <api-key>"
],
]);
$response = curl_exec($curl);
$err = curl_error($curl);
curl_close($curl);
if ($err) {
echo "cURL Error #:" . $err;
} else {
echo $response;
}package main
import (
"fmt"
"strings"
"net/http"
"io"
)
func main() {
url := "https://api.fincept.in/quantlib/economics/games/fictitious-play"
payload := strings.NewReader("{\n \"payoff_matrix_1\": [\n [\n 3,\n 0\n ],\n [\n 5,\n 1\n ]\n ],\n \"payoff_matrix_2\": [\n [\n 3,\n 5\n ],\n [\n 0,\n 1\n ]\n ],\n \"iterations\": 1000,\n \"seed\": 42\n}")
req, _ := http.NewRequest("POST", url, payload)
req.Header.Add("X-API-Key", "<api-key>")
req.Header.Add("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)
defer res.Body.Close()
body, _ := io.ReadAll(res.Body)
fmt.Println(string(body))
}HttpResponse<String> response = Unirest.post("https://api.fincept.in/quantlib/economics/games/fictitious-play")
.header("X-API-Key", "<api-key>")
.header("Content-Type", "application/json")
.body("{\n \"payoff_matrix_1\": [\n [\n 3,\n 0\n ],\n [\n 5,\n 1\n ]\n ],\n \"payoff_matrix_2\": [\n [\n 3,\n 5\n ],\n [\n 0,\n 1\n ]\n ],\n \"iterations\": 1000,\n \"seed\": 42\n}")
.asString();require 'uri'
require 'net/http'
url = URI("https://api.fincept.in/quantlib/economics/games/fictitious-play")
http = Net::HTTP.new(url.host, url.port)
http.use_ssl = true
request = Net::HTTP::Post.new(url)
request["X-API-Key"] = '<api-key>'
request["Content-Type"] = 'application/json'
request.body = "{\n \"payoff_matrix_1\": [\n [\n 3,\n 0\n ],\n [\n 5,\n 1\n ]\n ],\n \"payoff_matrix_2\": [\n [\n 3,\n 5\n ],\n [\n 0,\n 1\n ]\n ],\n \"iterations\": 1000,\n \"seed\": 42\n}"
response = http.request(request)
puts response.read_body{
"success": true,
"data": {
"strategy_1": [
0.1,
0.9
],
"strategy_2": [
0.05,
0.95
],
"iterations": 1000
}
}{
"detail": "Invalid API key"
}{
"detail": "Endpoint requires Basic tier or higher"
}{
"detail": [
{
"loc": [
"body",
"iterations"
],
"msg": "ensure this value is greater than 0",
"type": "value_error.number.not_gt"
}
]
}quantlib-economics
Fictitious Play Algorithm
Find approximate Nash equilibrium using fictitious play learning dynamics. Each player best-responds to the empirical frequency of opponent’s past play. Converges to Nash equilibrium for certain game classes (e.g., zero-sum games, potential games). Returns the limiting mixed strategy profile after specified iterations. Useful for learning dynamics and evolutionary game theory. [Tier: STANDARD, Credits: 2]
POST
/
quantlib
/
economics
/
games
/
fictitious-play
Fictitious Play Algorithm
curl --request POST \
--url https://api.fincept.in/quantlib/economics/games/fictitious-play \
--header 'Content-Type: application/json' \
--header 'X-API-Key: <api-key>' \
--data '
{
"payoff_matrix_1": [
[
3,
0
],
[
5,
1
]
],
"payoff_matrix_2": [
[
3,
5
],
[
0,
1
]
],
"iterations": 1000,
"seed": 42
}
'import requests
url = "https://api.fincept.in/quantlib/economics/games/fictitious-play"
payload = {
"payoff_matrix_1": [[3, 0], [5, 1]],
"payoff_matrix_2": [[3, 5], [0, 1]],
"iterations": 1000,
"seed": 42
}
headers = {
"X-API-Key": "<api-key>",
"Content-Type": "application/json"
}
response = requests.post(url, json=payload, headers=headers)
print(response.text)const options = {
method: 'POST',
