摘要: Abstract This paper studies potential games allowing the possibility that players have incomplete preferences and empty best-response sets. We define four notions of games, ordinal, generalized best-response, characterize them using cycle conditions. study Nash equilibria show set remains same when every player’s are replaced with smallest (best-response) relation or a completion it. Similar results established about strict ordinal games. Lastly, we examine relations among as well pseudo-potential
elsevier.com
sci-hub.se 参考文章(15)
Edward Szpilrajn, Sur l'extension de l'ordre partiel Fundamenta Mathematicae. ,vol. 16, pp. 386- 389 ,(1930) , 10.4064/FM-16-1-386-389
Sophie Bade, Nash equilibrium in games with incomplete preferences Economic Theory. ,vol. 26, pp. 309- 332 ,(2005) , 10.1007/3-540-29578-X_4
Nikolai S. Kukushkin, Best response dynamics in finite games with additive aggregation Games and Economic Behavior. ,vol. 48, pp. 94- 110 ,(2004) , 10.1016/J.GEB.2003.06.007
Robert J. Aumann, Utility Theory without the Completeness Axiom Econometrica. ,vol. 30, pp. 445- ,(1962) , 10.2307/1909888
Nikolai S. Kukushkin, Potential games: a purely ordinal approach Economics Letters. ,vol. 64, pp. 279- 283 ,(1999) , 10.1016/S0165-1765(99)00112-3
Efe A. Ok, Utility Representation of an Incomplete Preference Relation Journal of Economic Theory. ,vol. 104, pp. 429- 449 ,(2002) , 10.1006/JETH.2001.2814
Pradeep Dubey, Ori Haimanko, Andriy Zapechelnyuk, Strategic complements and substitutes, and potential games Games and Economic Behavior. ,vol. 54, pp. 77- 94 ,(2006) , 10.1016/J.GEB.2004.10.007
Kfir Eliaz, Efe A. Ok, Indifference or indecisiveness? Choice-theoretic foundations of incomplete preferences Games and Economic Behavior. ,vol. 56, pp. 61- 86 ,(2006) , 10.1016/J.GEB.2005.06.007
L. S. Shapley, Fred D. Rigby, Equilibrium points in games with vector payoffs Naval Research Logistics Quarterly. ,vol. 6, pp. 57- 61 ,(1959) , 10.1002/NAV.3800060107
Mark Voorneveld, Best-response potential games Economics Letters. ,vol. 66, pp. 289- 295 ,(2000) , 10.1016/S0165-1765(99)00196-2