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Multi-agent Decision Making COMP 4418 – Assignment 3 Due 25 Nov. 2020, 15:00 Total Marks: 50 Late Penalty: 10 marks per day Worth: 15% of the course Consider a resource allocation setting in which indivisible items are to be allocated to agents, and agents have positive and additive utilities over the items. Prove or disprove

Goal Deductive reasoning in language as close as possible to full FOL ! ! ¬,∧,∨,∃,∀ Knowledge Level: ! ! or! ! given KB, α, determine if KB |= α. given an open α(x1,x2,…xn), find t1,t2,…tn such that KB |= α(t1,t2,…tn) When KB is finite {α1, α2, …, αk} !! KB|=α iff ! iff ! iff

Resource Allocation COMP4418 Knowledge Representation and Reasoning Haris Aziz1 1School of Computer Science and Engineering, UNSW Australia 1 How to assign donated kidneys? 2 How to allocate tasks to drones? 3 How to match employers to employees? 4 Outline Allocation setting Efficiency concepts Fairness concepts Other properties of mechanisms Allocation of indivisible items under ordinal

Path Finding, what’s new since A*? Abdallah Saffidine The University of New South Wales, Sydney, Australia August 20, 2019 1/26 2/26 Outline A* setup and limitations Beyond A* research topics Multi-Agent Pathfinding 3/26 The classical A* setup 4/26 The classical A* setup Unnecessary requirements Complete (always finds a solution) Optimal (solution is always the best

CSE 521: Design & Analysis of Algorithms I NP-completeness Paul Beame 1 Computational Complexity 􏰄 Classify problems according to the amount of computational resources used by the best algorithms that solve them 􏰄 Recall: 􏰄 worst-case running time of an algorithm 􏰄 max # steps algorithm takes on any input of size n 2 Relative