This chapter compares conventional static measures of competitive balance with measures that take account of the mobility of teams into the upper ranks of professional leagues, which we call dynamic competitive balance. We use this measure to compare the open soccer leagues that permit entry by the process of promotion and relegation, to the closed leagues of North America where there is no automatic right of entry. We also identify the theoretical distribution of entrants to the top k ranks assuming that all teams have equal probabilities of winning. We find that the open leagues (OL) we study are less balanced, dynamically, than closed leagues (CL), and also that OL lie much further away from the theoretical distribution than CL.
This paper considers price discrimination when competing firms do not observe a customer's type but only some other variable correlated to it. This is a typical situation in many insurance markets-such as motor insurancewhere it is also often the case that insurance is compulsory. We characterise the equilibria and their welfare properties under various price regimes. We show that discrimination based on immutable characteristics such as gender is a dominant strategy, either when firms offer policies at a fixed price or when they charge according to some consumption variable that is correlated to costs. In the latter case, gender discrimination can be an outcome of strategic interaction alone in situations where it would not be adopted by a monopolist. Strategic price discrimination may also increase cross subsidies between types, contrary to expectations.
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