Cones of cooperation, Perron-Frobenius theory and the indefinitely repeated prisoners' dilemma

Article Abstract:

Prisoners' dilemma games are in constant repetition without limit when time-dependent continuation probability is brought in. This result has been obtained using the linear operator procedure which takes advantage of the geometry of the array of sub-game associated equilibria. Moreover, cooperation in the repeated games are measured through cones of cooperation which have proven that when the probability of continuation increases, more cooperation can be obtained.

Analysis, Game theory, Cooperation (Economics), Cooperation, Prisoner's dilemma game

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Duality theory with a non-linear constraint

Article Abstract:

A duality theorem has been developed to express the relationship of increasing upper semicontinuous utility functions with upper semicontinuous indirect utility functions and continuous expenditure. Attention was focused on the non-convex and non-linear nature of the constraints. The theorem was tested to prove the global and local integrability theorems for non-linearly constrained economic behavior.

Research, Duality theory (Mathematics), Utility theory, Utility functions

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Coherent beliefs are not always types

Article Abstract:

Two interacting hold coherent beliefs about a space S of nature states. A hierarchy of beliefs is constructed, and a transfinite process is used to extract a universal space T* from a space C of coherent hierarchies.

Israel, Bayesian statistical decision theory, Bayesian analysis, Coherent states

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