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A remark on topological robustness to bounded rationality in semialgebraic models
Institution:1. Department of Economics and Management, University of Pisa, Italy;2. CNRS, CMAP - Ecole Polytechnique, France;1. MIA, Université La Rochelle, Avenue Michel Crépeau, 17042- La Rochelle, France;2. GREThA, Université de Bordeaux, Avenue Léon Duguit, 33608- Pessac Cedex, France;3. INRA-LAMETA, 2 Place Viala, 34060- Montpellier Cedex 1, France;1. Aix-Marseille School of Economics, Université Aix-Marseille, France. Senior member, Institut Universitaire de France;2. EPEE, Université d’Evry-Val-d’Essonne (TEPP, FR-CNRS 3126), Département d’Economie, Evry, France;3. Dipartimento di Scienze Economiche ed Aziendali, Università LUISS - Guido Carli Rome, Italy;1. School of Finance, Renmin University of China, China;2. Department of Economics, Chinese University of Hong Kong, Shatin, N.T., Hong Kong
Abstract:In this short note, we show that the compact semialgebraic class of Anderlini and Canning (2001) is topologically robust, i.e. the topological properties of the equilibrium set are preserved, deviating parameter values and introducing a small amount of bounded rationality.
Keywords:Topological robustness to bounded rationality  Abstract game
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