Compute Best Responses

Find the best response strategy for each player given the opponent’s (possibly mixed) strategy. A best response maximizes a player’s expected payoff given the opponent’s strategy. Returns optimal strategies for both players. Essential for Nash equilibrium analysis, as mutual best responses characterize Nash equilibria. [Tier: STANDARD, Credits: 2]

POST /quantlib/economics/games/best-response

Compute Best Responses

cURL

curl --request POST \
  --url https://api.fincept.in/quantlib/economics/games/best-response \
  --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
    ]
  ],
  "strategy_1": [
    0.5,
    0.5
  ],
  "strategy_2": [
    0.5,
    0.5
  ]
}
'

200

{
  "success": true,
  "data": {
    "best_response_player_1": [
      0,
      1
    ],
    "best_response_player_2": [
      1,
      0
    ]
  }
}

Authorizations

X-API-Key · string · header · required

API key for authentication. Get your key at https://api.fincept.in/auth/register

Body

application/json

payoff_matrix_1 · number[][] · required

Payoff matrix for Player 1

Example:

[[3, 0], [5, 1]]

payoff_matrix_2 · number[][] · required

Payoff matrix for Player 2

Example:

[[3, 5], [0, 1]]

strategy_1 · number[] · required

Player 1's current mixed strategy

Required range: 0 <= x <= 1

Example:

[0.5, 0.5]

strategy_2 · number[] · required

Player 2's current mixed strategy

Required range: 0 <= x <= 1

Example:

[0.5, 0.5]

Response

200

application/json

Successful Response

success · boolean

Example:

true

data · object

Show child attributes