Brown-von-Neumann-Nash dynamics: the continous strategy case

In John Nash’s proofs for the existence of (Nash) equilibria based on Brouwer’s theorem, an iteration mapping is used. A continuous- time analogue of the same mapping has been studied even earlier by Brown and von Neumann. This differential equation has recently been suggested as a plausible bounded...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Hofbauer, Josef (VerfasserIn) , Oechssler, Joerg (VerfasserIn) , Riedel, Frank (VerfasserIn)
Dokumenttyp: Article (Journal) Book/Monograph Arbeitspapier
Sprache:Englisch
Veröffentlicht: Heidelberg University of Heidelberg, Department of Economics December 14, 2005
Schriftenreihe:Discussion paper series / Universität Heidelberg, Department of Economics no. 424
In: Discussion paper series (no. 424)

Schlagworte:
Online-Zugang:Resolving-System, Volltext: http://hdl.handle.net/10419/127239
Verlag, Volltext: http://www.awi.uni-heidelberg.de/publications/papers/dp424.pdf
Volltext
Verfasserangaben:Josef Hofbauer, Jörg Oechssler and Frank Riedel

MARC

LEADER 00000cam a2200000 c 4500
001 51880724X
003 DE-627
005 20241126225217.0
007 cr uuu---uuuuu
008 061017s2005 gw |||||o 00| ||eng c
024 7 |a 10419/127239  |2 hdl 
035 |a (DE-627)51880724X 
035 |a (DE-576)9518807248 
035 |a (DE-599)GBV51880724X 
035 |a (OCoLC)836420984 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
044 |c XA-DE 
084 |a 17  |2 sdnb 
084 |a C70  |a C72  |2 jelc 
100 1 |a Hofbauer, Josef  |d 1956-  |e VerfasserIn  |0 (DE-588)171433076  |0 (DE-627)061633488  |0 (DE-576)132227827  |4 aut 
245 1 0 |a Brown-von-Neumann-Nash dynamics  |b the continous strategy case  |c Josef Hofbauer, Jörg Oechssler and Frank Riedel 
264 1 |a Heidelberg  |b University of Heidelberg, Department of Economics  |c December 14, 2005 
300 |a 1 Online-Ressource (circa 33 Seiten) 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
490 1 |a Discussion paper series / Universität Heidelberg, Department of Economics  |v no. 424 
520 |a In John Nash’s proofs for the existence of (Nash) equilibria based on Brouwer’s theorem, an iteration mapping is used. A continuous- time analogue of the same mapping has been studied even earlier by Brown and von Neumann. This differential equation has recently been suggested as a plausible boundedly rational learning process in games. In the current paper we study this Brown-von Neumann-Nash dynamics for the case of continuous strategy spaces. We show that for continuous payoff functions, the set of rest points of the dynamics coincides with the set of Nash equilibria of the underlying game. We also study the asymptotic stability properties of rest points. While strict Nash equilibria may be unstable, we identify sufficient conditions for local and global asymptotic stability which use concepts developed in evolutionary game theory. 
538 |a Systemvoraussetzungen: Acrobat Reader. 
650 7 |8 1.1\x  |a Lernprozess  |0 (DE-627)09137507X  |0 (DE-2867)12619-2  |2 stw 
650 7 |8 1.2\x  |a Nichtkooperatives Spiel  |0 (DE-627)091380065  |0 (DE-2867)15450-1  |2 stw 
650 7 |8 1.3\x  |a Theorie  |0 (DE-627)091394902  |0 (DE-2867)19073-6  |2 stw 
650 4 |a learning in games  |7 (dpeaa)DE-206 
