In this paper we consider, on one hand, a differentiated Cournot model, and, on the other hand, a differentiated Bertrand model, when one of the firms engages in an R&D process that gives an endogenous cost-reducing innovation. The aim of the present paper is two-fold. The first is to study the licensing of the cost-reduction by a per-unit royalty and a fixed-fee in these Cournot and Bertrand models. The second is to do a direct comparison between Cournot model and Bertrand model. We analyse the implications of these types of licensing contracts over the R&D effort, the profits of the firms, the consumer surplus and the social welfare. We show that some previous results for two-part tariff licensing are not robust, in the sense that they can be not true for just either a per-unit royalty contract or a fixed-fee contract. Furthermore, by using comparative static analysis, we conclude that the degree of the differentiation of the goods assumes a great importance in the results. We also discuss the optimal licensing, meaning that which licensing method is preferred, in each of the duopoly models considered.

For diffeomorphisms on surfaces with basic sets, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point in the basic set then the conjugacy has a smooth extension to the surface. These results generalize the similar ones of D. Sullivan, E. de Faria and ours for one-dimensional expanding dynamics.

Purpose: The aim of this paper is to analyze and compare the effect of different hotel characteristics and room attributes on room rates of hotels in the cities of Lisbon and Porto, the capital and second most important city in Portugal. Design/methodology/approach: Using the hedonic pricing method, hotel characteristics are decomposed and analyzed, giving us the perception of the impact of each hotel attributes on the room rates and the people’s willingness to pay for this. Ordinary least square regression analysis was applied to the hedonic price model to find which variables could explain differences in the hotel room rates in Lisbon and Porto. Findings: The results suggest that in Lisbon and in Porto, a number of common characteristics have significant effects on consumer willingness to pay for a stay in a hotel as star rating, consumer rating and the room size. In Porto, the existence of a fitness centre and in Lisbon, the distance to the city centre are also attributes that create a premium in room rates. Practical implications: The knowledge of the most valued characteristics by consumers is an important tool for hotel managers to define a price strategy. Also important is the knowledge of the attributes that provide more added value for consumers as these should be taken into account in new investment decisions. Originality/value: This study highlights the implications of the way one defines and measures qualitative hotel characteristics in hedonic pricing. Although the hedonic method has been applied in several studies, to our knowledge, in Portugal, there are few studies applied only to hotel room rates, and there are no studies comparing hotel room rates in different Portuguese cities. Moreover, the research highlights the critical role of a proper definition and measurement of the variables in hedonic pricing in general and the hotel star in particular.