Overview Auctions Negotiation: strategies and protocols Summary CM30174 + CM50206 Intelligent Agents Marina De Vos, Julian Padget Negotiation / version 0.4 November 1, 2011 De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 1 / 46
Overview Auctions Negotiation: strategies and protocols Summary Authors/Credits for this lecture Chs. 14, 15 and 9 of “An Introduction to Multiagent Systems” [Wooldridge, 2009]. De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 2 / 46
Overview Auctions Negotiation: strategies and protocols Summary Content Overview 1 Auctions 2 Auction patterns Agent strategies Combinatorial Auctions Negotiation: strategies and protocols 3 Task-oriented Domains Working Together Contract Net Protocol Summary 4 De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 3 / 46
Overview Auctions Negotiation: strategies and protocols Summary Content Overview 1 Auctions 2 Negotiation: strategies and protocols 3 Summary 4 De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 4 / 46
Overview Auctions Negotiation: strategies and protocols Summary Reaching Agreements How do self-interested agents reach agreements? In an extreme case (zero sum encounter) no agreement is possible — but in most scenarios, a mutually beneficial agreement can be concluded The capabilities of negotiation and argumentation are central to the ability of an agent to reach such agreements. v i s.t. v i ∈ R n Consider an offer as � Valuation is then Σ n i = 0 w i v i such that given a threshold value, a decision can be made Simple negotiation requires each agent to change � v i such that the valuation monotonically approaches the threshold Argumentation is the process of one agent getting another to change its � w i De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 5 / 46
Overview Auctions Negotiation: strategies and protocols Summary Protocols and Strategies Negotiation is governed by a particular mechanism, or protocol. The mechanism defines the “rules of encounter” between agents. Auctions are a large class of “useful” mechanisms Mechanism design is the process of designing mechanisms so that they have certain desirable properties. Given a particular protocol, how can a particular strategy be designed that individual agents can use? What is the dominant strategy for a particular mechanism? De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 6 / 46
Overview Auction patterns Auctions Agent strategies Negotiation: strategies and protocols Combinatorial Auctions Summary Content Overview 1 Auctions 2 Auction patterns Agent strategies Combinatorial Auctions Negotiation: strategies and protocols 3 Summary 4 De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 7 / 46
Overview Auction patterns Auctions Agent strategies Negotiation: strategies and protocols Combinatorial Auctions Summary Auctions An auction takes place between an agent known as the auctioneer and a collection of agents known as the bidders. The goal of the auction is for the auctioneer to allocate the good to one of the bidders. In most settings the auctioneer desires to maximise the price; bidders desire to minimise price. De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 8 / 46
Overview Auction patterns Auctions Agent strategies Negotiation: strategies and protocols Combinatorial Auctions Summary Auction Parameters Goods can have: private public/ correlated OR OR value common value value Winner may pay: first price OR second price OR n th price Bids may be: open cry OR sealed bid Bidding may be: one shot OR ascending OR descending De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 9 / 46
Overview Auction patterns Auctions Agent strategies Negotiation: strategies and protocols Combinatorial Auctions Summary English Auctions English auction characteristics: first-price, open cry, ascending. Susceptible to: Winner’s curse Shills Dominant strategy is for agent successively to bid a small amount more than the current highest bid until it reaches their valuation, then withdraw. De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 10 / 46
Overview Auction patterns Auctions Agent strategies Negotiation: strategies and protocols Combinatorial Auctions Summary Dutch Auctions Dutch auctions characteristics: open-cry descending auctioneer starts price at artificially high value; auctioneer lowers offer price until some agent makes a bid equal to the current offer price; the good is then allocated to the agent that made the offer. Best strategy is to bid only at own valuation De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 11 / 46
Overview Auction patterns Auctions Agent strategies Negotiation: strategies and protocols Combinatorial Auctions Summary Sealed-Bid Auctions Sealed bid auction characteristics: first-price sealed-bid one-shot Single round; Bidders submit a sealed bid for the good; Good is allocated to agent that made highest bid. Winner pays price of highest bid. Best strategy is to bid less than true valuation. De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 12 / 46
Overview Auction patterns Auctions Agent strategies Negotiation: strategies and protocols Combinatorial Auctions Summary Vickrey Auctions Vickrey auctions characteristics: second-price sealed-bid one-shot Good is awarded to the agent that made the highest bid; at the price of the second highest bid. Vickrey auctions susceptible to antisocial behavior: untruthful bids can distort market Bidding to your true valuation is dominant strategy in Vickrey auctions. Overbid � risk of paying above valuation Underbid � reduced chance of success De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 13 / 46
Overview Auction patterns Auctions Agent strategies Negotiation: strategies and protocols Combinatorial Auctions Summary Continuous Double Auction Perhaps overlooked because it is simple, but it is also effective and the basis for many real-world mechanisms Given buyer B and seller S , proceed in rounds: Step 1: The seller announces an offer price p 1 Step 2: The buyer announces a bid price p 2 , assume p 1 > p 2 Step 3: If p 2 ≥ p 1 , sale is agreed at p 1 + p 2 2 Step 4: Seller reduces offer giving p i , i ∈ 3 , 5 , ... Step 5: Buyer increases bid giving p j , j ∈ 4 , 6 , ... Return to Step 3 Description in terms of two agents, but readily adapts for multiple buyers and multiple sellers Example of a mechanism that is more generally applicable in an electronic than a physical setting. De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 14 / 46
Overview Auction patterns Auctions Agent strategies Negotiation: strategies and protocols Combinatorial Auctions Summary Zero Intelligence Traders I Original idea set out in [Gode and Sunder, 1993] Trader submits random bids and offers Simulations using experimental CDA markets demonstrate the transaction price time-series is human-like : Appearing to converge to the theoretical equilibrium price Yielding allocative efficiency comparable to human markets Experiments with combinations of three kinds of agents: ZI-U: unconstrained agents, settle at any price ZI-C: constrained agents, may not make a loss human agents De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 15 / 46
Overview Auction patterns Auctions Agent strategies Negotiation: strategies and protocols Combinatorial Auctions Summary Zero Intelligence Traders II Conclusions: No intelligence needed to trade in a CDA as long as not permitted to trade at a loss Market structure ensures allocative efficiency—the ‘invisible’ hand? (Smith) [Cliff and Bruten, 1997] identified pathological market conditions for ZI traders, supported by empirical results, specifically: symmetric supply and demand 1 flat supply 2 flat supply and demand curves with excess supply 3 flat supply and demand curves with excess demand 4 ZI-C only converges to equilibrium price in case 1 Need memory + adaptation for cases 2–4 De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 16 / 46
Overview Auction patterns Auctions Agent strategies Negotiation: strategies and protocols Combinatorial Auctions Summary Zero Intelligence Plus (ZIP) Augment ZI-traders with basic machine-learning mechanism ZIP traders adapt their profit margin on the basis of four factors: whether an agent still needs to buy or sell was the last quote an offer (seller) or a bid (buyer) was the last quote accepted or rejected was the last quote bigger or smaller than own quote At time t trader i calculates the shout price p i ( t ) for a unit j with limit price λ i , j using profit-margin µ i ( t ) , such that p i ( t ) = λ i , j ( 1 + µ i ( t )) De Vos/Padget (Bath/CS) CM30174/Negotiation November 1, 2011 17 / 46
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