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Quota and population monotonicity across house sizes are incompatible for apportionment to four states
Lav R. Varshney
Apportionment converts fractional entitlements into integer seat allocations. Quota requires each state to receive the floor or ceiling of its standard quota, whereas population mo…
House-monotone multi-level apportionment has logarithmic quota discrepancy
Lav R. Varshney
Multi-level apportionment allocates integer seats through a hierarchy of groups. Schmidt-Kraepelin, Suksompong, and Wijaya proved that, at every fixed house size, lower and upper q…
A Difficulty in Controlling Blockchain Mining Costs via Cryptopuzzle Difficulty
Venkata Sriram Siddhardh Nadendla, Lav R. Varshney
Blockchain systems often employ proof-of-work consensus protocols to validate and add transactions into hashchains. These protocols stimulate competition among miners in solving cr…
A Game-Theoretic Approach to a Task Delegation Problem
Donya G. Dobakhshari, Lav R. Varshney, Vijay Gupta
We study a setting in which a principal selects an agent to execute a collection of tasks according to a specified priority sequence. Agents, however, have their own individual pri…
Beliefs in Decision-Making Cascades
Daewon Seo, Ravi Kiran Raman, Joong Bum Rhim +2
This work explores a social learning problem with agents having nonidentical noise variances and mismatched beliefs. We consider an -agent binary hypothesis test in which each a…