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Author Villena, M.J.; Araneda, A.A. pdf  doi
openurl 
  Title Dynamics and stability in retail competition Type
  Year 2017 Publication Mathematics And Computers In Simulation Abbreviated Journal Math. Comput. Simul.  
  Volume 134 Issue (up) Pages 37-53  
  Keywords Multi-market oligopoly; Cournot-Nash competition; Economies of scale; Stability; Chaos  
  Abstract Retail competition today can be described by three main features: (i) oligopolistic competition, (ii) multi-store settings, and (iii) the presence of large economies of scale. In these markets, firms usually apply a centralized decisions making process in order to take full advantage of economies of scales, e.g. retail distribution centers. In this paper, we model and analyze the stability and chaos of retail competition considering all these issues. In particular, a dynamic multi-market Cournot Nash equilibrium with global economies and diseconomies of scale model is developed. We confirm the non-intuitive hypothesis that retail multi-store competition is more unstable than traditional small business that cover the same demand. The main sources of stability are the scale parameter, the number of markets, and the number of firms. (C) 2016 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.  
  Address [Villena, Marcelo J.; Araneda, Axel A.] Univ Adolfo Ibanez, Fac Sci & Engn, Avda Diagonal Torres 2640, Santiago 7941169, Chile, Email: marcelo.villena@uai.cl;  
  Corporate Author Thesis  
  Publisher Elsevier Science Bv Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0378-4754 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000392792900004 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 695  
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Author Villena, M.J.; Contreras, M. pdf  doi
openurl 
  Title Global And Local Advertising Strategies: A Dynamic Multi-Market Optimal Control Model Type
  Year 2019 Publication Journal Of Industrial And Management Optimization Abbreviated Journal J. Ind. Manag. Optim.  
  Volume 15 Issue (up) 3 Pages 1017-1048  
  Keywords Advertising strategies; multi-market oligopoly; global advertising; differential games  
  Abstract Differential games have been widely used to model advertising strategies of companies. Nevertheless, most of these studies have concentrated on the dynamics and market structure of the problem, neglecting their multi-market dimension. Since nowadays competition typically operates on multi-product contexts and usually in geographically separated markets, the optimal advertising strategies must take into consideration the different levels of disaggregation, especially, for example, in retail multi-product and multi-store competition contexts. In this paper, we look into the decision-making process of a multi-market company that has to decide where, when and how much money to invest in advertising. For this purpose, we develop a model that keeps the dynamic and oligopolistic nature of the traditional advertising game introducing the multi-market dimension of today's economies, while differentiating global (i.e. national TV) from local advertising strategies (i.e. a price discount promotion in a particular store). It is important to note, however, that even though this problem is real for most multi-market companies, it has not been addressed in the differential games literature. On the more technical side, we steer away from the traditional aggregated dynamics of advertising games in two aspects. Firstly, we can model different markets at once, obtaining a global instead of a local optimum, and secondly, since we are incorporating a variable that is common to markets, the resulting equations systems for every market are now coupled. In other words, one's decision in one market does not only affect one's competition in that particular market; it also affects one's decisions and one's competitors in all markets.  
  Address [Villena, Marcelo J.; Contreras, Mauricio] Univ Adolfo Ibanez, Fac Engn & Sci, Av Diagonal Las Torres 2640, Santiago 7941169, Chile, Email: marcelo.villena@uai.cl;  
  Corporate Author Thesis  
  Publisher Amer Inst Mathematical Sciences-Aims Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 1547-5816 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000466101700002 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 1021  
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