Complete Conditional Type Structures (Extended Abstract)

Autor:	De Vito, Nicodemo
Rok vydání:	2023
Předmět:	Computer Science - Computer Science and Game Theory Economics - Theoretical Economics
Zdroj:	EPTCS 379, 2023, pp. 173-184
Druh dokumentu:	Working Paper
DOI:	10.4204/EPTCS.379.15
Popis:	Hierarchies of conditional beliefs (Battigalli and Siniscalchi 1999) play a central role for the epistemic analysis of solution concepts in sequential games. They are practically modelled by type structures, which allow the analyst to represent the players' hierarchies without specifying an infinite sequence of conditional beliefs. Here, we study type structures that satisfy a "richness" property, called completeness. This property is defined on the type structure alone, without explicit reference to hierarchies of beliefs or other type structures. We provide sufficient conditions under which a complete type structure represents all hierarchies of conditional beliefs. In particular, we present an extension of the main result in Friedenberg (2010) to type structures with conditional beliefs. Comment: In Proceedings TARK 2023, arXiv:2307.04005. arXiv admin note: substantial text overlap with arXiv:2305.08940
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.05630 Zobrazit plný text záznamu View this record from Arxiv