it is therefore possible that a trade off will occur between equity and efficiency (Halsnæs et al., 2007). Trading In an emissions trading system, permits may be traded by emitters who are liable to hold a sufficient number of permits in system. Some analysts argue that allowing others to participate in trading, e.g., private brokerage firms, can allow for better management of risk in the system, e.g., to variations in permit prices (Bashmakov et al., 2001). It may also improve the efficiency of system. According to Bashmakov et al. (2001), regulation of these other entities may be necessary, as is done in other financial markets, e.g., to prevent abuses of the system, such as insider trading. Incentives and allocation Emissions trading gives polluters an incentive to reduce their emissions. However, there are possible perverse incentives that can exist in emissions trading. Allocating permits on the basis of past emissions ("grandfathering") can result in firms having an incentive to maintain emissions. For example, a firm that reduced its emissions would receive fewer permits in the future (IMF, 2008, pp. 25–26). There are costs that emitters do face, e.g., the costs of the fuel being used, but there are other costs that are not necessarily included in the price of a good or service. These other costs are called external costs (Halsnæs et al., 2007). This problem can also be criticized on ethical grounds, since the polluter is being paid to reduce emissions (Goldemberg et al., 1996, p. 38). On the other hand, a permit system where permits are auctioned rather than given away, provides the government with revenues. These revenues might be used to improve the efficiency of overall climate policy, e.g., by funding energy efficiency programs (ACEEE 2019) or reductions in distortionary taxes (Fisher et al., 1996, p. 417). In Coase's model of social costs, either choice (grandfathering or auctioning) leads to efficiency. In reality, grandfathering subsidizes polluters, meaning that polluting industries may be kept in business longer than would otherwise occur. Grandfathering may also reduce the rate of technological improvement towards less polluting technologies (Fisher et al., 1996, p. 417). William Nordhaus argues that allocations cost the economy as they cause the under utilisation an efficient form of taxation. Nordhaus argues that normal income, goods or service taxes distort efficient investment and consumption, so by using pollution taxes to generate revenue an emissions scheme can increase the efficiency of