A formulation of combinatorial auction via reverse convex programming.
A further application of matrix analysis to communication structure in oceanic anthropology
A fuzzy approach to option pricing in a Levy process setting
In this paper the problem of European option valuation in a Levy process setting is analysed. In our model the underlying asset follows a geometric Levy process. The jump part of the log-price process, which is a linear combination of Poisson processes, describes upward and downward jumps in price. The proposed pricing method is based on stochastic analysis and the theory of fuzzy sets. We assume that some parameters of the financial instrument cannot be precisely described and therefore they are...
A fuzzy pay-off method for real option valuation.
A game interpretation of the Neumann problem for fully nonlinear parabolic and elliptic equations
We provide a deterministic-control-based interpretation for a broad class of fully nonlinear parabolic and elliptic PDEs with continuous Neumann boundary conditions in a smooth domain. We construct families of two-person games depending on a small parameter ε which extend those proposed by Kohn and Serfaty [21]. These new games treat a Neumann boundary condition by introducing some specific rules near the boundary. We show that the value function converges, in the viscosity sense, to the solution...
A game model referring to the control of independent discrete time stochastic processes
A game of composing binary relations
A game of fair division in the normal form
A game of fair division with continuum of players
A game of timing with k noisy and n silent actions versus one noisy action
A game theoretical analysis of the quantity discount problem with perfect and incomplete information about the buyer's cost structure
A Game Theoretical Approach to The Algebraic Counterpart of The Wagner Hierarchy : Part II
The algebraic counterpart of the Wagner hierarchy consists of a well-founded and decidable classification of finite pointed ω-semigroups of width 2 and height ωω. This paper completes the description of this algebraic hierarchy. We first give a purely algebraic decidability procedure of this partial ordering by introducing a graph representation of finite pointed ω-semigroups allowing to compute their precise Wagner degrees. The Wagner degree of any ω-rational language can therefore be computed...
A game theoretical approach to the algebraic counterpart of the Wagner hierarchy : Part I
The algebraic study of formal languages shows that ω-rational sets correspond precisely to the ω-languages recognizable by finite ω-semigroups. Within this framework, we provide a construction of the algebraic counterpart of the Wagner hierarchy. We adopt a hierarchical game approach, by translating the Wadge theory from the ω-rational language to the ω-semigroup context. More precisely, we first show that the Wagner degree is indeed a syntactic invariant. We then define a reduction relation on...
A game-theoretic model of social adaptation in an infinite population
The paper deals with the question of existence and properties of equilibrated distributions of individual characteristics in an infinite population. General game-theoretic methods are applied and special attention is focused on the case of fitness functions depending only on the distance of an individual characteristic from a reference point and from the mean characteristics. Iterative procedures leading to equilibrated distributions are also considered.
A game-theoretical model of competition for staff between two departments
The main purpose of this paper is to analyze a development of a scenario suggested by Baston and Garnaev (2005) for modelling the situation where two departments in a large organization are each seeking to make an appointment within the same area of expertise, for instance, a computer science specialist. The departments are interested in three skills of the candidate (say, writing code, communication and in algorithms). In our scenario Department 1 wants to employ a candidate with excellent skills...
A general version of the fundamental theorem of asset pricing.
A generalized Amman's fixed point theorem and its application to Nash equlibrium.
A generalized Markov decision process
A geometrical description of visual perception
A geometrical description of visual sensation