headers: {'X-API-Key': '<api-key>', 'Content-Type': 'application/json'},
body: JSON.stringify({
payoff_matrix_1: [[3, 0], [5, 1]],
payoff_matrix_2: [[3, 5], [0, 1]],
iterations: 1000,
seed: 42
})
};
fetch('https://api.fincept.in/quantlib/economics/games/fictitious-play', options)
.then(res => res.json())
.then(res => console.log(res))
.catch(err => console.error(err));<?php
$curl = curl_init();
curl_setopt_array($curl, [
CURLOPT_URL => "https://api.fincept.in/quantlib/economics/games/fictitious-play",
CURLOPT_RETURNTRANSFER => true,
CURLOPT_ENCODING => "",
CURLOPT_MAXREDIRS => 10,
CURLOPT_TIMEOUT => 30,
CURLOPT_HTTP_VERSION => CURL_HTTP_VERSION_1_1,
CURLOPT_CUSTOMREQUEST => "POST",
CURLOPT_POSTFIELDS => json_encode([
'payoff_matrix_1' => [
[
3,
0
],
[
5,
1
]
],
'payoff_matrix_2' => [
[
3,
5
],
[
0,
1
]
],
'iterations' => 1000,
'seed' => 42
]),
CURLOPT_HTTPHEADER => [
"Content-Type: application/json",
"X-API-Key: <api-key>"
],
]);
$response = curl_exec($curl);
$err = curl_error($curl);
curl_close($curl);
if ($err) {
echo "cURL Error #:" . $err;
} else {
echo $response;
}package main
import (
"fmt"
"strings"
"net/http"
"io"
)
func main() {
url := "https://api.fincept.in/quantlib/economics/games/fictitious-play"
payload := strings.NewReader("{\n \"payoff_matrix_1\": [\n [\n 3,\n 0\n ],\n [\n 5,\n 1\n ]\n ],\n \"payoff_matrix_2\": [\n [\n 3,\n 5\n ],\n [\n 0,\n 1\n ]\n ],\n \"iterations\": 1000,\n \"seed\": 42\n}")
req, _ := http.NewRequest("POST", url, payload)
req.Header.Add("X-API-Key", "<api-key>")
req.Header.Add("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)
defer res.Body.Close()
body, _ := io.ReadAll(res.Body)
fmt.Println(string(body))
}HttpResponse<String> response = Unirest.post("https://api.fincept.in/quantlib/economics/games/fictitious-play")
.header("X-API-Key", "<api-key>")
.header("Content-Type", "application/json")
.body("{\n \"payoff_matrix_1\": [\n [\n 3,\n 0\n ],\n [\n 5,\n 1\n ]\n ],\n \"payoff_matrix_2\": [\n [\n 3,\n 5\n ],\n [\n 0,\n 1\n ]\n ],\n \"iterations\": 1000,\n \"seed\": 42\n}")
.asString();require 'uri'
require 'net/http'
url = URI("https://api.fincept.in/quantlib/economics/games/fictitious-play")
http = Net::HTTP.new(url.host, url.port)
http.use_ssl = true
request = Net::HTTP::Post.new(url)
request["X-API-Key"] = '<api-key>'
request["Content-Type"] = 'application/json'
request.body = "{\n \"payoff_matrix_1\": [\n [\n 3,\n 0\n ],\n [\n 5,\n 1\n ]\n ],\n \"payoff_matrix_2\": [\n [\n 3,\n 5\n ],\n [\n 0,\n 1\n ]\n ],\n \"iterations\": 1000,\n \"seed\": 42\n}"
response = http.request(request)
puts response.read_body{
"success": true,
"data": {
"strategy_1": [
0.1,
0.9
],
"strategy_2": [
0.05,
0.95
],
"iterations": 1000
}
}{
"detail": "Invalid API key"
}{
"detail": "Endpoint requires Basic tier or higher"
}{
"detail": [
{
"loc": [
"body",
"iterations"
],
"msg": "ensure this value is greater than 0",
"type": "value_error.number.not_gt"
}
]
}Authorizations
API key for authentication. Get your key at https://api.fincept.in/auth/register
Body
application/json
Payoff matrix for Player 1
Example:
[[3, 0], [5, 1]]
Payoff matrix for Player 2
Example:
[[3, 5], [0, 1]]
Number of iterations to run
Required range:
x >= 1Example:
1000
Random seed for reproducibility (null for random)
Example:
42
⌘I
