Note on consistency ratio

A note on Robinson consistency lemma

Since A. Robinson’s work, this result has been shown valid for a large class of logic and recently has received generalizations in institutions [8]. One of the main reason why a logic should have RCP is because of “modular theory building”. Indeed, RCP has been shown to be equivalent to Craig’s interpolation property (CIP), and CIP is strongly connected to modularity in specification theory [2,...

Note on the Consistency of Sieve Estimators

In this note the consistency of sieve estimators is derived without requiring compactness of the entire parameter space, and allowing the expected objective function to take infinite values.

A note on equivalence of consistency and bilateral consistency through converse consistency

In the framework of (set-valued or single-valued) solutions for coalitional games with transferable utility, the three notions of consistency, bilateral consistency, and converse consistency are frequently used to provide axiomatic characterizations of a particular solution (like the core, prekernel, prenucleolus, Shapley value, and EANSC-value). Our main equivalence theorem claims that a solut...

Sharpe Ratio Practice Note

A Note on Incompleteness, Transitivity and Suzumura Consistency

Rationality does not require of preferences that they be complete. Nor therefore that they be transitive: Suzumura consistency suffi ces. This paper examines the implications of these claims for the theory of rational choice. I propose a new choice rule Strong Maximality and argue that it better captures rational preference-based choice than other more familiar rules. Suzumura consistency of pr...