Computing simply stable equilibria

Article Abstract:

A study was done to analyze Nash equilibria in simple stability conditions. The study employs a smaller neighborhood variant and thus, a weaker refinement of equilibrium. The refinement allows for an elementary procedure computation of a simply-stable equilibria set involving a two-player game. A linear-programming algorithm is used for each game. Equilibriums for certain games affect individual strategy probabilities or payoffs.

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Sunspot fluctuations around a steady state: the case of multidimensional, one-step forward looking economic models

Article Abstract:

A study was done to examine the presence of stationary sunspot equilibria (SSE) given a steady state in an economic dynamical system of dimension n. Indeterminate steady states, or a continuum of perfect foresight paths converging to the steady state present finite order SSE in any part of the state. Bifurcation theory identifies characteristics of random processes involving the SSE.

Rational expectations (Economics)

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Every stable set contains a fully stable set

Article Abstract:

A study was conducted to show that every stable set, as defined in 1989 by Mertens, contains a fully stable set as defined by Hillas in 1990. The principle that a fully stable set is contained in every stable set supports the backward induction property of stable equilibria. Illustrative mathematical examples are presented.

Game theory

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