I introduce and study dynamic persuasion mechanisms. A principal privately observes the evolution of a stochastic process and sends messages over time to an agent. The agent takes actions in each period based on her beliefs about the state of the process and the principal wishes to influence the agent’s action. I characterize the optimal persuasion mechanism and apply it to some examples.

August 2001 57 onal, nor equally applicable to every system, the classification axes we present do form a reasonable approach to characterizing or evaluating location systems. The Global Positioning System is perhaps the most widely publicized location-sensing system. GPS provides an excellent lateration framework for determining geographic positions. The worldwide satellite constellation has r...

We consider the minimal number of solutions to (n) = (n + k) for xed values of k. Previous work of A. Schinzel concerning this problem is described, as is the outcome of recent computational searches conducted to extend Schinzel's results. Let k be a xed positive integer. In this note, we consider the minimum number of solutions to the equation (n) = (n + k); (1) where n is a positive integer a...

Reported proportionsofcreatine kinase (CK; EC 2.7.3.2) MB isoenzyme (CK-MB) in skeletal muscles range from 0 to 28% (1-6). Recent observations of increased activities of CKMB in marathon runners have renewed the interest in studying the proportions of CK isoenzymes in skeletal muscle (7-9). Because previous studieswere limited to a few locations and a few types of muscles, we have carried out a...

P. Erdős and D. Silverman [EG-80] proposed the problem of determining the maximal density attainable by a set S of positive integers having the property that no two distinct elements of S sum up to a perfect square. J. P. Massias exhibited such a set consisting of all x ≡ 1 (mod 4) with x ≡ 14, 26, 30 (mod 32) in [M]. In [LOS-82], J. C. Lagarias, A. M. Odylzko and J. B. Shearer showed that for ...

M. Quarantelli, O. Palladino, A. Prinster, V. Schiavone, B. Carotenuto, A. Brunetti, G. Ventrella, A. Marsili, A. De Bartolomeis, and M. Salvatore Biostructure and Bioimaging Institute, National Research Council, Naples, Italy, Institute of Psychiatry, University “Federico II”, Naples, Italy, 3 “S.D.N.” Foundation, Naples, Italy, Department of Biomorphological and Functional Sciences, Universit...

Lagarias showed that the shift dynamical system S on the set Z2 of 2-adic integers is conjugate to the famous 3x + 1 map T under a conjugacy Φ . Thus for each continuous endomorphism f∞ of S there is a corresponding endomorphism Hf = Φ ◦ f∞ ◦ Φ−1 of T and a map Ψf from the coimage of Hf to itself defined by Ψf ([x]) = [T (x)]. In this paper, we completely classify all continuous endomorphisms f...