1. incomplete markets:

1.1. Radner economies
1.2 Hart’s counterexample
1.3 Cash and nominal assets
1.4 Default and penalties
1.5 Collateral
1.6. Bankruptcy

2. Economies with an infinite number of goods:

2.1. Bewley’s theorem
2.2 Relationship between short-sightedness, impatience and balance

3. Choice theory:

3.1. St. Petersburg paradox
3.2. von Neumann-Morgenstern representation
3.3. Savage representation
3.4. Allais and Ellsberg paradoxes
3.5. Ascombe-Aumann representation
3.6. Gilboa-Schmeidler representation
3.7. Schmeidler representation

References:
ARAUJO, ALOISIO P., E MARIO R. PASCOA. “Bancruptcy in a model of unsecured claims.” Economic Theory 20.3 (2002): 455-481.
BEWLEY, TRUMAN F. “Existence of equilibria in economies with infinitely many commodities.” Journal of Economic Theory 4.3 (1972): 514-540.
DE CASTRO, LUCIANO I., E JOSE HELENO FARO. Introduction to choice theory. IMPA, 2005.
DUBEY, PRADEEP, JOHN GEANAKOPLOS, AND MARTIN SHUBIK. “Default and punishment in general equilibrium 1.” Econometrica 73.1 (2005): 1-37.
GEANAKOPLOS, JOHN, AND WILLIAM R. ZAME. “Collateral equilibrium, I: a basic framework.” Economic Theory 56.3 (2014): 443-492.
MAS-COLELL, ANDREU, AND WILLIAM R. ZAME. “Equilibrium theory in infinite dimensional spaces.” Handbook of mathematical economics 4 (1991): 1835-1898.

* Basic syllabus. The teacher has the autonomy to make any changes.