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The game with n boundedly rational agents is modelled by a 2n-dimensional discrete dynamical system, whose state variables are the R&amp;D efforts and the stock of accumulated knowledge of each firm involved in the competition. The model is characterized by some counteracting forces: Efforts are costly but can increase future profits; immediate expenditures of each firm can have cost-reducing effects in the long run, since accumulated knowledge can decrease both own costs and competitors' ones, because of spillover effects. In the case of two homogeneous firms we prove the existence of a unique equilibrium and its stability. Starting from these analytic results, numerical simulations are performed in order to study the effects induced by heterogeneities between the players on stability and transient dynamics, as well as the influence of the main parameters on the basins of attraction.<\/jats:p>","DOI":"10.1142\/s0219198904000241","type":"journal-article","created":{"date-parts":[[2004,10,4]],"date-time":"2004-10-04T01:27:43Z","timestamp":1096853263000},"page":"323-341","source":"Crossref","is-referenced-by-count":18,"title":["A COMPETITION GAME WITH KNOWLEDGE ACCUMULATION AND SPILLOVERS"],"prefix":"10.1142","volume":"06","author":[{"given":"GIAN-ITALO","family":"BISCHI","sequence":"first","affiliation":[{"name":"Istituto di Scienze Economiche, Universit\u00e0 di Urbino \"Carlo Bo\", via Saffi 42, I-61029 Urbino, Italy"}]},{"given":"FABIO","family":"LAMANTIA","sequence":"additional","affiliation":[{"name":"Dipartimento O.A.A.P., Facolt\u00e0 di Economia, Universit\u00e0 della Calabria, Via Pietro Bucci 3B-3C, I 87036, Arcavacata di Rende (CS), Italy"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1889(99)00028-7"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(02)00677-X"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(01)00637-X"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1017\/S1365100501019022"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(01)00006-6"},{"key":"rf6","first-page":"529","volume":"70","author":"Bultez A. 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