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GameTheory : Table of Contents
GameTheory
-- a package for computing equilibria in game theory
assemblePlayeriPolynomials
-- get all incentive constraint polynomials for a player
assemblePolynomial
-- compute incentive constraint polynomial for deviation
blockDerangements(List)
-- compute the block derangements
ciIdeal
-- the ideal of a list of conditional independence statements
correlatedEquilibria
-- compute the correlated equilibrium polytope for a game
deltaList(List)
-- generate the list of Newton polytopes for a generic game
enumerateTensorIndices
-- generate index tuples for a tensor with given dimensions
getVariableToIndexset
-- retrieve a polynomial ring variable by its index tuple
indexset
-- get the list of index tuples of a tensor
intersectWithCImodel
-- ideal of the intersection of a given variety with the conditional independence model
konstanzMatrix
-- construct the Konstanz matrix of a given game
KonstanzVariableName
(missing documentation)
mapToMarkovRing
-- ring isomorphism from the given probabilityRing to the corresponding markovRing
mapToProbabilityRing
-- ring isomorphism to the given probabilityRing from the corresponding markovRing
nashEquilibriumIdeal(Ring,List)
-- make the Nash Equilibrium ideal
nashEquilibriumRing(List)
-- define the Nash Equilibrium ring
numberTMNE(List)
-- compute the maximum number of totally mixed Nash equilibria for a generic game
probabilityRing
-- ring of probability distributions of a game indexed by ordered multi-indices
probabilitySumIdeal
-- ideal enforcing that a probability distribution sums to 1
ProbabilityVariableName
(missing documentation)
randomGame
-- construct a game of a given format with arbitrary payoffs
randomTensor
-- construct a tensor with random entries from a given ring
slice
-- extract a slice of a tensor
spohnCI
-- ideal of the Spohn conditional independence (CI) variety
spohnIdeal
-- compute the ideal of the Spohn variety of a given game
spohnMatrices
-- compute the list of Spohn matrices of a given game
Tensor
-- a mutable hash table representing a tensor
toMarkovRing
-- ring of joint probability distributions created with the markovRing function from the GraphicalModels package
zeroTensor
-- construct a tensor with zero entries from a given ring.