We assess the degree of connectedness among 16 metals that are critical for the production of clean energy technologies. These commodities are the constituents of the Energy Transition Metals (ETMs) price index maintained by the International Monetary Fund and comprise base, precious, and minor...

Producers submit committed supply functions to a procurement auction, e.g. an electricity auction, before the uncertain demand has been realized. In the Supply Function Equilibrium(SFE), every firm chooses the bid maximizing his expected profit given the bids of the competitors. In case of...

Most balaning markets of electric power are organized as uniform-price auctions. In 2001, the balancing market of England and Wales switched to a pay-as-bid auction with the intention of reducing wholesale electricity prices. Numerical simultations of an electricity auction model have indicated...

In a real-time electric power auction, the bids of producers consist of committed supply as a function of price. The bids are submitted under uncertainty, before the demand by the Independent System Operator has been realized. In the Supply Function Equilibrium (SFE), every producer chooses the...

This paper derives a Supply Function Equilibrium (SFE) of a pay-as-bid auction, also called discriminatory auction. Such an auction is used in the balancing market for electric power in Britain. For some probability distributions of demand a pure-strategy equilibrium does not exist. If demand...

Consider a market where producers submit supply functions to a procurement auction - e.g. an electric power auction - under uncertainty, before demand has been realized. In the Supply Function Equilibrium (SFE), every firm commits to the supply function maximizing his expected profit given the...

We provide a framework for analyzing bilateral mergers when there is two-sided asymmetric information about firms' types. We show that there is always a no-merger equilibrium where firms do not consent to a merger, irrespective of their type. There may also be a cut-off equilibrium if the...

We analyze a Bayesian merger game under two-sided asymmetric information about firm types. We show that the standard prediction of the lemons market model-if any, only low-type firms are traded-is likely to be misleading: Merger returns, i.e. the difference between pre- and post-merger profits,...

This paper studies the effects of patents and subsidies on R&D investment decisions. The theoretical framework is a two-stage game consisting of an investment and a market stage. In equilibrium, both patents and subsidies induce the same amount of R&D investment, which is higher than the...

The paper characterizes the mixed-strategy equilibria in all-pay auctions with endogenous prizes that depend positively on own effort and negatively on the effort of competitors. Such auctions arise naturally in the context of investment games, lobbying games, and promotion tournaments. We also...