Are the Players in an Interactive Belief Model Meta-certain of the Model Itself?

06/22/2021
by   Satoshi Fukuda, et al.
0

In an interactive belief model, are the players "commonly meta-certain" of the model itself? This paper formalizes such implicit "common meta-certainty" assumption. To that end, the paper expands the objects of players' beliefs from events to functions defined on the underlying states. Then, the paper defines a player's belief-generating map: it associates, with each state, whether a player believes each event at that state. The paper formalizes what it means by: "a player is (meta-)certain of her own belief-generating map" or "the players are (meta-)certain of the profile of belief-generating maps (i.e., the model)." The paper shows: a player is (meta-)certain of her own belief-generating map if and only if her beliefs are introspective. The players are commonly (meta-)certain of the model if and only if, for any event which some player i believes at some state, it is common belief at the state that player i believes the event. This paper then asks whether the "common meta-certainty" assumption is needed for an epistemic characterization of game-theoretic solution concepts. The paper shows: if each player is logical and (meta-)certain of her own strategy and belief-generating map, then each player correctly believes her own rationality. Consequently, common belief in rationality alone leads to actions that survive iterated elimination of strictly dominated actions.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
09/23/2019

Informing a BDI Player Model for an Interactive Narrative

This work focuses on studying players behaviour in interactive narrative...
research
07/22/2019

Common Belief in Choquet Rationality and Ambiguity Attitudes – Extended Abstract

We consider finite games in strategic form with Choquet expected utility...
research
07/27/2017

Rationalizability and Epistemic Priority Orderings

At the beginning of a dynamic game, players may have exogenous theories ...
research
06/26/2002

Anticipatory Guidance of Plot

An anticipatory system for guiding plot development in interactive narra...
research
01/05/2017

Toward negotiable reinforcement learning: shifting priorities in Pareto optimal sequential decision-making

Existing multi-objective reinforcement learning (MORL) algorithms do not...
research
11/07/2017

Security Strategies of Both Players in Asymmetric Information Zero-Sum Stochastic Games with an Informed Controller

This paper considers a zero-sum two-player asymmetric information stocha...
research
09/10/2021

6MapNet: Representing soccer players from tracking data by a triplet network

Although the values of individual soccer players have become astronomica...

Please sign up or login with your details

Forgot password? Click here to reset