Vladyslav Nora







Welcome!

I am Assistant Professor of Economics in Nazarbayev University in Astana. I do micro theory, industrial organization, and applied game theory.

Here you can find some of my papers with brief explanations. Note that these are neither abstracts, nor rigorous descriptions of papers! (I hope to add the remaining work soon).

You can reach me at vladyslav.nora@nu.edu.kz.

Research




"Efficient Capital Allocation in Public Good Networks" with Hiroshi Uno, 2018.

Alice, Bob, and Charlie work in the econ department. They develop original research projects, and join projects of colleagues. Each one decides how many projects to develop, and randomly joins projects of each colleague. Economists’ enjoy having more projects, but developing projects is costly. Although random, joining existing projects is free. So, projects are local public goods. One day the department hires a research assistant who makes developing new projects cheaper. Now a department head faces a problem: whom to allocate the RA in order to increase welfare?

We focus on a network aspect of the problem: how does the structure of spillovers shape efficient allocation? For instance, suppose Alice creates the most spillovers: both Bob and Charlie are likely to join her projects and vice versa. However, Bob and Charlie do not work together that often. Should Alice get the RA?

Here is a crux tradeoff: Alice creates the highest spillovers, but also free-rides the most, developing fewer original projects. Our result, based on a first-order approximation to equilibrium, characterizes efficient allocation in terms of the degree of relative risk aversion and Bonacich centralities of agents in a spillover network. In particular, it implies that Alice should get the RA only if our economists are not very risk averse. Otherwise Bob or Charlie get the RA.

The sketch is from the series by Me Kyeoung Lee, depicting traditional convenience stores throughout Korea. Me Kyeoung says: "Many of these shops are now closing down and it makes me sad. I have a lot of fond memories of visiting them with my mother and grandmother when I was younger. To me, they are warm and show a lot of love."

Surely, Korea is not the only country that succumbed to the efficiency of modern retail chains. Walmart, Target, Carrefour, Aldi, Lidl etc. are behind every corner in the developed countries. Many producers rely heavily on these chains for sales, and retailers use it by squeezing producers’ margins.

Using Bayesian persuasion framework, we ask how increasing buyer power affects one aspect of producer-retailer relationships – sharing of product information. Often, a producer knows more about its product and can help to set the right retail price. However, transparency when dealing with powerful retailers might be a bad idea. Subsequent aggressive bargaining threatens to leave a producer with next to nothing. So, in contrast to when mainly selling through mom-and-pop shops, producers should be much more reluctant to share information when selling through large chains. We show that in equilibrium producers fully disclose their demand information only when the market share of powerful retailers is small.

We empirically explore this idea using non-binding retail price recommendations (RPRs) as a proxy for information sharing, and a fraction of a product’s sales through chain retailers as a measure of buyer power in a product’s market. The interesting fact about RPRs is that you can find them on some products, but not on others. So, we went around grocery stores in Korea and recorded which products had RPRs, and which did not. It appears, that when sales of a product rely heavily on chain retailers, this product is less likely to have a recommended price. Seems like buyer power may discourage use of RPRs, and hence, potentially, hinder information sharing. Indeed, along with the steady demise of mom-and-pops shops, RPRs are becoming an oddity these days.

Kim Ki-duk once complained: "Countless films won’t get a chance to screen due to politics at multiplex theater chains". If you did not hear about Kim, this beautiful movie can be a great intro. So, what does the famous filmmaker mean?

A new movie is distributed to theaters by a distribution company (20th Century Fox, Universal etc) that also does marketing and advertisement. Distributers and theaters agree how to share the box office (usually 50/50, movie demand is uncertain so revenue sharing allows a risk sharing). But it might be a good idea for a distributor to buy a theater: You get to keep all the revenues from own movies, and make money on showing movies of other distributors. Here is a controversial part. You can show the rival movies less often in your theaters (aka foreclose). This is a problem if many multiplex chains are integrated with one of the major distributors. Independent movies get squeezed away from screens and consumers suffer. That is what Kim Ki-duk is saying. In the paper with In Kyung we explore these concerns.

Our findings are surprising. Although, we confirm that integrated theaters favor own movies when allocating seats, there is something else. It appears that despite this, integrated theaters might be doing a better job in allocating seats than independent ones (those that are not owned by distributors). Here is a simple example of how it may happen. Imagine that 36 people want to see movie A, 34 - movie B, and 10 - movie C, and the theater has 100 seats. But, of course, the exact demand is not known in advance. Then something like the following happens. If a theater is integrated with movie A, it allocates seats 50-35-15 (50 to movie A, 30 to movie B, 20 to movie C, assume seats can be allocated in any way). If it is independent it allocates 34-33-33. So, integrated one turns away no one, whereas independent turns away 2 people from movie 1, and 1 person from movie 2. The two panels show a percentage of turned away consumers for theaters with 8 screens, under the assumption that the aggregate demand reaches 70 percent of all seats in a theater (of course we never observe real theater level demand and therefore have to use indirect estimates). We see that on average integrated theaters turn away roughly 30 percent fewer consumers: they choose a seat allocation that matches the demand better.

It appears that independent theaters might just suck in forecasting demand! Indeed, for integrated theaters forecasting demand is more important because they have more to loose when misallocating the seats.

This time Kim Ki-duk is not telling us the full story.

"Saddle Functions and Robust Sets of Equilibria" with Hiroshi Uno, Journal of Economic Theory, 2014.

Many of my favorite applications of game theory touch upon the surprising effects of changes in players' information. Electronic Mail Game of Rubinstein is a fun example (the idea alludes to Two Generals' Problem formulated in CS literature in 70s). The observation is that "tiny" changes in the information structure of a game can dramatically change equilibrium behavior. It appears that it's hard to guarantee that an equilibrium is "robust" to such changes. The paper with Hiroshi explores the notion of "robustness to incomplete information" in games which we call (in a bluntly non-sexy way) games with Saddle Function. It brings together the literature on robustness, team-maximin equilibria, and potential games. Below is a simple example.

Alice and Bob are in love. To send a secret message to Bob, Alice chooses one of the communication channels, and to receive the message Bob has to listen to the right channel. Unfortunately, lovers did not agree in advance which channel to use. To make things worse, jealous Eve is determined to intercept the message, and chooses a channel to listen to. Alice and Bob maximize the probability of secretly transmitting the message, whereas Eve minimizes this probability.

Of course, if in equilibrium Alice and Bob always choose the same channel, they cannot keep their communication private. However, there is a pair of mixed strategies, one for each, which guarantees them the highest probability of secret communication. Moreover, these strategies are part of some equilibrium. Is this "best" equilibrium robust to small changes in the information that players have? Our main result based on the techniques from potential games implies, in particular, that whenever the game has almost complete information, Alice and Bob can obtain payoffs close to the ones in the best equilibrium.

Curriculum Vitae

Assistant Professor of Economics in Nazarbayev University since 2014.

Ph.D. in Economics, 2010-2014 from Center for Operations Research and Econometrics (CORE), UCL.

M.A. in Economics, 2007-2009 from Kyiv School of Economics.

You can download my CV here.

Photo by Andrey Korotich. Check out his work at andreykorotich.com.