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We study a market-entry game with a second-mover advantage. In the symmetric equilibrium, there can be a non-monotonic relationship between the probability with which a player will invest (entry) and the length of time until the deadline. Moreover, the probability of investment can move chaotically as the horizon is extended. In the limit when the period length goes to zero chaotic trajectories arise when the efficiency effect does not hold - that is, when the one-period monopoly profit is less than the total of the one-period duopoly profits. We also show that the presence of chaotic trajectories is associated with a smaller expected delay in entry.
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... (15 April 2007 ¡http://www.filmsite.org/70sintro.html¿.) (Reinganum, 1981); on rent dissipation ( Tirole, 1985, 1987); on market entry dynamics (Smirnov and Wait, 2007); on the sequence of innovations and industry evolution (Reinganum, 1985), (Vickers, 1986); and on divisionalization (Schwartz and Thompson, 1986). The main effects governing R&D and technological rivalry have been mostly analyzed using game theoretical tools. ...
... In 1977, 20th Century Fox would follow suit, and begin releasing its films on videotape In 1977, RCA introduced the first VCRs in the United States based on JVC's system, capable of recording up to four hours on 1/2 " videotape.By the late 70s, Sony's market share in sales of Betamax VCRs was below that of sales of VHS machines; consumers chose the VHS' longer tape time and larger tape size, over Sony's smaller and shorter tape time (of 1 hour). Video sales-the first films on videotape were released by the Magnetic Video Corporation (a company founded in 1968 by Andre Blay in Detroit, Michigan, the first video distribution company)-it licensed fifty films for release from 20th Century (Reinganum, 1981); on rent dissipation (Tirole, 1985, 1987); on market entry dynamics (Smirnov and Wait, 2007); on the sequence of innovations and industry evolution (Reinganum, 1985), (Vickers, 1986); and on divisionalization (Schwartz and Thompson, 1986). ...
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The theoretical literature on technological competition has been mostly concerned with various aspects of innovative activity in a single market. By contrast, this paper studies the adoption of a sequence of product innovations in two markets characterized by a common technology base, and illustrates the effects of technological rivalry and preemption. Under a perfect information scenario, it is shown in a two incumbent model that if the innovation is drastic (total replacement of the old product), under certain conditions the fear of being preempted by the entrant forces the firms to diversify their product lines by adopting the innovations across each other's markets. On the other hand, with non-drastic innovation (partial replacement of the old product), it is more likely for the firms to diversify in their own product lines. Out of a class of equilibria characterized under non-drastic innovation, one is optimal in which innovations are adopted in the firms' own markets. In the Pareto inferior equilibria, the firms either adopt innovations in each other's market so that incumbency changes hands or jointly adopt both innovations in two separate product lines. Perfect Bayesian equilibria are characterized under an asymmetric information scenario where one of the firms is assumed to have complete information about the relevant costs of adopting an innovation in a separate product line. If the priors are based on pessimism, it is more often subject to exploitation by the informed firm leading to pooling equilibrium, while optimistism more often leads to diversification and to a competitive market structure in both product lines under a separating equilibrium. In all the cases considered, both innovations are adopted, and in most cases they are adopted by the high cost entrant. The former is socially desirable, but the latter is not. More competitiveness necessarily implies wasteful expenditure by the high cost firm. Lack of competitiveness and technological rivalry, on the other hand, imply that maximum product diversity may not be achieved.
... Comparison of Boots's statement here with that made at the outset of the alliance (see p. 755) captures the distinctiveness of its alternative strategy. Moreover, Sainsbury's extended health and beauty offer included some exclusive niche brands, which Boots had stocked for many years; so, it appears that Sainsbury's was mimicking the Boots offer and gaining a " second-mover advantage " [48]. Formally speaking, each player has a set of strategies (Ally, Alternative). ...
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... Comparison of Boots's statement here with that made at the outset of the alliance (see p. 755) captures the distinctiveness of its alternative strategy. Moreover, Sainsbury's extended health and beauty offer included some exclusive niche brands, which Boots had stocked for many years; so, it appears that Sainsbury's was mimicking the Boots offer and gaining a " second-mover advantage " [48]. Formally speaking, each player has a set of strategies (Ally, Alternative). ...
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... Comparison of Boots's statement here with that made at the outset of the alliance (see p. 755) captures the distinctiveness of its alternative strategy. Moreover, Sainsbury's extended health and beauty offer included some exclusive niche brands, which Boots had stocked for many years; so, it appears that Sainsbury's was mimicking the Boots offer and gaining a " second-mover advantage " [48]. Formally speaking, each player has a set of strategies (Ally, Alternative). ...
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Abstract: Prompted by a real-life observation in the UK retail market, a two-player Prisoners’ Dilemma model of an alliance between two firms is adapted to include the response of a rival firm, resulting in a version of a three-player Prisoners’ Dilemma. We use this to analyse the impact on the stability of the alliance of the rival’s competition, either with the alliance or with the individual partners. We show that, while strong external pressure on both partners can cause Ally-Ally to become a Nash equilibrium for the two-player Prisoners’ Dilemma, weak or asymmetric pressure that plays on the partners’ differing objectives can undermine the alliance. As well as providing new insights into how allies should respond if the alliance is to continue, this also illustrates how a third party can most effectively cause the alliance to become unsustainable. We create a new game theoretic framework, adding value to existing theory and the practice of alliance formation and sustainability.
... Comparison of Boots's statement here with that made at the outset of the alliance (see p. 755) captures the distinctiveness of its alternative strategy. Moreover, Sainsbury's extended health and beauty offer included some exclusive niche brands, which Boots had stocked for many years; so, it appears that Sainsbury's was mimicking the Boots offer and gaining a " second-mover advantage " [48]. Formally speaking, each player has a set of strategies (Ally, Alternative). ...
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