# Frank Page

## Publications

Discussion Papers

Aug 2016

DP 62

This paper has two main objectives: first, to provide a formal definition of endogenous systemic risk that is firmly grounded in equilibrium dynamics of temporary financial networks (i.e., short-term lending and investment networks); and...

Discussion Papers

Aug 2016

DP 61

For a discounted stochastic game with an uncountable state space and compact metric action spaces, we show that if the measurable-selection-valued, Nash payoff selection correspondence of the underlying one-shot game contains a sub-...

Discussion Papers

Aug 2016

DP 60

We identify a new class of uncountable-compact discounted stochastic games for which existence of stationary Markov equilibria can be established and we prove two new existence results for this class. Our approach to proving existence in...

Discussion Papers

Feb 2016

DP 56

We construct a model of a principal-agent game of network formation (over layered networks) with asymmetric information and we consider the following two questions: (1) Is it possible for the principal to design a mechanism that links the reports of...

Discussion Papers

Feb 2016

DP 55

We answer the following question: Does regulating the banking network increase systemic risk in the entire financial network in the presence of unregulated shadow banks? In order to answer this question, we introduce a formal definition of systemic...

Discussion Papers

Sep 2015

DP 45

Economics and game theory are replete with examples of parameterized games. We show that all minimal Nash payoff USCOs belonging to the Nash equilibrium correspondence of a parameterized game with payoff functions that are uniformly equicontinuous...

Discussion Papers

Sep 2015

DP 44

For a discounted stochastic game with an uncountable state space and compact metric action spaces, we show that if the measurable-selection-valued, Nash payoff selection correspondence of the underlying one-shot game contains a sub-correspondence...

Discussion Papers

Sep 2015

DP 43

We establish a new fixed point result for measurable-selection-valued correspondences with nonconvex and possibly disconnected values arising from the composition of Caratheodory functions with an upper Caratheodory correspondence. We show that, in...

Discussion Papers

Jun 2015

DP 39

We model the structure and strategy of social interactions prevailing at any point in time as a directed network and we address the following open question in the theory of social and economic network formation: given the rules of network and...