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Two firm two consumer economy efficiency (two goods)
Hi,

For pareto efficiency (given everything is convex, returns to scale are <=1)

1. MRS of all consumers=Marginal rate of transformation (slope of production possibilites frontier)=p(x)/p(y)

2. MRTS (Rate of technical substitution) for all producers=wage rate/rental rate

Is it necessary that all conditions in 1 and 2 are equal among themselves too? As in, is MRS=MRTS=...==...?

Also, for 2nd welfare theorem to hold, do we require the PPF to be a convex set, or each individual production functions to be convex set?

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New limit imposed on max. number of addresses per message?

Hello,

Gmail used to have a limit of 500 recipients per email message (or 100 if sent from an email client program).

https://support.google.com/mail/answer/22839?hl=en

It appears that maybe they just changed that limit from 500 to about 10. They still claim it is 500, but I don't think so!

I send weekly emails to a list of about 50 addresses. All was fine, until this week. This week's message bounced saying that the message was "blocked" to every single address, including my own. I received 50+ bounces, one per address.

After a few days of retrying, and looking for an explanation, I finally resorted to sending separate emails to everyone on the list, and they all went through, no problem. Golly.

But I got lazy near the end of the list, and my last message was addressed to 11 recipients -- and that one bounced. When I split it into two messages with half as many recipients each, they both went through. Therefore, I conclude that someone at Google has throttled the threshold down from 500 to about 10.

When the limit is exceeded, the bounce message is cryptic, saying little more than the fact that the message has been "blocked", and refers to https://support.google.com/mail/answer/69585 . All the bounces look the same and came from googlemail.com (I'm in the USA), even for the non-Gmail recipients. I think the messages never left Google and were rejected internally by Google.

For example:

Final-Recipient: rfc822; someone@comcast.net
Action: failed
Status: 5.0.0
Diagnostic-Code: smtp; Message rejected. See https://support.google.com/mail/answer/69585 for more information.

followed by a severely truncated version of my email message, and no further diagnostic information.

In case it matters, messages were sent from Gmail's web interface (client software not involved), on Chrome.

What's going on? Has there been an announcement about such a change? Does it sound like a bug?

Thanks,

Andy

-----------------------

Hi Andy,

That has been happening to me as well. It started a several months ago, but I would split my list to 40 recipients and all would be fine. Then after a few days, no problem I can send out to my email group of 125 with no problem until it happens again. Recently, some messages are blocked and others aren't. Some group messages retry delivery over a period of time which results in multiple blocked replies for each recipient. At first I thought it was because of the graphics in my message, but even that is not consistently blocked.

I find if I send to small group of 2 or 3, it's fine. But that is too much of a hassle.

Once I received a link that suggested I create a google group. But that is not what I want to do. My group emails are notifications and I want to keep it as such.

And I don't want to subscribe to an email client.

Yes, it appears the messages are blocked internally by google.

Andy, I'm glad you've posted as I want to understand what is going on, too.

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