We analyze the data of a questionnaire which students filled out after participating in a principal-agent experiment featuring a single principal and two agents. Each agent’s choice of (costly) effort determines a return that is split between principal and the respective agent according a payment rule which the parties have agreed upon previously. Güth et al. (2001) show that the observed distr...

In Euclidean geometry we find three types of special conics, which are distinguished with respect to the Euclidean similarity group: circles, parabolas, and equilateral hyperbolas. They have on one hand special elementary geometric properties (c.f. [7]) and on the other they are strongly connected to the “absolute elliptic involution” in the ideal line of the projectively enclosed Euclidean pla...

In [17] the author and A. Vershik have shown that for β = 1 2 (1 + √ 5) and the alphabet {0, 1} the infinite Bernoulli convolution (= the Erdös measure) has a property similar to the Lebesgue measure. Namely, it is quasi-invariant of type II1 under the β-shift, and the natural extension of the β-shift provided with the measure equivalent to the Erdös measure, is Bernoulli. In this note we exten...

We prove Cameron-Martin type quasi-invariance results for the heat kernel measure of infinite-dimensional Kolmogorov and related diffusions. first study quantitative functional inequalities appropriate finite-dimensional approximations these diffusions, we hold with dimension-independent coefficients. Applying an approach developed by Baudoin, Driver, Gordina, Melcher previously, uniform bounds...

In this paper, we study dynamics of maps on quasi-graphs characterizing their invariant measures. particular, prove that every measure quasi-graph map with zero topological entropy has discrete spectrum. Additionally, obtain an analog Llibre-Misiurewicz's result relating positive existence horseshoes. We also dendrites and show if a continuous dendrite, whose set all endpoints is closed only fi...

in this paper, we prove some coupled coincidence point theorems for mappings satisfying generalized contractive conditions under a new invariant set in ordered cone metric spaces. in fact, we obtain sufficient conditions for existence of coupled coincidence points in the setting of cone metric spaces. some examples are provided to verify the effectiveness and applicability of our results.

The problem of stabilization of linear time-invariant systems under general decentralized feedback schemes is considered in this paper. A novel approach to the problem is advised, in which the interactions between the strongly connected subsystems of a system are treated as disturbances. A necessary and su cient condition for the existence of a decentralized controller which stabilizes a given ...

The Kolmogorov-Sinai entropy is a far reaching dynamical generalization of Shannon entropy of information systems. This entropy works perfectly for probability measure preserving (p.m.p.) transformations. However, it is not useful when there is no finite invariant measure. There are certain successful extensions of the notion of entropy to infinite measure spaces, or transformations with ...