- Tytuł:
- Applications of saddle-point determinants
- Autorzy:
-
Hauke, Jan
Johnson, Charles
Ostrowski, Tadeusz - Powiązania:
- https://bibliotekanauki.pl/articles/729145.pdf
- Data publikacji:
- 2015
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
bimatrix game
Mean Value Theorem
optimal mixed strategies
saddle point matrix
value of a game
volumes of simplices - Opis:
-
For a given square matrix $A ∈ M_n({ℝ})$ and the vector $e ∈ (ℝ)^{n}$ of ones denote by (A,e) the matrix
⎡ A e ⎤
⎣ $e^{T}$ 0 ⎦
This is often called the saddle point matrix and it plays a significant role in several branches of mathematics. Here we show some applications of it in: game theory and analysis. An application of specific saddle point matrices that are hollow, symmetric, and nonnegative is likewise shown in geometry as a generalization of Heron's formula to give the volume of a general simplex, as well as a conditions for its existence. - Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2015, 35, 2; 213-220
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł