Licensing endogenous cost-reduction in a differentiated Stackelberg model

In this paper we consider a differentiated Stackelberg model, when the leader firm engages in an R&D process that gives an endogenous cost-reducing innovation. The aim is to study the licensing of the cost-reduction by a two-part tariff. By using comparative static analysis, we conclude that the degree of the differentiation of the goods plays an important role in the results. We also do a direct comparison between our model and Cournot duopoly model.

International Stackelberg model with tariffs

This paper analyses the effects of tariffs on an international economy with a monopolistic sector with two firms, located in two countries, each one producing a homogeneous good for both home consumption and export to the other identical country. We consider a game among governments and firms. First, the government imposes a tariff on imports and then we consider the two types of moving: simultaneous (Cournot-type model) and sequential (Stackelberg-type model) decisions by the firms. We also compare the results obtained in each model.

Per-unit royalty and fixed-fee licensing in a differentiated Stackelberg model

In the present paper we consider a differentiated Stackelberg model, when the leader firm engages in an R&D process that gives an endogenous cost-reducing innovation. The aim is to study the licensing of the cost-reduction by a per-unit royalty and a fixed-fee. 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. By using comparative static analysis, we conclude that the degree of the differentiation of the goods plays an important role in the results.

Flexibility in a Stackelberg leadership with differentiated goods

We study the effects of product differentiation in a Stackelberg model with demand uncertainty for the first mover. We do an ex-ante and ex-post analysis of the profits of the leader and of the follower firms in terms of product differentiation and of the demand uncertainty. We show that even with small uncertainty about the demand, the follower firm can achieve greater profits than the leader, if their products are sufficiently differentiated. We also compute the probability of the second firm having higher profit than the leading firm, subsequently showing the advantages and disadvantages of being either the leader or the follower firm.

Privatization and social welfare in an international mixed Stackelberg duopoly

Competition between public and private firms exists in a range of industries like telecommunications, electricity, natural gas, airlines industries, as weel as services including hospitals, banking and education. Some authors studied mixed oligopolies under Cournot competition (firms move simultaneously) and some others considered Stackelberg models (firms move sequentially). Tomaru [1] analyzed, in a Cournot model, how decision-making upon cost-reducing R&D investment by a domestic public firm is affected by privatization when competing in the domestic market with a foreign firm. He shows that privatization of the domestic public firm lowers productive efficiency and deteriorates domestic social welfare. In this paper, we examine the same question but in a Stackelberg formulation instead of Cournot. The model is a three-stage game. In the first stage, the domestic firm chooses the amount of cost-reducing R&D investment. Then, the firms compete à la Stackelberg. Two cases are considered: (i) The domestic firm is the leader; (ii) The foreign firm is the leader. We show that the results obtained in [1] for Cournot competition are robust in the sence that they are also true when firms move sequentially.

Stackelberg duopoly with demand uncertainty

We consider a symmetric Stackelberg model in which there is asymmetric demand information owned by first and second movers. We analyse the advantages of leadership and flexibility, and prove that when the leading firm faces demand uncertainty, but the follower does not, the first mover does not necessarily have advantage over the second mover. Moreover, we show that the advantage of one firm over the other depends upon the demand fluctuation and also upon the degree of substitutability of the products.

Flexibility and leadership advantages in a model with uncertain demand

We consider a differentiated Stackelberg model with demand uncertainty only for the first mover. We study the advantages of flexibility over leadership as the degree of the differentiation of the goods changes.

Flexibility in Stackelberg leadership

We consider a Stackelberg model with demand uncertainty, only for the first mover. We study the advantages of leadership and flexibility with the variation of the demand uncertainty. Liu proved for demand uncertainty parameter greater than three that the follower firm can have an advantage with respect to the leading firm for some realizations of the demand intercept. Here, we prove that for demand uncertainty parameter less than three the leading firm is always in advantage.

Privatização num mercado misto com decisões sequenciais

Consideramos um mercado no qual competem uma empresa pública e uma empresa privada, decidindo, de forma sequencial, as quantidades a produzir. O governo impõe um imposto sobre as quantidades comercializadas, de acordo com uma função que consiste numa soma ponderada entre o bem-estar público e a receita total obtida pela aplicação desse imposto. O objetivo deste trabalho é estudar o efeito da privatização da empresa pública, (i) quando a empresa líder é a empresa pública; e (ii) quando a empresa líder é a empresa privada. Além disso, fazemos uma comparação entre os resultados obtidos nos dois modelos estudados.

La sécurité collective dans l’unipolarité : la crise nucléaire iranienne

L’argument central de notre thèse est qu’une structure internationale unipolaire non hégémonique favorise la sécurité collective. Après avoir montré que telle est la structure actuelle et avoir justifié notre positionnement théorique néolibéral, nous avons eu recours au modèle d’interaction du « leader-suiveur de Stackelberg », pour démontrer qu’une coopération conflictuelle entre États rationnels est possible, ce qui leur permet de surmonter leur dilemme de l’action collective. Une coopération possible en raison de l’existence d’un intérêt mutuel et d’un leader favorisant la coopération entre ces États, ainsi que de conditions leur permettant de mettre en place une ‘stratégie de la réciprocité’. Ils forment alors ce qu’on appelle le « groupe de Stackelberg ». Le suiveur de la périphérie, ou ‘défecteur’ doit, pour sa part, non seulement s’ajuster à l’intérêt mutuel ainsi défini, mais aussi coopérer et négocier avec le groupe, et ce, sous la pression de sanctions, voire d’un usage ultime de la force si besoin est. Après l’éventuel succès de ces négociations, un équilibre de Stackelberg favorisé par le leader, soit la puissance unipolaire et non hégémonique, est alors atteint et la coopération permet, alors, à chacun de retirer un bénéfice de cet intérêt mutuel. Dans notre cas, le groupe de Stackelberg est constitué des membres du G5 + 1, soit les cinq membres permanents du Conseil de Sécurité de l’ONU et de l’Allemagne, agissant sous le leadership américain; l’Iran est un suiveur de la périphérie, soupçonné de défection, et l’intérêt mutuel est celui de la lutte contre la prolifération des ADM. Notre évaluation empirique montre que les conditions de la réciprocité des membres de ce groupe sont réunies et que celles de l’Iran sont en cours de négociation.

Desirable role in an international duopoly model with tariffs

In this paper, we study an international market model in which the home government imposes a tariff on the imported goods. The model has two stages. In the first stage, the home government chooses an import tariff to maximize a function that cares about the home firm’s profit and the total revenue. Then, the firms engage in a Cournot or in a Stackelberg competition. We compare the results obtained in the three different ways of moving on the decision make of the firms.

Stackelberg leadership with demand uncertainty in a differentiated duopoly

On a symmetric differentiated Stackelberg duopoly model in which there is asymmetric demand information owned by leading and follower firms, we show that the leading firm does not necessarily have advantage over the following one. The reason for this is that the second mover can adjust its output level after observing the realized demand, while the first mover chooses its output level only with the knowledge of demand distribution.

A note on the coincidence between Stackelberg and Nash equilibria in a differential game between government and firms

[cat] A Navas i Marín Solano es va demostrar la coincidència entre els equilibris de Nash i de Stackelberg per a una versi´o modificada del joc diferencial proposat por Lancaster (1973). Amb l’objectiu d’obtenir una solució interior, es van imposar restriccions importants sobre el valors dels paràmetres del model. En aquest treball estenem aquest resultat, en el límit en que la taxa de descompte és igual a zero, eliminant les restriccions i considerant totes les solucions possibles.

A note on the coincidence between Stackelberg and Nash equilibria in a differential game between government and firms

[cat] A Navas i Marín Solano es va demostrar la coincidència entre els equilibris de Nash i de Stackelberg per a una versi´o modificada del joc diferencial proposat por Lancaster (1973). Amb l’objectiu d’obtenir una solució interior, es van imposar restriccions importants sobre el valors dels paràmetres del model. En aquest treball estenem aquest resultat, en el límit en que la taxa de descompte és igual a zero, eliminant les restriccions i considerant totes les solucions possibles.

A cognitive hierarchy model of behavior in the action commitment game

We apply the cognitive hierarchy model of Camerer et al. (Q J Econ 119(3):861-898, 2004)-where players have different levels of reasoning-to Huck et al. (Games Econ Behav 38:240-264, 2002) discrete version of Hamilton and Slutsky (Games Econ Behav 2:29-46, 1990) action commitment game-a duopoly with endogenous timing of entry. We show that, for an empirically reasonable average number of thinking steps, the model rules out Stackelberg equilibria, generates Cournot outcomes including delay, and outcomes where the first mover commits to a quantity higher than Cournot but lower than Stackelberg leader. We show that a cognitive hierarchy model with quantal responses can explain the most important features of the experimental data on the action commitment game in (2002). In order to gauge the success of the model in fitting the data, we compare it to a noisy Nash model. We find that the cognitive hierarchy model with quantal responses fits the data better than the noisy Nash model.