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Theory of dynamic processes with several competing actors that try to achieve some goal in a strategic way.
4
votes
1
answer
168
views
Optimal strategy in repeated cake-cutting
Alice and Bob play the famous game of divide and choose $n$ times with $n$ identical cakes. Each time, Alice cuts the cake to two pieces, and Bob chooses the piece he prefers. Alice does not know Bob' …
4
votes
1
answer
80
views
Minimal-envy land division
There is a land divided to $D$ districts.
There are $C$ citizens.
We want to divide the land to the citizens, such that each citizen receives a single land-plot in a single district.
Each citizen p …
7
votes
2
answers
220
views
Is it more effective to vote for a woman?
A certain political party wants to encourage women to participate in their primary elections, so they decide, that the 4th position is reserved for a woman. That is, if there is no woman in the top 4 …
10
votes
3
answers
232
views
Fair division of two-dimensional cake
I am interested in procedures for fair division of land (i.e. envy-free division, or at least proportional division).
In contrast to the well-studied cake-division problem, land-division is two-dimen …
11
votes
2
answers
568
views
Fair cake-cutting when players join late
The usual statement of the fair cake-cutting problem assumes that all $n$ players get their share at the same time. However, in many cases the players arrive incrementally. For example, we may divide …
8
votes
1
answer
331
views
High maths for game theory
I am a starting Ph.D. student in computer science, and I am trying to understand some classic game-theory papers, such as those by Nash, Kalai and Smorodinsky. But I find it hard to understand the m …
7
votes
1
answer
156
views
voting scheme for peaceful coexistence
Many areas in the world suffer from conflicts between two groups (usually ethnic or religious). For the purpose of this question, I assume that most people of both sides want to live in peace, but the …
1
vote
0
answers
93
views
Stable matching of producers, consumers and objects
Has the following version of the stable matching problem been studied?
There are $k$ types of objects.
There are $n$ producers, each of whom can produce a single object of any type, and has a persona …