A necessary and sufficient condition for convergence to equilibrium in Kolmogorov systems
نویسندگان
چکیده
منابع مشابه
Necessary and sufficient condition for hydrostatic equilibrium in general relativity
We present explicit examples to show that the ‘compatibility criterion’ [recently obtained by us towards providing equilibrium configurations compatible with the structure of general relativity] which states that: for a given value of σ[≡ (P0/E0) ≡ the ratio of central pressure to central energy-density], the compactness ratio u[≡ (M/R), whereM is the total mass andR is the radius of the config...
متن کاملA necessary and sufficient minimality condition for uncertain systems
A necessary and sufficient condition is given for the exact reduction of systems modeled by linear fractional transformations (LFT’s) on structured operator sets. This condition is based on the existence of a rank-deficient solution to either of a pair of linear matrix inequalities which generalize Lyapunov equations; the notion of Gramians is thus also generalized to uncertain systems, as well...
متن کاملA Necessary and Sufficient Condition for Transcendency
As has been known for many years (see, e.g., K. Mahler, /. Reine Angew. Math., v. 166, 1932, pp. 118-150), a real or complex number f is transcendental if and only if the following condition is satisfied. To every positive number co there exists a positive integer n and an infinite sequence of distinct polynomials {p,(z)} = {pr + pr z + • • • + p z } at most of 0 1 n degree n with integral coef...
متن کاملA Necessary and Sufficient Condition for Peace∗
This paper examines the possibility for two contestants to agree on a peace settlement thereby avoiding a contest, in which each would exert a costly effort given the posterior distributions inferred from the negotiation. I find a necessary and sufficient condition of the prior distributions for there to exist a negotiation mechanism that admits a peace-ensuring perfect Bayesian equilibrium. Th...
متن کاملA Necessary and sufficient Condition for convergence of Statistical to Strategic Equilibria of Market Games
We analyze a market game where traders are heterogeneous with respect to their rationality level and have asymmetric information. The market mechanism results into a statistical equilibrium, where traders randomise among their available actions due to their limited rationality. We provide a necessary and sufficient condition for convergence of statistical to strategic equilibria of market games...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1991
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.529083