The equilibria of strategic games with many semi-anonymous players have a strong ex-post Nash property. Even with perfect hindsight about the realized types and selected actions of all his opponents, no player has an incentive to revise his own chosen action. This is illustrated for normal form and for one shot Baysian games with statistically independent types, provided that a certain continui...

We prove that if {φt}t≥0 is a CP-semigroup acting on a von Neumann algebra M ⊆ B(H), then for every A ∈ M and ξ ∈ H , the map t 7→ φt(A)ξ is norm-continuous. We discuss the implications of this fact to the existence of dilations of CPsemigroups to semigroups of endomorphisms.

This paper studies the extensions of the infinte-horizon variants of the leximin principle and utilitarianism on the set of infinite utility streams. We especially examine those extensions which satisfy the axiom of Preference-continuity (or Consistency) and the extended anonymity axiom called Q-Anonymity. We formulate new extended leximin and utilitarian social welfare relations (SWRs), called...

BACKGROUND Continuity of care can bring a wide range of benefits to consumers, providers and health care systems. This study aimed to understand the relationship preferences of primary care patients and their associations with patient experience of continuity of care. METHODS A questionnaire survey was conducted on 700 patients who sought medical care from a community health organisation in B...

Let \({\mathcal {S}} = \{ \tau _n \}_{n=1}^\infty \subset (0,T)\) be an arbitrary countable (dense) set. We show that for any given initial density and momentum, the compressible Euler system admits (infinitely many) admissible weak solutions are not strongly continuous at each \(\tau _n\), \(n=1,2,\dots \). The proof is based on a refined version of oscillatory lemma De Lellis Székelyhidi with...