Arbeitspapier
Farkas' lemma and complete indifference
In a finite two player game consider the matrix of one player's payoff difference between any two consecutive pure strategies. Define the half space induced by a column vector of this matrix as the set of vectors that form an obtuse angle with this column vector. We use Farkas' lemma to show that this player can be made indifferent between all pure strategies if and only if the union of all these half spaces covers the whole vector space. This result leads to a necessary (and almost sufficient) condition for a game to have a completely mixed Nash equilibrium. We demonstrate its usefulness by providing the class of all symmetric two player three strategy games that have a unique and completely mixed symmetric Nash equilibrium.
- ISBN
-
978-3-949224-12-6
- Sprache
-
Englisch
- Erschienen in
-
Series: BERG Working Paper Series ; No. 191
- Klassifikation
-
Wirtschaft
Noncooperative Games
- Thema
-
completely mixed strategies
mixed Nash equilibria
Farkas’
lemma
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Herold, Florian
Kuzmics, Christoph
- Ereignis
-
Veröffentlichung
- (wer)
-
Bamberg University, Bamberg Economic Research Group (BERG)
- (wo)
-
Bamberg
- (wann)
-
2024
- Letzte Aktualisierung
-
10.03.2025, 11:41 MEZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- Arbeitspapier
Beteiligte
- Herold, Florian
- Kuzmics, Christoph
- Bamberg University, Bamberg Economic Research Group (BERG)
Entstanden
- 2024
Ähnliche Objekte (12)
Das Farkas-Lemma
Behavioral Indifference Curves
Can indifference make the world greener?
Structural Indifference in Normal Form Games
Aggregation of Semiorders: Intransitive Indifference Makes a Difference
A Theory of Indifference Based on Status-Seeking Behaviour
"Itô's Lemma" and the Bellman equation: An applied view
Pairwise partition graphs and strategy-proof social choice in the exogenous indifference class model
"Ito's Lemma" and the Bellman equation for poisson processes : an applied view
Compactness in spaces of inner regular measures and a general Portmanteau lemma
"Ito's Lemma" and the Bellman equation for Poisson processes: An applied view
A Sharing Model of the Household: Explaining the Deaton-Paxson Paradox and Computing Household Indifference Scales
Das Farkas-Lemma
Behavioral Indifference Curves
Can indifference make the world greener?
Structural Indifference in Normal Form Games
Aggregation of Semiorders: Intransitive Indifference Makes a Difference
A Theory of Indifference Based on Status-Seeking Behaviour
"Itô's Lemma" and the Bellman equation: An applied view
Pairwise partition graphs and strategy-proof social choice in the exogenous indifference class model
"Ito's Lemma" and the Bellman equation for poisson processes : an applied view
Compactness in spaces of inner regular measures and a general Portmanteau lemma
"Ito's Lemma" and the Bellman equation for Poisson processes: An applied view
A Sharing Model of the Household: Explaining the Deaton-Paxson Paradox and Computing Household Indifference Scales
Das Farkas-Lemma
Behavioral Indifference Curves
Can indifference make the world greener?
Structural Indifference in Normal Form Games
Aggregation of Semiorders: Intransitive Indifference Makes a Difference
A Theory of Indifference Based on Status-Seeking Behaviour
"Itô's Lemma" and the Bellman equation: An applied view
Pairwise partition graphs and strategy-proof social choice in the exogenous indifference class model
"Ito's Lemma" and the Bellman equation for poisson processes : an applied view
Compactness in spaces of inner regular measures and a general Portmanteau lemma
"Ito's Lemma" and the Bellman equation for Poisson processes: An applied view