In this paper, we employ lattice-theoretic techniques to derive a number of comparative statics in a logit contest -a class of games for which best-replies are generically non-monotonic. Using the same approach, we obtain several comparative statics in a Cournot oligopoly model without imposing the usual assumptions that ensure the game is one of strategic substitutes. Our analysis illustrates how latticetheoretic techniques can deliver powerful insights in games with nonmonotonic best-replies.
We extend the analysis of price caps in oligopoly markets to allow for sunk entry costs and endogenous entry. In the case of deterministic demand and constant marginal cost, reducing a price cap yields increased total output, consumer welfare, and total welfare; results consistent with those for oligopoly markets with a fixed number of firms. With deterministic demand and increasing marginal cost these comparative static results may be fully reversed, and a welfare-improving cap may not exist. Recent results in the literature show that for a fixed number of firms, if demand is stochastic and marginal cost is constant then lowering a price cap may either increase or decrease output and welfare (locally); however, a welfare improving price cap does exist. In contrast to these recent results, we show that a welfare-improving cap may not exist if entry is endogenous.However, within this stochastic demand environment we show that certain restrictions on the curvature of demand are sufficient to ensure the existence of a welfare-improving cap when entry is endogenous.JEL Codes: D21, L13, L51
We study a principal‐agent model wherein the agent is better informed of the prospects of the project, and the project requires both an observable and unobservable input. We characterize the optimal contracts, and explore the trade‐offs between high‐ and low‐powered incentive schemes. We discuss the implications for push and pull programs used to encourage Research and Development (R&D) activity, but our results are relevant in other contexts.
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