Unawareness In Multi-Agent Systems with Partial Valuations Line van - - PowerPoint PPT Presentation

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Unawareness In Multi-Agent Systems with Partial Valuations Line van - - PowerPoint PPT Presentation

Aug 13, 2022 525 likes •966 views

Unawareness In Multi-Agent Systems with Partial Valuations Line van den Berg, Manuel Atencia and J er ome Euzenat { line.van-den-berg,manuel.atencia,jerome.euzenat } @inria.fr https://moex.inria.fr Line van den Berg (UGA & Inria)

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Unawareness In Multi-Agent Systems with Partial Valuations

Line van den Berg, Manuel Atencia and J´ erˆ

  • me Euzenat

{line.van-den-berg,manuel.atencia,jerome.euzenat}@inria.fr https://moex.inria.fr

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Summary

Introduction: why awareness?

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Summary

Introduction: why awareness? Related work

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Summary

Introduction: why awareness? Related work Agent awareness using partial valuations

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Summary

Introduction: why awareness? Related work Agent awareness using partial valuations Raising awareness

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Introduction: why awareness?

Agents represent their knowledge in different ways ñ

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Introduction: why awareness?

Agents represent their knowledge in different ways Communication ñ

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Introduction: why awareness?

Agents represent their knowledge in different ways Communication via alignments ñ

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Introduction: why awareness?

Agents represent their knowledge in different ways Communication via alignments Dynamic Epistemic Logic: announcements and conservative upgrades ñ

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Introduction: why awareness?

Agents represent their knowledge in different ways Communication via alignments Dynamic Epistemic Logic: announcements and conservative upgrades But agents need to have access to what is announced ñ

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Introduction: why awareness?

Agents represent their knowledge in different ways Communication via alignments Dynamic Epistemic Logic: announcements and conservative upgrades But agents need to have access to what is announced This prevents agents to acquire new vocabulary or adapt the meaning

  • f the words they use

ñ

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Introduction: why awareness?

Agents represent their knowledge in different ways Communication via alignments Dynamic Epistemic Logic: announcements and conservative upgrades But agents need to have access to what is announced This prevents agents to acquire new vocabulary or adapt the meaning

  • f the words they use

Undesirable for open multi-agent systems ñ

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Introduction: why awareness?

Agents represent their knowledge in different ways Communication via alignments Dynamic Epistemic Logic: announcements and conservative upgrades But agents need to have access to what is announced This prevents agents to acquire new vocabulary or adapt the meaning

  • f the words they use

Undesirable for open multi-agent systems ñ Awareness

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Related Work

Partial valuations for DEL [Jaspars and Thijsse, 1996] ñ

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Related Work

Partial valuations for DEL [Jaspars and Thijsse, 1996] Awareness logic [Fagin and Halpern, 1987] ñ

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Related Work

Partial valuations for DEL [Jaspars and Thijsse, 1996] Awareness logic [Fagin and Halpern, 1987] Raise aware- ness [Van Ditmarsch et al.,2009] ñ

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Related Work

Partial valuations for DEL [Jaspars and Thijsse, 1996] Awareness logic [Fagin and Halpern, 1987] Raise aware- ness [Van Ditmarsch et al.,2009] raise awareness without truth ñ Becoming aware of a proposition and learning its truth value are two different acts

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Unawareness with Partial Valuations

Partial valuations allow propositions to be true, false or undefined ✥

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Unawareness with Partial Valuations

Partial valuations allow propositions to be true, false or undefined p w ✥p v u ✥

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Unawareness with Partial Valuations

Partial valuations allow propositions to be true, false or undefined Agents can be uncertain and unaware about p ✥ p w ✥p v u a a a b

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Unawareness with Partial Valuations

Partial valuations allow propositions to be true, false or undefined Agents can be uncertain and unaware about p Allowing agents to have different knowledge representations about the world ✥ p w t q u v a a, b b a, b b a

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Properties of awareness

Agent awareness is preserved over accessibility:

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Properties of awareness

Agent awareness is preserved over accessibility: p w v a a

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Properties of awareness

Agent awareness is preserved over accessibility: Weak reflexivity p w v a a a

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Properties of awareness

Agent awareness is preserved over accessibility: Weak reflexivity Consideration consistency p w p v a a a

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Properties of awareness

Agent awareness is preserved over accessibility: Weak reflexivity Consideration consistency Specification p w p v a a a u a, b b

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Semantics

Verification and falsification M, w ✭ ✥φ iff M, w ✮ φ M, w ✮ ✥φ iff M, w ✭ φ

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Semantics

Verification and falsification Conjunction false iff both conjuncts defined M, w ✮ φ ❫ ψ iff M, w ✮ φ and M, w ✭ ψ,

  • r M, w ✭ φ and M, w ✮ ψ,
  • r M, w ✮ φ and M, w ✮ ψ

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Semantics

Verification and falsification Conjunction false iff both conjuncts defined Knowledge and belief M, w ✭ Kaφ iff ❅v s.t. w ✒a v : M, v ✭ φ M, w ✭ Baφ iff ❅v s.t. w Ña v : M, v ✭ φ M, w ✮ Kaφ iff ❉v s.t. w ✒a v : M, v ✮ φ M, w ✮ Baφ iff ❉v s.t. w Ña v : M, v ✮ φ Where ✒a and Ña are defined as “all accessible worlds with reflexivity” and “most plausible worlds with reflexivity”.

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Semantics

Verification and falsification Conjunction false iff both conjuncts defined Knowledge and belief Raise awareness M, w ✭ rpsψ iff Mp, w ✭ ψ M, w ✮ rpsψ iff Mp, w ✮ ψ

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Raising awareness

Raise awareness of p:

  • ✥
  • ✥
  • Line van den Berg (UGA & Inria)

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Raising awareness

Raise awareness of p:

  • w

a ✥

  • ✥
  • Line van den Berg (UGA & Inria)

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Raising awareness

Raise awareness of p: p w a p w0 ✥p w1 a a a p

  • ✥
  • Line van den Berg (UGA & Inria)

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Raising awareness

Raise awareness of p: p p w0 ✥p w1 a a a

  • ✥
  • Line van den Berg (UGA & Inria)

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Raising awareness

Raise awareness of p: p ✥

  • p

w a p w p a ✥

  • Line van den Berg (UGA & Inria)

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Raising awareness

Raise awareness of p: p ✥

  • q

w a p, q w0 ✥p, q w1 a a a p

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Discussion & Conclusion

We introduced a new semantics for modeling agent unawareness, using partial valuations

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Discussion & Conclusion

We introduced a new semantics for modeling agent unawareness, using partial valuations Agents raise their awareness when needed

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Discussion & Conclusion

We introduced a new semantics for modeling agent unawareness, using partial valuations Agents raise their awareness when needed Alignment Repair Game [Van den Berg, Atencia and Euzenat, 2020]

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Discussion & Conclusion

We introduced a new semantics for modeling agent unawareness, using partial valuations Agents raise their awareness when needed Alignment Repair Game [Van den Berg, Atencia and Euzenat, 2020] Full awareness is not a necessary condition for successful communication

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Discussion & Conclusion

We introduced a new semantics for modeling agent unawareness, using partial valuations Agents raise their awareness when needed Alignment Repair Game [Van den Berg, Atencia and Euzenat, 2020] Full awareness is not a necessary condition for successful communication Forgetting awareness

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Thank you!

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