Recently, many cities have launched new rail transit lines. Once these new rail transit lines start commercial operation, they will play important roles as competitors to conventional bus services. In this paper, the effects of nationalization on equilibria have been studied in a mixed duopoly public transport market, in which one publicly-owned rail transit operator competes with one private b...

With the popularity of smart devices such as smartphones, tablets, contents that traditionally be viewed on a personal computer, can also be viewed on these smart devices. The demand for contents thus is increasing year by year, which makes the content providers (CPs) get high revenue from either users’ subscription or advertisement. On the other hand, Internet service providers (ISPs), who kee...

one of the most practical routine tests for convergence of a positive series makes use of the ratio test. if this test fails, we can use rabbe's test. when rabbe's test fails the next sharper criteria which may sometimes be used is the bertrand's test. if this test fails, we can use a generalization of bertrand's test and such tests can be continued innitely. for simplicity...

We demonstrate that a simple model, constructed on the premise that people are motivated by both their pecuniary payoff and their relative payoff standing, explains behavior in a wide variety of laboratory games. Included are games where equity is thought to be a factor, such as ultimatum, two-period alternating offer, and dictator games; games where reciprocity is thought to play a role, such ...

We study the impact of strategic commitment on cooperation in indefinitely repeated games of strategic substitutes (Cournot) and complements (Bertrand) using laboratory experiments. Overall, strategic commitment has no effect on cooperation with strategic substitutes and a negative one with strategic complements. In the absence of strong strategic commitment, we find more cooperation in the com...

Abstract—A dynamic of Bertrand duopoly game is analyzed, where players use different production methods and choose their prices with bounded rationality. The equilibriums of the corresponding discrete dynamical systems are investigated. The stability conditions of Nash equilibrium under a local adjustment process are studied. The stability conditions of Nash equilibrium under a local adjustment...

We present a dynamic extension of the classic static model of Bertrand price competition that allows competing duopolists to undertake cost-reducing investments in an attempt to “leapfrog” their rival to attain low-cost leadership — at least temporarily. We show that leapfrogging occurs in equilibrium, resolving the Bertrand investment paradox., i.e. leapfrogging explains why firms have an ex a...