TITLE

Properly efficient Nash equilibrium in multicriteria noncooperative games

AUTHOR(S)
Fahem, Karima; Radjef, Mohammed
PUB. DATE
October 2015
SOURCE
Mathematical Methods of Operations Research;Oct2015, Vol. 82 Issue 2, p175
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The aim of this paper is to study the concept of properly efficient equilibrium for a multicriteria noncooperative strategic game. Using results of multicriteria optimization programming, we give some characterizations and existence results of this concept in the considered game.
ACCESSION #
110318664

 

Related Articles

  • Existence and efficiency of a stationary subgame-perfect equilibrium in coalitional bargaining models with nonsuperadditive payoffs. Miyakawa, Toshiji // Economic Theory;May2009, Vol. 39 Issue 2, p291 

    We provide the existence theorem of stationary subgame-perfect equilibrium (SSPE) in a noncooperative coalitional bargaining game model with random proposers. Our model contains a bargaining situation where the coalitional game is nonsuperadditive. We also provide a necessary and sufficient...

  • Foundations for contest success functions. Corchón, Luis; Dahm, Matthias // Economic Theory;Apr2010, Vol. 43 Issue 1, p81 

    In the literature, the outcome of contests is either interpreted as win probabilities or as shares of the prize. With this in mind, we examine two approaches to contest success functions (CSFs). In the first, we analyze the implications of contestants’ incomplete information concerning...

  • Nash Equilibria in Noncooperative Predator-Prey Games. Ramos, Angel Manuel; Roubicek, Tomas // Applied Mathematics & Optimization;Sep2007, Vol. 56 Issue 2, p211 

    A noncooperative game governed by a distributed-parameter predator-prey system is considered, assuming that two players control initial conditions for predator and prey, respectively. Existence of a Nash equilibrium is shown under the condition that the desired population profiles and the...

  • Polymatrix games and optimization problems. Strekalovskii, A.; Enkhbat, R. // Automation & Remote Control;Apr2014, Vol. 75 Issue 4, p632 

    Consideration was given to the properties of the polymatrix game, a finite noncooperative game of N players ( N ⩾ 3). A theorem of reduction of the search for Nash equilibria to an optimization problem was proved. This clears the way to the numerical search of equilibria. Additionally, a...

  • Strategic behavior under partial cooperation. Chakrabarti, Subhadip; Gilles, Robert; Lazarova, Emiliya // Theory & Decision;Aug2011, Vol. 71 Issue 2, p175 

    We investigate how a group of players might cooperate with each other within the setting of a non-cooperative game. We pursue two notions of partial cooperative equilibria that follow a modification of Nash's best response rationality rather than a core-like approach. Partial cooperative Nash...

  • Continuously Essential Set of Nash Equilibria for n-person Noncooperative Games. Sun, Lei; Fan, Xiaodong // Information Technology Journal;2013, Vol. 12 Issue 3, p414 

    This study has established a new perturbed game of the n-person noncooperative game. A new definition of stable set of Nash equilibria is introduced in this way, which called continuously essential set. This study showed that there exists at least one continuously essential component of Nash...

  • Noncompact Equilibrium Points and Applications. Al-Rumaih, Zahra; Chebbi, Souhail; Hong Kun Xu // Journal of Applied Mathematics;2012, p1 

    We prove an equilibrium existence result for vector functions defined on noncompact domain and we give some applications in optimization and Nash equilibrium in noncooperative game.

  • Existence of extended Nash equilibriums of nonmonetized noncooperative games. Zhao, Chunxiang; Hong, Shihuang; Li, Chunhong // Fixed Point Theory & Applications;9/11/2015, Vol. 2015 Issue 1, p1 

    In this paper, we consider extended Nash equilibriums of nonmonetized noncooperative games. By using a modified fixed point theorem of set-valued mappings on partially ordered sets, we prove an existence theorem of extended Nash equilibriums of the nonmonetized noncooperative game. Finally, an...

  • A fixed point characterization of the dominance-solvability of lattice games with strategic substitutes. Zimper, Alexander // International Journal of Game Theory;2007, Vol. 36 Issue 1, p107 

    We demonstrate that a lattice game with strategic substitutes is dominance-solvable if and only if there exists a unique fixed point of the function that results from an iteration of the best response function. This finding complements a result of Milgrom and Roberts’ (Econometrica...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics