A comparison-based gradient estimation algorithm for sequential multi-issue resource trading between two greedily rational agents guarantees strict utility improvements per accepted trade and asymptotic convergence to the Pareto front under mild assumptions.
We begin by finding then-dimensional vector corresponding to the hypersphere centervcenter = M c where M ∈ Rn×n−1 is a matrix such thatM = [v1
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Sequential Resource Trading Using Comparison-Based Gradient Estimation
A comparison-based gradient estimation algorithm for sequential multi-issue resource trading between two greedily rational agents guarantees strict utility improvements per accepted trade and asymptotic convergence to the Pareto front under mild assumptions.