Verify Nash Equilibrium

Check whether a given strategy profile (possibly mixed) is a Nash equilibrium. A strategy profile is a Nash equilibrium if no player can improve their expected payoff by unilaterally deviating. Also returns the expected payoffs for both players. Use to verify candidate equilibria or validate algorithmic solutions. [Tier: STANDARD, Credits: 2]

POST /quantlib/economics/games/nash-check

Verify Nash Equilibrium

cURL

curl --request POST \
  --url https://api.fincept.in/quantlib/economics/games/nash-check \
  --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,
    1
  ],
  "strategy_2": [
    0,
    1
  ]
}
'

200

{
  "success": true,
  "data": {
    "is_nash_equilibrium": true,
    "payoff": [
      1,
      1
    ]
  }
}

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

Mixed strategy for Player 1 (probability distribution over strategies, must sum to 1)

Required range: 0 <= x <= 1

Example:

[0, 1]

strategy_2 · number[] · required

Mixed strategy for Player 2 (probability distribution over strategies, must sum to 1)

Required range: 0 <= x <= 1

Example:

[0, 1]

Response

200

application/json

Successful Response

success · boolean

Example:

true

data · object

Show child attributes