By C. Castaing, P. Raynaud de Fitte (auth.), Shigeo Kusuoka, Toru Maruyama (eds.)
A lot of financial difficulties might be formulated as restricted optimizations and equilibration in their ideas. numerous mathematical theories were offering economists with critical machineries for those difficulties bobbing up in monetary thought. Conversely, mathematicians were inspired by means of numerous mathematical problems raised via fiscal theories. The sequence is designed to collect these mathematicians who're heavily attracted to getting new not easy stimuli from fiscal theories with these economists who're looking powerful mathematical instruments for his or her research.
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Extra info for Advances in Mathematical Economics Volume 17
7 From here on, having mentioned the relevant earlier work of the authors by name, we adopt the convention of referring to an item by its number in the list of references. 8 This work has now received extension and elaboration in . The construction, originally presented in  is incorporated in ongoing work by Khan and Adriana Piazza. 9 For a further orientation, and as an exercise, the reader may wish to look ahead at Figs. 7 and 8, along with Fig. 1, and determine for herself where they fall within the tri-partite categorization being proposed in this paragraph.
In addition to the CMM and CEMA, the authors are grateful to the Center for Analytic Economics (CAE) at Cornell for research support, to Paulo Sousa and an anonymous referee of this journal for their meticulous readings, and to Roger Guesnerie, Leo Hurwicz, Adriana Piazza, Roy Radner, Santanu Roy, Harutaka Takahashi and David Wiczer for stimulating conversation. S. Kusuoka and T. A. Khan and T. Mitra 3-period cycles in a canonical instance of the outside case. The geometry is shown to have more general interest and relevance for future work.
If Fig. 3 is redrawn with the particular specification of Fig. 1, the line OD is rotated upward so as to make D identical to M7 , enabling the plans m and n4 being on the same vertical, and the quadruple (m, n2 , m1 , n4 ) constituting a rectangle and being reduced to the pair (m, m1 ) being regarded as dual plans. This duality, in turn, lead to the establishment of a continuum of 4-period cycles in . In the argument recapitulated above, there is of course no presumption that the check-map is an optimal map.
Advances in Mathematical Economics Volume 17 by C. Castaing, P. Raynaud de Fitte (auth.), Shigeo Kusuoka, Toru Maruyama (eds.)