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We provide a computational framework in which market shares can be computed at equilibrium, too. We analyze market share dynamics for an asymmetrical numerical scenario where one of the two firms is more effective in generic and predatory advertising. Several numerical insights on market share dynamics are obtained. Our computational framework allows for different scenarios in practical applications and it is developed, thanks to Mathematica software. <\/jats:p>","DOI":"10.1142\/s0219198919400073","type":"journal-article","created":{"date-parts":[[2019,3,14]],"date-time":"2019-03-14T06:55:05Z","timestamp":1552546505000},"page":"1940007","source":"Crossref","is-referenced-by-count":0,"title":["On Pure-Strategy Nash Equilibria in a Duopolistic Market Share Model"],"prefix":"10.1142","volume":"21","author":[{"given":"J. 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