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Zi Yang Kang

@ziyangkang.bsky.social

Economist + assistant professor at the University of Toronto

369 Followers  |  289 Following  |  24 Posts  |  Joined: 22.06.2023  |  2.5755

Latest posts by ziyangkang.bsky.social on Bluesky

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Nuffield Postdoctoral Research Fellowships Deadline: Tuesday, 30 September 2025

The @nytimes.com says: "The Bull Market for Economists Is Over." www.nytimes.com/2025/07/28/b....

But Oxford Econ Dept & Nuffield College continue to offer their prestigious 3-year postdoc in economics! πŸ‘ 🎯

Deadline 🚨 30 September 🚨 to get offer by Xmas πŸŽ„: economics.web.ox.ac.uk/nuffield-pos...

29.07.2025 09:23 β€” πŸ‘ 11    πŸ” 7    πŸ’¬ 0    πŸ“Œ 0

@skyview.social unroll please πŸ™

03.12.2024 18:32 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

20/ Finally, perhaps the most important thing: Mitch is also a wonderful human being and colleague.

Hire him and find out for yourself! ☺️

Mitch's JMP: www.mitchellwatt.com/files/toppin....

Our other paper: www.mitchellwatt.com/files/OIKR.pdf.

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

19/ Outside of these two papers, Mitch has a ton of other work, including:

- a paper (R&R at ReStud) with Paul Milgrom
- an empirical(!) paper with @johnjhorton.bsky.social and @shoshievass.bsky.social
- his own papers

Check out his long CV here: www.mitchellwatt.com/files/Mitche....

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

18/ By solving these, we also derive other results in the papers, including:

- comparative statics with respect to redistributive weights
- results on how valuable *preventing* topping up is to the social planner
- extensions with budget constraints and equilibrium effects

03.12.2024 18:16 β€” πŸ‘ 3    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

17/ Summarizing these technical difficulties for my fellow nerds:

Mitch's JMP πŸ‘‰ topping up allowed πŸ‘‰ social planner's problem = convex program with FOSD constraints.

Our other paper πŸ‘‰ topping up not allowed πŸ‘‰ social planner's problem = convex program with SOSD constraints.

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0
Explicit expression for one of the Lagrangian multipliers.

Explicit expression for one of the Lagrangian multipliers.

Explicit expression for another of the Lagrangian multipliers.

Explicit expression for another of the Lagrangian multipliers.

16/ The analysis is tricky because the outside option of each consumer depends on his demand type.

We overcome this by guessing Lagrangian multipliers and verifying that they are optimal.

It took us many guesses and sleepless nights, but now we can write them out:

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

15/ Also, this result concerns the social planner's *marginal* incentives to intervene, but it doesn't tell us what the *global* optimum is.

To do that, we develop mechanism design tools.

03.12.2024 18:16 β€” πŸ‘ 3    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0
Sufficient statistics for when to intervene (Mitch's JMP).

Sufficient statistics for when to intervene (Mitch's JMP).

14/ Of course, this assumes that you want to redistribute to consumers with the lowest demand.

There are cases (think disability care) where you might want to redistribute to consumers with the highest demand.

Our result covers these cases too.

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

13/ So, on the margin, the cash transfer effect dominates. This means that a sufficient statistic for when it's optimal to intervene is the *average* social value of a dollar to consumers.

Intervention is optimal if + only if this exceeds the shadow cost of that dollar!

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

12/ We use a first-order approach to bound these effects (quantity distortion vs cash transfer).

We show that an Ξ΅ quantity of a free public option leads to:
- an O(Ξ΅^1.5) πŸ‘† in consumer utility from quantity distortion
- an O(Ξ΅) πŸ‘† in consumer utility from cash transfer

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

11/ Since you want to redistribute to low-demand consumers, this is the best targeting that you could hope for.

With linear subsidies, there would have been πŸ‘† quantity distortion for *all* consumers.

