TITLE

Equilibria of the Games in Choice Form

AUTHOR(S)
Stefanescu, Anton; Ferrara, Massimiliano; Stefanescu, Maria
PUB. DATE
December 2012
SOURCE
Journal of Optimization Theory & Applications;Dec2012, Vol. 155 Issue 3, p1060
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Equilibrium in choice is a solution-concept for noncooperative games defined in a general framework-the game in choice form. There are two leading ideas of the new definition. One is that the players' preferences need not be explicitly represented, but earlier accepted solution concepts should be formally derived as particular cases. Secondly, the choice of a player need not be a best reply to the strategy combination of the others, if the choices of the other players are motivated for themselves and a best reply does not exist. It is shown that in the present framework are included classical models of game theory, and the new concept extends various known noncooperative solutions. The main technical results of the paper concern the existence of the equilibrium in choice. As particular cases, known results on the existence of classical solutions are found. Thus, our approach can be also seen as a general method for proving the existence of different solutions for noncooperative games.
ACCESSION #
83634609

 

Related Articles

  • Perfect foresight dynamics in games with linear incentives and time symmetry. Takahashi, Satoru // International Journal of Game Theory;2008, Vol. 37 Issue 1, p15 

    This paper investigates absorption and global accessibility under perfect foresight dynamics in games with linear incentives. An action distribution in the society is absorbing if there is no equilibrium path escaping from the distribution, and globally accessible if, from every initial...

  • Efficiency in the trust game: an experimental study of precommitment. Bracht, Juergen; Feltovich, Nick // International Journal of Game Theory;2008, Vol. 37 Issue 1, p39 

    We experimentally test a precommitment mechanism for the trust game. Before the investor’s decision, the allocator places an amount into escrow, to be forfeited if he keeps the proceeds of investment for himself. We vary the available escrow amounts—in particular, whether there is...

  • Nondominated equilibrium solutions of a multiobjective two-person nonzero-sum game in extensive form and corresponding mathematical programming problem. Ichiro Nishizaki; Takuma Notsu // Journal of Global Optimization;Oct2008, Vol. 42 Issue 2, p201 

    Abstract  In most of studies on multiobjective noncooperative games, games are represented in normal form and a solution concept of Pareto equilibrium solutions which is an extension of Nash equilibrium solutions has been focused on. However, for analyzing economic situations and modeling...

  • Research on combinatorial auction. Liu Xin-ming // Proceedings of the International Symposium on Electronic Commerc;Jun2010, p288 

    Since the mid-20th century, with the Nash equilibrium theory formulation and development, game theory has gradually become a new subject. It involves economics, management, computer science, sociology and other fields, which has played a significant role in promoting the development of society....

  • The gamma-core and coalition formation. Chander, Parkash // International Journal of Game Theory;2007, Vol. 35 Issue 4, p539 

    This paper reinterprets the γ-core (Chander and Tulkens in Int Tax Pub Financ 2:279–293, 1995; in Int J Game Theory 26:379–401, 1997) and justifies it as well as its prediction that the efficient coalition structure is stable in terms of the coalition formation theory. 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...

  • An application of optimization theory to the study of equilibria for games: a survey. Mallozzi, Lina // Central European Journal of Operations Research;Sep2013, Vol. 21 Issue 3, p523 

    This contribution is a survey about potential games and their applications. In a potential game the information that is sufficient to determine Nash equilibria can be summarized in a single function on the strategy space: the potential function. We show that the potential function enable the...

  • Potential Games Are Necessary to Ensure Pure Nash Equilibria in Cost Sharing Games. Gopalakrishnan, Ragavendran; Marden, Jason R.; Wierman, Adam // Mathematics of Operations Research;Nov2014, Vol. 39 Issue 4, p1252 

    We consider the problem of designing distribution rules to share "welfare" (cost or revenue) among individually strategic agents. There are many known distribution rules that guarantee the existence of a (pure) Nash equilibrium in this setting, e.g., the Shapley value and its weighted variants;...

  • Order-Driven Markets are Almost Competitive. RITZBERGER, KLAUS // Review of Economic Studies;Jan2016, Vol. 83 Issue 1, p338 

    This article studies a market game under uncertainty in which agents may submit multiple limit and market orders. When agents know their preferences at all states, the competitive equilibrium can be supported as a Nash equilibrium of the market game, that is, agents behave as if they were price...

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