Online Cake Cutting (published version)

Online Cake Cutting

We propose an online form of the cake cutting problem. This models situations where players arrive and depart during the process of dividing a resource. We show that well known fair division procedures like cut-and-choose and the Dubins-Spanier moving knife procedure can be adapted to apply to such online problems. We propose some desirable properties that online cake cutting procedures might p...

Incentive Compatible Two Player Cake Cutting

We characterize methods of dividing a cake between two bidders in a way that is incentive-compatible and Pareto-efficient. In our cake cutting model, each bidder desires a subset of the cake (with a uniform value over this subset), and is allocated some subset. Our characterization proceeds via reducing to a simple one-dimensional version of the problem, and yields, for example, a tight bound o...

Resource-monotonicity and Population-monotonicity in Connected Cake-cutting

In the classic cake-cutting problem (Steinhaus, 1948), a heterogeneous resource has to be divided among n agents with different valuations in a proportional way — giving each agent a piece with a value of at least 1/n of the total. In many applications, such as dividing a land-estate or a time-interval, it is also important that the pieces are connected. We propose two additional requirements: ...

A note on envy-free cake cutting with polynomial valuations

Article history: Received 20 May 2013 Received in revised form 7 July 2014 Accepted 9 July 2014 Available online xxxx Communicated by B. Doerr

Cake-Cutting is Not a Pie e of Cake