in case you haven't noticed

It’d be cool to use the opening lyrics of Ariana Grande’s 7th album lead single yes, and to be a title. And, in case you haven’t noticed, the music video is out today and it’s next level. You’ll just love it. And there’s a really cool rap cover version. Well, similar people attracts and us Arianators are as gifted and brilliant as usual. ‘i read it on the internet so it much be true’, ‘her ponytails looks better when it was a few cms higher’, ‘i mean who cares if she’s happy. i don’t want happy. i want art (rolling eyes).’, and look how ironic it is that for the main theme this single is displaying, YouTube is recommending one of those ‘mean comment’ videos right after. ...

January 12, 2024

obsession resolved

On the day trip to HangZhou, spending a day of void in the mountains, it’s like mindfulness refilled. Drop the obsession, problems would be gone.

January 11, 2024

'finally' over

Work expands so as to fill the time available for its completion.

January 10, 2024

complexity issues bring a fresh TCS talk to begin 2024

As a rookie, I dare not factorize and comment on such high level work. But basically…

January 9, 2024

mines is mine

Blackpink really do have nice resources. Their live version’s backup vocal though, is a little bit too loud.

January 8, 2024

yes, and?

2024 is going to be cute in various perspectives: new music! finally.

January 7, 2024

obsessively overkilling

Trailer of SHERLOCK.

January 6, 2024

dynamic persuasion and strategic search

It’s always a refreshing activity to start the morning with a MS paper - even better, a freshly published one right in Nov. 2023. Dynamic Persuasion and Strategic Search Yunfei (Jesse) Yao, Management Science 22 Nov 2023 ABSTRACT Consumers frequently search for information before making decisions. Because their search and purchase decisions depend on the information environment, firms have a strong incentive to influence it. This paper endogenizes the consumer’s information environment from the firm’s perspective and endogenizes the search decision from the consumer’s perspective. We consider a dynamic model where a firm sequentially persuades a consumer to purchase the product. The consumer only wishes to buy the product if it is a good match. The firm designs the information structure. Given the endogenous information environment, the consumer trades off the benefit and cost of information acquisition and decides whether to search for more information. Given the information acquisition strategy of the consumer, the firm trades off the benefit and cost of information provision and determines how much information to provide. This paper characterizes the optimal information structure under a general signal space. We find that the firm only smooths information provision over multiple periods if the consumer is optimistic about the product fit before searching for information. Moreover, if the search cost for the consumer is high, the firm designs the information such that the consumer will be certain that the product is a good match and will purchase it after observing a positive signal. If the search cost is low, the firm provides noisy information such that the consumer will be uncertain about the product fit but will still buy it after observing a positive signal. ...

January 5, 2024

a study in suspense and surprise - part II

Finished reading the paper Suspense And Surprise finally. Honestly, the paper itself is already a masterclass of organizing contents so as to achieve high informational utility. Following what we left yesterday, here’s the rest, and some closing thoughts before the end. Illustrations of Suspense-Opt. Info Policies In the simplest setting where there are only two states $\Omega = {A, B}$ (i.e. whether AGT or FRA would win in the world cup final), suspense maximizing belief martingale give rise to the followig dynamics. Say, starting from initial prior$\mu_A = \mu_B = 0.5$, at period $t$ the optimal belief (say, WLOG let’s consider one side of the world, $\mu_t \equiv \text{Pr}(A)$), either takes a high value $\mu_t = H_t > 1/2$ or low value $\mu_t = L_t = 1 - H_t$. Stepping onto the next period, there are two possible changes to the new belief $\mu_{t + 1}$ - with high possibility the agent observes additional confirmation - that the higher(lower) belief gets “confirmed” a little bit further, like $H_t \to H_{t +1}$ where $H_{t + 1} > H_t$ and vice versa for $L_t$. Alternatively with small possibility, a plot twist happens, $H_t \to L_{t + 1}$ and vice versa for $L_t$. ...

January 4, 2024

a study in suspense and surprise - part I

the model, and the principal’s problem part I

January 3, 2024