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Publications of Frank Page

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Academic journals

A fixed point theorem for measurable selection valued correspondences induced by upper Caratheodory correspondences

Journal of Fixed Point Theory and Applications, 25, 2

December 2022
Jing Fu
Frank Page

Academic journals

Layered Networks, Equilibrium Dynamics, and Stable Coalitions

Dynamic Games and Applications, 13, 636–668

October 2022
Jing Fu
Frank Page
Jean-Pierre Zigrand

Discussion Papers

Discounted Stochastic Games, the 3M Property and Stationary Markov Perfect Equilibria

We show that all discounted stochastic games DSGs satisfying the usual assumptions have Nash payoff selection correspondences having fixed points. Our...

April 2022
DP 119
Jing Fu
Frank Page

Discussion Papers

Layered Networks, Equilibrium Dynamics, and Stable Coalitions

An important aspect of network dynamics that has been missing from our understanding of network dynamics in various applied settings is the influence...

March 2022
DP 117
Jing Fu
Frank Page
Jean-Pierre Zigrand

Discussion Papers

Parameterized State-Contingent Games, 3M Minimal Nash Correspondences, and Connectedness

Under mild assumptions on primitives, we show that all parameterized state-contingent games (PSGs) have upper Caratheodory (uC) Nash (equilibrium)...

March 2022
DP 116
Jing Fu
Frank Page

Discussion Papers

A Fixed Point Theorem for Measurable Selection Valued Correspondences Induced by Upper Caratheodory Correspondences

We show that any measurable selection valued correspondence induced by the composition of an m-tuple of real-valued Caratheodory functions with an...

March 2022
DP 115
Jing Fu
Frank Page

Discussion Papers

Systemic Risk and the Dynamics of Temporary Financial Networks

This paper has two main objectives: first, to provide a formal definition of endogenous systemic risk that is firmly grounded in equilibrium dynamics...

August 2016
DP 62
Rui Gong
Frank Page

Discussion Papers

On K-Class Discounted Stochastic Games

For a discounted stochastic game with an uncountable state space and compact metric action spaces, we show that if the measurable-selection-valued...

August 2016
DP 61
Frank Page

Discussion Papers

Stationary Markov Equilibria for Approximable Discounted Stochastic Games

We identify a new class of uncountable-compact discounted stochastic games for which existence of stationary Markov equilibria can be established and...

August 2016
DP 60
Frank Page

Discussion Papers

Incentive Compatible Networks and the Delegated Networking Principle

We construct a model of a principal-agent game of network formation (over layered networks) with asymmetric information and we consider the following...

February 2016
DP 56
Rui Gong
Jieshuang He
Frank Page

Discussion Papers

Shadow Banks and Systemic Risks

We answer the following question: Does regulating the banking network increase systemic risk in the entire financial network in the presence of...

February 2016
DP 55
Rui Gong
Frank Page

Discussion Papers

Parameterized Games, Minimal Nash Correspondences, and Connectedness

Economics and game theory are replete with examples of parameterized games. We show that all minimal Nash payoff USCOs belonging to the Nash...

September 2015
DP 45
Frank Page

Discussion Papers

Stationary Markov Equilibria for K-Class Discounted Stochastic Games

For a discounted stochastic game with an uncountable state space and compact metric action spaces, we show that if the measurable-selection-valued...

September 2015
DP 44
Frank Page

Discussion Papers

A Fixed Point Theorem for Measurable-Selection-Valued Correspondences Arising in Game Theory

We establish a new fixed point result for measurable-selection-valued correspondences with nonconvex and possibly disconnected values arising from the...

September 2015
DP 43
Frank Page

Discussion Papers

Endogenous Correlated Network Dynamics

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...

June 2015
DP 39
Rui Gong
Frank Page
Myrna Wooders

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