On weighted synthesis of judgements.
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J. Aczél (1984)
Aequationes mathematicae
J. Aczél (1984)
Aequationes mathematicae
Lam Quoc Anh, Dinh Vinh Hien (2016)
Applications of Mathematics
In this paper we consider weak and strong quasiequilibrium problems with moving cones in Hausdorff topological vector spaces. Sufficient conditions for well-posedness of these problems are established under relaxed continuity assumptions. All kinds of well-posedness are studied: (generalized) Hadamard well-posedness, (unique) well-posedness under perturbations. Many examples are provided to illustrate the essentialness of the imposed assumptions. As applications of the main results, sufficient conditions...
Barát, János, Stojaković, Miloš (2010)
The Electronic Journal of Combinatorics [electronic only]
Heinz-Uwe Kuenle (1985)
Banach Center Publications
László Zsilinszky (2011)
Colloquium Mathematicae
In the main result, partially answering a question of Telgársky, the following is proven: if X is a first countable R₀-space, then player β (i.e. the EMPTY player) has a winning strategy in the strong Choquet game on X if and only if X contains a nonempty -subspace which is of the first category in itself.
Holshouser, Arthur, Reiter, Harold (2003)
The Electronic Journal of Combinatorics [electronic only]
Kelly, Annela R. (2006)
International Journal of Mathematics and Mathematical Sciences
Tetsuzo Tanino (2013)
Kybernetika
In this paper we focus on one-point (point-valued) solutions for transferable utility games (TU-games). Since each allocated profit vector is identified with an additive game, a solution can be regarded as a mapping which associates an additive game with each TU-game. Recently Kultti and Salonen proposed a minimum norm problem to find the best approximation in the set of efficient additive games for a given TU-game. They proved some interesting properties of the obtained solution. However, they...
Grytczuk, J.A., Hałuszczak, M., Kierstead, H.A. (2004)
The Electronic Journal of Combinatorics [electronic only]
Milan Mareš (2006)
Banach Center Publications
Vagueness is one of the phenomena which cannot be separated from the real bargaining and cooperative situations. The aim of this paper is to offer a brief survey of the recent state-of-art of the modelling of vagueness in coalitional games with transferable utility. It may be recognized in two components of these games, namely, in vague structure of coalitions where each player may simultaneously participate in several of them, and in vague expectations of coalitional pay-offs. Both these cases...
Jaroslav Doležal (1976)
Banach Center Publications
Vítězslav Novák (1984)
Archivum Mathematicum
Jewan, Diresh, Guo, Renkuan, Witten, Gareth (2009)
Journal of Applied Mathematics and Decision Sciences
Stig Larsson, Carl Lindberg, Marcus Warfheimer (2013)
Applications of Mathematics
A pair trade is a portfolio consisting of a long position in one asset and a short position in another, and it is a widely used investment strategy in the financial industry. Recently, Ekström, Lindberg, and Tysk studied the problem of optimally closing a pair trading strategy when the difference of the two assets is modelled by an Ornstein-Uhlenbeck process. In the present work the model is generalized to also include jumps. More precisely, we assume that the difference between the assets is an...
Cvitanić, Jakša, Wan, Xuhu, Zhang, Jianfeng (2006)
Journal of Applied Mathematics and Stochastic Analysis
H. J. Girlich (1985)
Banach Center Publications
Yabuta, Masahiro (2002)
Discrete Dynamics in Nature and Society
Łukasz Delong (2005)
Applicationes Mathematicae
The aim of this paper is to construct an optimal investment strategy for a non-life insurance business. We consider an insurance company which provides, in exchange for a single premium, full coverage to a portfolio of risks which generates losses according to a compound Poisson process. The insurer invests the premium and trades continuously on the financial market which consists of one risk-free asset and n risky assets (Black-Scholes market). We deal with the insurer's wealth path dependent disutility...
Miklós Rásonyi, José G. Rodríguez-Villarreal (2015)
Banach Center Publications
We consider a discrete-time, generically incomplete market model and a behavioural investor with power-like utility and distortion functions. The existence of optimal strategies in this setting has been shown in Carassus-Rásonyi (2015) under certain conditions on the parameters of these power functions. In the present paper we prove the existence of optimal strategies under a different set of conditions on the parameters, identical to the ones in Rásonyi-Rodrigues (2013), which...