Euler-Lagrange equations of stochastic differential games: application to a game of a productive asset

Verfasser / Beitragende:
[Ricardo Josa-Fombellida, Juan Rincón-Zapatero]
Ort, Verlag, Jahr:
2015
Enthalten in:
Economic Theory, 59/1(2015-05-01), 61-108
Format:
Artikel (online)
ID: 605475784
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024 7 0 |a 10.1007/s00199-015-0873-z  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00199-015-0873-z 
245 0 0 |a Euler-Lagrange equations of stochastic differential games: application to a game of a productive asset  |h [Elektronische Daten]  |c [Ricardo Josa-Fombellida, Juan Rincón-Zapatero] 
520 3 |a This paper analyzes a noncooperative and symmetric dynamic game where players have free access to a productive asset whose evolution is a diffusion process with Brownian uncertainty. A Euler-Lagrange equation is found and used to provide necessary and sufficient conditions for the existence and uniqueness of a smooth Markov Perfect Nash Equilibrium. The Euler-Lagrange equation also provides a stochastic Keynes-Ramsey rule, which has the form of a forward-backward stochastic differential equation. It is used to study the properties of the equilibrium and to make some comparative statics exercises. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Stochastic productive asset  |2 nationallicence 
690 7 |a Markov Perfect Nash Equilibrium  |2 nationallicence 
690 7 |a Euler-Lagrange equations  |2 nationallicence 
700 1 |a Josa-Fombellida  |D Ricardo  |u Departamento de Estadística e Investigación Operativa and IMUVA, Universidad de Valladolid, P. de Belén 7, 47011, Valladolid, Spain  |4 aut 
700 1 |a Rincón-Zapatero  |D Juan  |u Departamento de Economía, Universidad Carlos III de Madrid, C/ Madrid, 126, 28903, Getafe, Madrid, Spain  |4 aut 
773 0 |t Economic Theory  |d Springer Berlin Heidelberg  |g 59/1(2015-05-01), 61-108  |x 0938-2259  |q 59:1<61  |1 2015  |2 59  |o 199 
856 4 0 |u https://doi.org/10.1007/s00199-015-0873-z  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00199-015-0873-z  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Josa-Fombellida  |D Ricardo  |u Departamento de Estadística e Investigación Operativa and IMUVA, Universidad de Valladolid, P. de Belén 7, 47011, Valladolid, Spain  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Rincón-Zapatero  |D Juan  |u Departamento de Economía, Universidad Carlos III de Madrid, C/ Madrid, 126, 28903, Getafe, Madrid, Spain  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Economic Theory  |d Springer Berlin Heidelberg  |g 59/1(2015-05-01), 61-108  |x 0938-2259  |q 59:1<61  |1 2015  |2 59  |o 199