English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We present a possible kind of generalization of the notion of ordered pairsof cyclic maps and coupled fixed points and its application in modelling ofequilibrium in oligopoly markets. We have obtained sufficient conditions forthe existence and uniqueness of fixed (or best proximity) points in completemetric spaces (uniformly convex Banach spaces). We get an error estimates ofthe fixed (or best proximity), provided that we have used sequences ofsuccessive iterations. We illustrate one possible application of the results bybuilding a pragmatic model on competition in oligopoly markets. To achieve thisgoal, we use an approach based on studying the response functions of eachmarket participant, thus making it possible to address both Cournot andBertrand industrial structures with unified formal method. In contrast to therestrictive theoretical constructs of duopoly equilibrium, our study is able toaccount for real-world limitations like minimal sustainable production levelsand exclusive access to certain resources. We prove and demonstrate that byusing carefully constructed response functions it is possible to build andcalibrate a model that reflects different competitive strategies used inextremely concentrated markets. The response functions approach makes it alsopossible to take into consideration different barriers to entry. By fitting tothe response functions rather than the profit maximization of the payofffunctions problem we alter the classical optimization problem to a problem ofcoupled fixed points, which has the benefit that considering corner optimum,corner equilibria and convexity condition of the payoff function can beskipped.

Application of Coupled Fixed (or Best Proximity) Points in Market Equilibrium in Oligopoly Markets