On the optimal strategy in a random game.
On the optimal target of a macroeconomic growth model.
On the order-completion of additive conjoint structures.
On the periodicity of genus sequences of quaternary games.
On the possibilities of fuzzification of the solution in fuzzy cooperative games.
Some possibilities of fuzzification of the von Neumann-Morgenstern solution of cooperative games with transferable utility (TU games) are briefly investigated. The fuzzification based on the transformation of individual fuzzy TU game into a fuzzy class of (deterministic) TU games with their own specific solutions is discussed.
On the probability of reaching a barrier in an Erlang(2) risk process.
In this paper the process of aggregated claims in a non-life insurance portfolio as defined in the classical model of risk theory is modified. The Compound Poisson process is replaced with a more general renewal risk process with interocurrence times of Erlangian type. We focus our analysis on the probability that the process of surplus reaches a certain level before ruin occurs, χ(u,b). Our main contribution is the generalization obtained in the computation of χ(u,b) for the case of interocurrence...
On the problem in max algebra: every system of intervals is a spectrum
We consider the two-sided eigenproblem over max algebra. It is shown that any finite system of real intervals and points can be represented as spectrum of this eigenproblem.
On the Properties of Linear Programming models for National Planning
On the relation between two generalized cases of Thurstone's law of comparative judgment
On the risk-adjusted pricing-methodology-based valuation of vanilla options and explanation of the volatility smile.
On the singular limit of solutions to the Cox-Ingersoll-Ross interest rate model with stochastic volatility
In this paper we are interested in term structure models for pricing zero coupon bonds under rapidly oscillating stochastic volatility. We analyze solutions to the generalized Cox–Ingersoll–Ross two factors model describing clustering of interest rate volatilities. The main goal is to derive an asymptotic expansion of the bond price with respect to a singular parameter representing the fast scale for the stochastic volatility process. We derive the second order asymptotic expansion of a solution...
On the statistical properties of ergodic economic systems.
On the structure of Nash equilibrium sets in partially convex games.
On the structure of the core of balanced games
The uniform competitive solutions (u.c.s.) are basically stable sets of proposals involving several coalitions which are not necessarily disjoint. In the general framework of NTU games, the uniform competitive solutions have been defined in two earlier papers of the author (Stefanescu [5]) and Stefanescu [6]). The general existence results cover most situations formalized in the framework of the cooperative game theory, including those when the coalitional function is allowed to have empty values....
On the structure of the solution of the allocation problem
On the symmetry axiom for values of nonatomic games.
On the Uniqueness of Scales Derived from Canonical Representations
On the use of the art of conjecture in juridical matters: what about (political) economics? (De usu artis conjectandi in jure: quid de oeconomia (politica)?)
On the von Neumann problem and the approximate controllability of Stackelberg-Nash strategies for some environmental problems.
Two problems arising in Environment are considered. The first one concerns a conjecture posed by von Neumann in 1955 on the possible modification of the albedo in order to control the Earth surface temperature. The second one is related to the approximate controllability of Stackelberg-Nash strategies for some optimization problems as, for instance, the pollution control in a lake. The results of the second part were obtained in collaboration with Jacques-Lois Lions.
On three-rowed chomp.