Results 81 to 90 of about 757 (200)

A simplicial algorithm approach to Nash equilibria in concave games

open access: yes, 2006
Haake C-J, Su FE. A simplicial algorithm approach to Nash equilibria in concave games. Working Papers. Institute of Mathematical Economics. Vol 382.
Claus-jochen Haake   +3 more
core  

A simplicial algorithm approach to Nash equilibria in concave games [PDF]

open access: yes
In this paper we demonstrate a new method for computing approximate Nash equilibria in n-person games. Strategy spaces are assumed to be represented by simplices, while payoff functions are assumed to be concave.
Claus-Jochen Haake, Francis Edward Su
core  

An algorithm for payoff space in C1-games

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2010
In this paper we present an algorithm implemented by MATLAB, and several examples completely realized by this algorithm, based on a method developed by one of the authors to determine the payoff-space of certain normal-form C1-games.
David Carfì, Angela Ricciardello
doaj   +1 more source

An impossibility theorem in game dynamics. [PDF]

open access: yesProc Natl Acad Sci U S A, 2023
Milionis J   +3 more
europepmc   +1 more source

Computing a proper equilibrium of a bimatrix game [PDF]

open access: yesProceedings of the 13th ACM Conference on Electronic Commerce, 2012
We provide the first pivoting-type algorithm that computes an exact proper equilibrium of a bimatrix game. This is achieved by using Lemke's algorithm to solve a linear complementarity problem (LCP) of polynomial size. This also proves that computing a simple refinement of proper equilibria for bimatrix game is PPAD-complete.
openaire   +1 more source

Constant rank bimatrix games are PPAD-hard [PDF]

open access: yesProceedings of the forty-sixth annual ACM symposium on Theory of computing, 2014
The rank of a bimatrix game (A,B) is defined as rank(A+B). Computing a Nash equilibrium (NE) of a rank-$0$, i.e., zero-sum game is equivalent to linear programming (von Neumann'28, Dantzig'51). In 2005, Kannan and Theobald gave an FPTAS for constant rank games, and asked if there exists a polynomial time algorithm to compute an exact NE.
openaire   +2 more sources

Centralised Decision Support in Maritime Vessel Traffic Services: A Polymatrix Game Solution

open access: yesIEEE Access
Given the increasing complexity of maritime traffic, particularly with the growing integration of autonomous vessels alongside conventional vessels, the need for enhanced coordination and decision support systems has become critical to ensure safety and ...
Luka Grgicevic   +4 more
doaj   +1 more source

A Taxonomy of Best-Reply Multifunctions in 2x2x2 Trimatrix Games

open access: yes
This paper provides an overview of the various shapes the best- reply multifunctions can take in 2×2×2 trimatrix games. It is shown that, unlike in 2×2 bimatrix games, the best replies to the opponents’ pure strategies do not completely determine the ...
Borm, P.E.M.   +3 more
core  

The Structure of the Set of Equilibria for Two Person Multicriteria Games

open access: yes
In this paper the structure of the set of equilibria for two person multicriteria games is analysed. It turns out that the classical result for the set of equilibria for bimatrix games, that it is a finite union of polytopes, is only valid for ...
Borm, P.E.M.   +2 more
core  

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