Introducing Pinky

So given that the new missus has moved into my life, and my home (and to add some cheese “and my hort”), I think it is quite appropriate that she moves into this blog also. You might have already seen her first post, which she wrote this afternoon. You can expect her to be more prolific in the days going forward. Till then, you can read her old writings here.

This might be a good opportunity to tell the world about how we met. It all started out with this post on my blog (I seriously miss those good old pre-twitter days, when I could peacefully write blog posts that were one line long; keeping with the tradition, the missus refuses to get onto twitter). And then she happened to like this one. Orkut.. GTalk.. Tharkari.. Gandhi Bazaar.. … ………………… Marriage.

Coming back, both of us will be writing here, on the same page. The same feed that you are currently subscribing to will enable you to subscribe to both our writings. The first line of the feed has the name of the author, and in any case I think our writing styles are so different that you should be able to figure out who has written what.

Diminishing Value of a Red Card

Often when we see players being sent off AND penalty kick being awarded in the event of an illegal stop of a goal-bound ball, Baada and I have thought that the punishment is too harsh. That for stopping one goal, the team effectively gives away the goal (conversion rate of penalties is high) and also loses a player (sometimes the goalie) for the rest of the game.

Now, after last night’s strategic hand ball by Luis Suarez, people are complaining that the punishment is not enough. Though it was a split-second instinctive decision by Suarez to handball, even if he were to replay the incident in his head and analyze the costs and benefits, I’m sure he would’ve done what he did. This clearly contradicts what I mentioned in the first paragraph.

The main issue here is with the value of a red card  at various stages of a game. The red card has intrinsic value – of being suspended for the next game. In addition to this, the red card leaves the team one short for the rest of the game, and so it is clear that the later a red card is given out, the lesser the disadvantage it causes the team because they’ve to play for lesser time with a man short.

What makes Suarez’s decision more logical is the time value of a one-goal lead. The lesser the time left in the game, the more the value of the one-goal lead since there is lesser time for which it needs to be protected. And in this case, the handball occurred on what might have been the last “kick” in the game, and so the value of the one-goal lead was really high.

The earlier this incident had occurred in the match, the less would’ve been Suarez’s incentive to handball – more time to win back the conceded goal and more time to play a man short if redcarded. At the time when it actually occurred, Suarez would’ve been a fool to NOT handball. The payoffs were heavily loaded in favour of handballing and he did it.

People on twitter are suggesting that rules be changed, that the goal should’ve been awarded anyway instead of the penalty and stuff, but considering that the same punishment costs much more if given out earlier in the game, I think the current punishment is appropriate. The excess of this punishment in earlier stages of the game is compensated by the punishment being too little in the latter stages, and on an average I think it is appropriate.

Let’s continue to keep football simple and not clutter it with Duckworth-Lewis kind of rules. And congrats to Suarez for taking the most logical decision at the moment. It is indeed as great a “sacrifice” as Ballack’s tactical yellow card against Korea in the 2002 semis.

And I feel sad for Asamoah Gyan. But then again, with Ghana being in the knockout stages solely on the merit of two Gyan penalties, it is only appropriate that they are going out nowon the demerit of Gyan’s missed penalty.

Relationships and the Prisoner’s Dilemma Part Deux

Those of you who either follow me on twitter or are my friends on GTalk will know that my earlier post on relationships and the prisoner’s dilemma got linked to from Cheap Talk, the only good Game Theory blog that I’m aware of. After I wrote that post, I had written to Jeffrey Ely and Sandeep Baliga of Cheap Talk, and Jeff decided to respond to my post.

It was an extremely proud moment for me and I spent about half a day just basking in the glory of having been linked from a blog that I follow and like. What made me prouder was the last line in Jeff’s post where he mentioned that my blog post had been part of his dinner conversation. I’m humbled.

So coming to the point of this post. Jeff, in his post, writes:

Some dimensions are easier to contract on.  It’s easy to commit to go out only on Tuesday nights.  However, text messages are impossible to count and the distortions due to overcompensation on these slippery-slope dimensions may turn out even worse than the original state of affairs.

I argue that it is precisely this kind of agreements that leads to too much engagement. The key, I argue, is to keep things loosely coupled and uncertain; and this, I say, doesn’t apply to only romantic relationships. I argue in favour of principles, as opposed to rules. Wherever the human mind is concerned, it is always better to leave room for uncertainty. Short term volatility decreases the chances of long-term shocks.

So if you contract to date only on Tuesday nights, and on a certain Thursday both of you get a sudden craving for each other. In a rule-based system, you’d have to wait till Tuesday to meet, and that would mean that you’d typically spend the next five days in high engagement, since you wouldn’t want to let go given the craving. There is also the chance that when you finally meet, there has been so much build-up that it leaves you unsettled.

The way to go about this is to not make rules and just make do with some simple principles regarding the engagement, and more importantly to keep things flexible. If you have a “I won’t call you when you’re at work” rule, and there is something you really need to say, this leads to wasted mind space since you’ll be holding this thought in the head till the other person is out of office, and thus give less for other things you need to do in that time.

You might ask me what principles one can use. I don’t know, and there are no rules governing principles. It is entirely to do with the parties involved and what they can agree upon. A simple principle might be “if I don’t reply to your text message it doesn’t mean I don’t love you”. You get the drift, I suppose. And the volatility, too. (ok I’m sorry about that one)

The mechanism design problem for scaling down that Jeff talks about is indeed interesting. His solution makes sense but it assumes the presence of a Trusted Third Party. Even if one were to find one such, and that person understands Binary Search techniques, it might take too much effort to find the level of interaction. I wonder if the solution to scaling down also is the Bilateral Nudge (will talk about this in another post).