Correspondence: Response

Cappuccio response to correspondence.

Refined best-response correspondence and dynamics

We study a natural (and, in a well-defined sense, minimal) refinement of the best-reply correspondence. Its fixed points, notions of rationalizability and CURB sets based on this correspondence are defined and characterized. Finally minimally asymptotically stable faces under the induced refined best-reply dynamics are characterized.

Quantum-classical correspondence in response theory.

The correspondence principle between the quantum commutator [A, B] and the classical Poisson brackets iota h{A, B} is examined in the context of response theory. The classical response function is obtained as the leading term of the expansion of the phase space representation of the response function in terms of Weyl-Wigner transformations and is shown to increase without bound at long times as...

The refined best-response correspondence in normal form games

This paper provides an in-depth study of the (most) refined best-reply correspondence introduced by Balkenborg, Hofbauer, and Kuzmics (2009a). We study notions of strict and weak dominance most appropriate to it, its fixed points, and rationalizability based on it, and how these concepts are related to well-known concepts such as, among others, Selten’s (1975) trembling-hand perfection, Kalai a...

The refined best-response correspondence and backward induction

Fixed points of the (most) refined best-reply correspondence, introduced in Balkenborg, Hofbauer, and Kuzmics (2009), in the agent normal form of extensive form games have a remarkable, one might call subgame consistency property. They automatically induce fixed points of the same correspondence in the agent normal form of every subgame. Furthermore, in a well-defined sense fixed points of this...