650 4 |a evolutionary stability  |7 (dpeaa)DE-206 
650 4 |a BNN  |7 (dpeaa)DE-206 
655 4 |0 (DE-206)24  |a Arbeitspapier  |5 DE-206 
655 4 |0 (DE-206)34  |a Graue Literatur  |5 DE-206 
700 1 |a Oechssler, Joerg  |e VerfasserIn  |0 (DE-588)118045083  |0 (DE-627)509801927  |0 (DE-576)291684483  |4 aut 
700 1 |a Riedel, Frank  |d 1968-  |e VerfasserIn  |0 (DE-588)12139526X  |0 (DE-627)081280254  |0 (DE-576)170356663  |4 aut 
810 2 |a Universität Heidelberg  |b Wirtschaftswissenschaftliche Fakultät  |t Discussion paper series  |v no. 424  |9 42400  |w (DE-627)505754274  |w (DE-576)281296995  |w (DE-600)2217357-2  |7 am 
856 4 0 |u http://hdl.handle.net/10419/127239  |x Resolving-System  |3 Volltext 
856 4 0 |u http://www.awi.uni-heidelberg.de/publications/papers/dp424.pdf  |x Verlag  |3 Volltext 
951 |a BO 
992 |a 20201102 
993 |a Article 
994 |a 2005 
998 |g 118045083  |a Oechssler, Joerg  |m 118045083:Oechssler, Joerg  |d 180000  |e 180000PO118045083  |k 0/180000/  |p 2 
999 |a KXP-PPN51880724X  |e 3791156071 
BIB |a Y 
JSO |a {"origin":[{"publisherPlace":"Heidelberg","dateIssuedKey":"2005","publisher":"University of Heidelberg, Department of Economics","dateIssuedDisp":"December 14, 2005"}],"title":[{"title_sort":"Brown-von-Neumann-Nash dynamics","subtitle":"the continous strategy case","title":"Brown-von-Neumann-Nash dynamics"}],"id":{"hdl":["10419/127239"],"eki":["51880724X"]},"person":[{"given":"Josef","family":"Hofbauer","role":"aut","display":"Hofbauer, Josef","roleDisplay":"VerfasserIn"},{"family":"Oechssler","given":"Joerg","display":"Oechssler, Joerg","roleDisplay":"VerfasserIn","role":"aut"},{"display":"Riedel, Frank","roleDisplay":"VerfasserIn","role":"aut","family":"Riedel","given":"Frank"}],"name":{"displayForm":["Josef Hofbauer, Jörg Oechssler and Frank Riedel"]},"relMultPart":[{"title":[{"title_sort":"Discussion paper series / University of Heidelberg, Department of Economics","title":"Discussion paper series / University of Heidelberg, Department of Economics"}],"pubHistory":["Nr. 326.2000-no. 691 (2020)"],"part":{"number":["no. 424"],"number_sort":["42400"]},"titleAlt":[{"title":"AWI discussion paper series"},{"title":"Discussion papers online"}],"type":{"media":"Online-Ressource","bibl":"serial"},"disp":"Discussion paper series / Universität Heidelberg, Department of Economics","note":["Frühere Jahrgänge online nicht mehr verfügbar","Gesehen am 01.12.2020"],"recId":"505754274","language":["ger","eng"],"corporate":[{"role":"aut","roleDisplay":"VerfasserIn","display":"Universität Heidelberg"},{"roleDisplay":"Herausgebendes Organ","display":"Alfred-Weber-Institut für Wirtschaftswissenschaften","role":"isb"}],"origin":[{"dateIssuedKey":"2000","publisher":"[Verlag nicht ermittelbar]","dateIssuedDisp":"2000-2020","publisherPlace":"Heidelberg"}],"id":{"hdl":["10419/127204"],"zdb":["2217357-2"],"eki":["505754274"]},"dispAlt":"Universität Heidelberg / Wirtschaftswissenschaftliche Fakultät: Discussion paper series","physDesc":[{"extent":"Online-Ressource"}]}],"physDesc":[{"extent":"1 Online-Ressource (circa 33 Seiten)"}],"type":{"media":"Online-Ressource","bibl":"book"},"language":["eng"],"recId":"51880724X"} 
SRT |a HOFBAUERJOBROWNVONNE1420