Summary
This paper generalizes the Theorem of the Maximum (Berge [2]) to allow for discontinuous changes in the domain and the objective function. It also provides a geometrical version of the (generalized) theorem.
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References
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This research was supported in part by National Science Foundation Grant SES-86-19012. Financial assistance was also provided, for Lawrence Ausubel, by the Lynde and Harry Bradley Foundation, and for Raymond Deneckere, by the Kellogg School of Management's Beatrice/Esmark Research Chair. We thank Alejandro Manelli and Israel Zang for many helpful conversations.
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Ausubel, L.M., Deneckere, R.J. A generalized theorem of the maximum. Econ Theory 3, 99–107 (1993). https://doi.org/10.1007/BF01213694
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DOI: https://doi.org/10.1007/BF01213694