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- W4299789238 abstract "We introduce a quantitative approach to comparative statics that allows to bound the maximum effect of an exogenous parameter change on a system's equilibrium. The motivation for this approach is a well known paradox in multimarket Cournot competition, where a positive price shock on a monopoly market may actually reduce the monopolist's profit. We use our approach to quantify for the first time the worst case profit reduction for multimarket oligopolies exposed to arbitrary positive price shocks. For markets with affine price functions and firms with convex cost technologies, we show that the relative profit loss of any firm is at most 25% no matter how many firms compete in the oligopoly. We further investigate the impact of positive price shocks on total profit of all firms as well as on social welfare. We find tight bounds also for these measures showing that total profit and social welfare decreases by at most 25% and 16.6%, respectively. Finally, we show that in our model, mixed, correlated and coarse correlated equilibria are essentially unique, thus, all our bounds apply to these game solutions as well." @default.
- W4299789238 created "2022-10-03" @default.
- W4299789238 creator A5052198695 @default.
- W4299789238 creator A5076976953 @default.
- W4299789238 date "2013-07-22" @default.
- W4299789238 modified "2023-10-17" @default.
- W4299789238 title "Robust Quantitative Comparative Statics for a Multimarket Paradox" @default.
- W4299789238 doi "https://doi.org/10.48550/arxiv.1307.5617" @default.
- W4299789238 hasPublicationYear "2013" @default.
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