Die Sterblichkeitsverhältnisse der deutschen Invalidenrentenempfänger
Die ungarische Volkssterblichkeit auf Grund der Volkszählung von 1930
Die Zufallsverträge in der Wahrscheinlichkeitsrechnung. I
Die Zufallsverträge in der Wahrscheinlichkeitsrechnung. II
Different approaches to weighted voting systems based on preferential positions
Voting systems produce an aggregated result of the individual preferences of the voters. In many cases the aggregated collective preference – the result of the voting procedure – mirrors much more than anything else the characteristics of the voting systems. Preferential voting systems work most of the time with equidistant differences between the adjacent preferences of an individual voter. They produce, as voting systems usually do, some paradoxical results under special circumstances. However,...
Differential Games and Nonlinear First Order PDE on Bounded Domains.
Diffusion approximations of the geometric Markov renewal processes and option price formulas.
Discontinuity, decision and conflict.
The motivation for this paper arises out of the authors experiences in modelling real decision makers where the decisions show not only a continuous response to a continuously changing environment but also sudden or discontinuous changes. The theoretical basis involves a parametric characterisation of the environment, a decision makers perception of it in terms of a twice differentiable Distribution Function and a bounded Loss Function. Under a specified minimizing dynamic, the resultant Expected...
Discrepancy games.
Discrete analysis of portfolio selection with optimal stopping time.
Discrete and nondiscrete duels
Discrete bidding games.
Discrete dynamics in transitional economies.
Discrete Lundberg-type bounds with actuarial applications
Different kinds of renewal equations repeatedly arise in connection with renewal risk models and variations. It is often appropriate to utilize bounds instead of the general solution to the renewal equation due to the inherent complexity. For this reason, as a first approach to construction of bounds we employ a general Lundberg-type methodology. Second, we focus specifically on exponential bounds which have the advantageous feature of being closely connected to the asymptotic behavior (for large...
Discrete small world networks.
Discrete stochastic dynamics of income inequality in education: An applied stochastic model and a case study.
Discrete stochastic processes, replicator and Fokker-Planck equations of coevolutionary dynamics in finite and infinite populations
Finite-size fluctuations in coevolutionary dynamics arise in models of biological as well as of social and economic systems. This brief tutorial review surveys a systematic approach starting from a stochastic process discrete both in time and state. The limit N → ∞ of an infinite population can be considered explicitly, generally leading to a replicator-type equation in zero order, and to a Fokker-Planck-type equation in first order in 1/√N. Consequences and relations to some previous approaches...
Discrete time arbitrage under transaction costs
Conditions for the absence of arbitrage in discrete time markets with various kinds of transaction costs are shown.
Discrete time infinite horizon risk sensitive portfolio selection with proportional transaction costs
Long run risk sensitive portfolio selection is considered with proportional transaction costs. In the paper two methods to prove existence of solutions to suitable Bellman equations are presented. The first method is based on discounted cost approximation and requires uniform absolute continuity of iterations of transition operators of the factor process. The second method is based on uniform ergodicity of portions of the capital invested in assets and requires additional assumptions concerning...
Discrete time risk sensitive portfolio optimization with consumption and proportional transaction costs
Risk sensitive and risk neutral long run portfolio problems with consumption and proportional transaction costs are studied. Existence of solutions to suitable Bellman equations is shown. The asymptotics of the risk sensitive cost when the risk factor converges to 0 is then considered. It turns out that optimal strategies are stationary functions of the portfolio (portions of the wealth invested in assets) and of economic factors. Furthermore an optimal portfolio strategy for a risk neutral control...