Results 41 to 50 of about 561,032 (197)

Acyclic-and-Asymmetric Payoff Triplet Refinement of Pure Strategy Efficient Nash Equilibria in Trimatrix Games by Maximinimin and Superoptimality

open access: yesНаукові вісті Національного технічного університету України "Київський політехнічний інститут", 2018
Background. A problem of selecting amongst efficient Nash equilibria is solved by refining them. The existing approaches to refining do not guarantee that the refined efficient Nash equilibrium will be single.
Vadim V. Romanuke
doaj   +1 more source

One class of Nash equilibria in bimatrix games

open access: yesLietuvos Matematikos Rinkinys, 2002
Active Nash equilibria existence in bimatrix game problem is reduced to the problem of nonexistence of special solutions of the systems (11) and (12).
Aneta Gracjana Blaževič   +1 more
doaj   +3 more sources

Characterization of the Equilibrium Strategy of Fuzzy Bimatrix Games Based on L-R Fuzzy Variables

open access: yesJournal of Applied Mathematics, 2012
This paper deals with bimatrix games in uncertainty environment based on several types of ordering, which Maeda proposed. But Maeda’s models was just made based on symmetrical triangle fuzzy variable.
Cun-lin Li
doaj   +1 more source

Pure Strategy Nash Equilibria Refinement in Bimatrix Games by Using Domination Efficiency along with Maximin and the Superoptimality Rule

open access: yesНаукові вісті Національного технічного університету України "Київський політехнічний інститут", 2018
Background. Multiple Nash equilibria bring a new problem of selecting amongst them but this problem is solved by refining the equilibria. However, none of the existing refinements can guarantee a single refined Nash equilibrium.
Vadim V. Romanuke
doaj   +1 more source

A Difference-Index Based Ranking Bilinear Programming Approach to Solving Bimatrix Games with Payoffs of Trapezoidal Intuitionistic Fuzzy Numbers

open access: yesJournal of Applied Mathematics, 2013
The aim of this paper is to develop a bilinear programming method for solving bimatrix games in which the payoffs are expressed with trapezoidal intuitionistic fuzzy numbers (TrIFNs), which are called TrIFN bimatrix games for short.
Deng-Feng Li, Jie Yang
doaj   +1 more source

Games of fixed rank: a hierarchy of bimatrix games [PDF]

open access: yesEconomic Theory, 2009
We propose a new hierarchical approach to understand the complexity of the open problem of computing a Nash equilibrium in a bimatrix game. Specifically, we investigate a hierarchy of bimatrix games $(A,B)$ which results from restricting the rank of the matrix $A+B$ to be of fixed rank at most $k$.
Ravi Kannan, Thorsten Theobald
openaire   +5 more sources

On ‘Informationally Robust Equilibria’ for Bimatrix Games [PDF]

open access: yesEconomic Theory, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Reijnierse, J.H.   +2 more
openaire   +6 more sources

Research of the problem of fair distribution of fishing quotas by the methods of game theory

open access: yesСовременная математика: Фундаментальные направления, 2023
Game theory emerged as a science in the second half of the 20th century. It managed to prove itself well in the analysis of economic situations involving several subjects of economic activity (players), whose interests are completely or partially ...
E. M. Bogatov, N. E. Bogatova
doaj   +1 more source

The empirical implications of rank in Bimatrix games [PDF]

open access: yesProceedings of the fourteenth ACM conference on Electronic commerce, 2013
We study the structural complexity of bimatrix games, formalized via rank, from an empirical perspective. We consider a setting where we have data on player behavior in diverse strategic situations, but where we do not observe the relevant payoff functions.
Siddharth Barman   +3 more
openaire   +4 more sources

The method of feasible directions in problems nonlinear programming for bimatrix games [PDF]

open access: yesКомпьютерные исследования и моделирование, 2012
The problem of the Nash equilibrium in bimatrix game is considered. The search for a solution is associated with a problem of nonlinear programming. Application of the method of feasible directions for the solution of such a problem is investigated.
Dariya Sergeevna Nabatova
doaj   +1 more source

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