Guillermo Mosse

ok! in an hour I'll take a look at it

great

you can tell me if you want

cool!

sorry, $\gamma < \alpha + \sigma$

and work from there?

oh, you'd like to take $\beta < \alpha + \sigma$

(RHS is Right Hand Side, and LHS is Left Hand Side)

you know, if you prove the converse inequality, i.e., RHS $\leq$ LHS, then automatically you have $RHS \subseteq LHS$

right, I got that

so, you are right, the converse direction is not the trivial one

Hello! Feel free to talk if you want to discuss the exercise

I'll edit my answer.

About the first comment, $\alpha + \sigma =\underset{\eta < \sigma}{\lim} \alpha + \eta$ by definition of ordinal addition for limit ordinals. (Of course, it is also equal to $\alpha + \underset{\eta < \sigma}{\lim} \eta$)

@LeAnhDung, about the second comment, you are right! But the converse direction is easier, as you yourself noted. Maybe the author should have explicitely said that, anyway.

no problem!

oh! then get together and brainstorm

is it in groups, or you alone?

nope, but I'm open to listening to a concrete proposal for your project, when you have it

but it looks fun

I don't know; I just suggested a scenario where you can do some coding

maybe

right, but you should search for a scenario where a decision must be chosen repeatedly

maybe your group (are you in a group?) could do something similar but for another game

and it's really fun to code such a decision procedure

the bot who wins is the one who got the less amount of (accumulated) years in prison

the bots take decisions based on prior decisions made by both themselves and the other bots

and bots then play together in a kind of tournament

well, once I read that there are competitions where students code a bot that decides what action to choose

prisoner's *

Do you know the classical prisioner's dilemma?

What do you like?

Part of the project is to think of an idea, right?

are you doing applied or pure maths?

he doesn't actually expect for you to get results

but 1. clarifies it for me

2. Of course they can, but they shouldn't be expected to

Hey!

If you are an undergraduate, he is crazy; he can't expect for a student to publish a paper as homework.

published where? Or do you have to read and make an exposition about a published work?

what type of project? Are there any restrictions?