Complexity in a Bertrand Duopoly Game with Heterogeneous Players and Differentiated Goods

Author(s):  
Georges Sarafopoulos ◽  
Kosmas Papadopoulos
2017 ◽  
Vol 31 (1) ◽  
pp. 1
Author(s):  
Rossazana Ab-Rahim ◽  
Bilal Tariq

Past studies have tended to investigate the relationship between trade and child labor under the traditional trade theories, while assuming that the trade in homogenous goods and the results show inconclusive evidence of a relationship. Hence, it would be interesting to investigate the trade effects of differentiated goods on child labor in the setting of the new trade theory. This study attempts to investigate the trade-induced child labor effects (selection, scale and technique effects) in selected Asian countries over the period from 1999 to 2013. The countries consist of the major South Asian Association for Regional Cooperation (SAARC) countries, namely: Bangladesh, India, Pakistan, Nepal, and Sri Lanka and selected ASEAN countries, namely: Cambodia, Indonesia, the Philippines, and Thailand, where child labor is most common. The results of this study confirm that the total impact of trade on child labor also needs to account for the selection effect, in addition to the scale and technique effects. The findings imply trade liberalization hampers the child labor market in the context of the trade in differentiated goods.


2012 ◽  
Vol 10 (6) ◽  
pp. 355
Author(s):  
Randall E. Waldron ◽  
Michael A. Allgrunn

In an earlier article, we reported the results of a classroom experiment simulating price competition in an oligopoly with differentiated goods. That study raised some questions that we were unable to address at that time. For this current study, we have adapted the experiment to further explore the effects of scarcity in the input markets, and to study the effects of price controls in these markets. We find that scarcity in an input market has the expected directional effect on prices in both input and output markets, but not necessarily the magnitude expected; we further find that price controls have only some of the effects expected. In the current experiment, we increased the number of rounds of the game to allow more opportunity for convergence to a stable outcome, and to allow for three distinct phases of the game: initial rounds in which inputs were abundantly available, subsequent rounds in which one inputs supply was dramatically reduced, and final rounds in which a price floor was established on the one input which remained abundant. As expected, firms played Nash/Bertrand strategies in the early rounds. However, the shock caused by reducing the availability of capital took many rounds for full adjustment, with both output prices and the equilibrium rental rate of capital rising consistently and gradually toward their projected equilibria over ten rounds, although even then capital prices did not rise enough to absorb all firm profits. Surprisingly, establishing a minimum wage did not have the anticipated effect of balancing payments between labor and capital; instead, the minimum wage completely disrupted the trend of an increasing rental price of capital and reduced it to zero, while creating volatility in profits without consistently eliminating them. Overall, we find that most of our anticipated results ultimately obtain, but adjustments to variations in market conditions are neither immediate nor perfectly consistent with the predictions of theory.


2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Shumin Jiang ◽  
Fei Xu ◽  
Zhanwen Ding ◽  
Chen Yang ◽  
Huanhuan Liu

Two different time delay structures for the dynamical Cournot game with two heterogeneous players are considered in this paper, in which a player is assumed to make decision via his marginal profit with time delay and another is assumed to adjust strategy according to the delayed price. The dynamics of both players output adjustments are analyzed and simulated. The time delay for the marginal profit has more influence on the dynamical behaviors of the system while the market price delay has less effect, and an intermediate level of the delay weight for the marginal profit can expand the stability region and thus promote the system stability. It is also shown that the system may lose stability due to either a period-doubling bifurcation or a Neimark-Sacker bifurcation. Numerical simulations show that the chaotic behaviors can be stabilized by the time-delayed feedback control, and the two different delays play different roles on the system controllability: the delay of the marginal profit has more influence on the system control than the delay of the market price.


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