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Finitely additive exchange economies with properness allocation

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Abstract

This is a short and compact survey of finitely additive models in Equilibrium theory; starting from the classical finite-dimensional countably additive model as investigated by Aumann we present the further developments and the core-walras eqivalences that have been proven in finitely additive coalitional finitely dimensional models as well as those in infinite dimensional settings, both in the countably additive case as well as in the finitely additive one.

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Correspondence to Anna Martellotti.

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Caro Mimmo, avrei voluto dedicarti un articolo scientifico vero e proprio: purtroppo, nonostante i tanti tentativi, non sono riuscita a dimostrare il risutato che volevo dedicarti; se tu ci fossi ancora quasi sicuramente ci saresti riuscito tu. Ma io non sono te, perció mi sono accontentata di dedicarti un breve e semplice survey di alcuni risultati nei quali ho applicato tante delle cose che abbiamo dimostrato assieme. So che dove sei badi alla sostanza delle cose, che leggerai nel mio cuore e che ti basteranno gli sforzi che ho fatto per non sfigurare in questo omaggio corale.

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Martellotti, A. Finitely additive exchange economies with properness allocation. Boll Unione Mat Ital 13, 607–614 (2020). https://doi.org/10.1007/s40574-020-00261-6

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