03.12.2024 18:16 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

10/ Why? When topping up is allowed (Mitch's JMP), having a tiny quantity of a free public option results in:

(1) πŸ‘† quantity distortion for low-demand consumers
(2) 🚫 quantity distortion for high-demand consumers
(3) πŸ’΅ cash transfer (= price of public option) to all consumers

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

9/ So when is it optimal to intervene with nonlinear subsidies?

When you're trying to redistribute to consumers with lower demand: if + only if it’s optimal to intervene with a *free public option*.

Note that we would've gotten the wrong answer by focusing on linear subsidies!

03.12.2024 18:16 β€” πŸ‘ 3    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

8/ It turns out that whether consumers have the ability to top up or not drastically affects the analysis.

So, Mitch's JMP πŸ‘‰ topping up is allowed.

Our other paper πŸ‘‰ topping up is not allowed.

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

7/ And why do we have two papers rather than one? Because housing is different from health care!

You cannot top up your public housing unit by renting more space privately.

But you can top up your public health care with visits to private doctors/clinics.

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

6/ So what makes our take on them new?

(A) Motivated by instruments we see (e.g., free public option), we allow for *nonlinear* subsidies.

(B) Unlike much (most!) of mechanism design, outside options are *not* zero (everyone can always consume their laissez-faire allocations).

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

5/ Of course, we are far from the first to ask these questions.

There are many excellent papers (e.g., in public finance) that have examined them!

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0
Example of how optimal interventions can be summarized.

Example of how optimal interventions can be summarized.

4/ In each of these two papers, we answer these questions by:

(1) Developing "sufficient statistics" that give necessary + sufficient conditions to intervene.

(2) Building new mechanism design tools to figure out optimal interventions, which we can cutely summarize like this.

03.12.2024 18:16 β€” πŸ‘ 3    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

3/ But is this optimal? Specifically:

(1) *When* should governments intervene with these instruments?

(2) *How* should governments optimally design these instruments?

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

2/ Here's the gist: Governments often redistribute by intervening in markets such as housing and health care.

Common instruments for interventions include a baseline "public option" (think public housing/healthcare) and subsidy programs (like private subsidies).

03.12.2024 18:16 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0
Mitch's JMP: Optimal Redistribution Through Subsidies

Mitch's JMP: Optimal Redistribution Through Subsidies

Our other paper: Optimal In-Kind Redistribution

Our other paper: Optimal In-Kind Redistribution

1/ My co-author @mitchwatt.bsky.social is on the #EconJobMarket this year.

Mitch is an applied theorist interested in market design, IO, and public policy.

I happen to know his #JMP and its companion paper very well. πŸ˜‡

πŸ§΅πŸ‘‡ with an overview of both papers.

#EconSky

03.12.2024 18:16 β€” πŸ‘ 15    πŸ” 5    πŸ’¬ 2    πŸ“Œ 2

I think the bigger point is just that there are other reasons for intervention in markets than for the sake of economic efficiency (equity being an example here).

02.12.2024 17:17 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

The running list of IO job market candidates for 2024-2025 is live!

Fill this out to add your info: forms.gle/upCQ4Ez7sBTP...

Running list here: shoshanavasserman.com/io-jmc/

07.11.2024 19:07 β€” πŸ‘ 51    πŸ” 26    πŸ’¬ 3    πŸ“Œ 6
American Economic Association

Pitt's econ department has 3 junior faculty positions! One of them has a preference for a theorist.
Listings link: www.aeaweb.org/joe/listings...,

03.10.2023 16:06 β€” πŸ‘ 14    πŸ” 17    πŸ’¬ 0    πŸ“Œ 1
Post image

Not-so-bluesky

30.06.2023 12:26 β€” πŸ‘ 3    πŸ” 1    πŸ’¬ 0    πŸ“Œ 0

I’d bet that graduating students feel the same way too! πŸ₯Ί

22.06.2023 02:34 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

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