Skip to content
Research Article Open access CC BY 3.0

Generalized Nash Equilibria of Nonmonetized Noncooperative Games on Lattices

Jinlu Li, Sehie Park

Journal of Economics, Management and Trade · pp. 97–110 · Published 5 Oct 2013

10.9734/BJEMT/2014/4618

Abstract

In this paper, we examine noncooperative games with both of the collection of strategies and the ranges of the utilities for the players are lattices, which are said to be nonmonetized. Then we extend the concept of Nash equilibria of noncooperative games to generalized Nash equilibria of nonmonetized noncooperative games.  By applying some fixed point theorems in posets and by using the order preserving property of mappings, we prove an existence theorem of generalized Nash equilibria for nonmonetized noncooperative games. 

Lattice; Banach lattice nonmonetized noncooperative game generalized Nash equilibrium

Cited by 3

Order-Preservation Properties of Solution Mapping for Parametric Equilibrium Problems and Their Applications

Yuehu Wang, Baoqing Liu · Journal of Optimization Theory and Applications · 2019

Existence of extended Nash equilibriums of nonmonetized noncooperative games

Chunxiang Zhao, Shihuang Hong, Chunhong Li · Fixed Point Theory and Applications · 2015

Article metrics

Real usage data collected on this platform.

0

Page views

0

PDF downloads

0

Outbound clicks

3

Citations

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

No views recorded yet.

Traffic sources

Referring site, by host.

No traffic recorded yet.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.