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SUMMARY:The Hodge Generalized Value and its Extensions to Hypergraph - Fra
 ncesco Vaccarino (Politecnico di Torino)
DTSTART:20240729T133000Z
DTEND:20240729T143000Z
UID:TALK219211@talks.cam.ac.uk
DESCRIPTION:In cooperative games with transferable utility\, the coalition
  surplus drives the allocation of worth among players to determine a value
  for the game.\nA meaningful research question concerns the role of the su
 rplus in the allocation to coalitions\, as in generalised values.\nIn this
  talk\, we start by defining a game graph\, where nodes are coalitions and
  edges represent the marginal contribution of a coalition by joining with 
 each of its disjoint coalitions.\nAn associated Poisson equation elicits a
  new generalised value named the Hodge Generalized Value(HGV).\nWe will pr
 ovide a simple analytical formula for the role of the surplus of complemen
 tary coalitions in the game and axiomatically characterise di HGV akin to 
 the Shapley Value by leveraging the axioms of the null coalition\, average
  efficiency\, bilaterality\, constant sum\, and linearity of generalised v
 alues.\nFinally\, we propose some generalisations of our construction on h
 ypergraphs of coalitions.\n&nbsp\;\nJoint work with Antonio Mastropietro.\
 n&nbsp\;
LOCATION:External
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