Consider the following cooperative game: N = {1, 2, 3} Where: 1=The UK Crown Commercial Service...

 

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Consider the following cooperative game: N = {1, 2, 3} Where: 1=The UK Crown Commercial Service (CCS), responsible for the legal framework for public sector procurement and leads on the development and implementation of procurement policies for government. 2= Sodexo, a food services and facilities management company that supplies most schools, prisons, universities and military bases. 3= Anglo Beef Processors UK (ABP UK) Food Group, the UK's top producer of beef. The three actors are in consultations to reduce Scope 3 emissions in the food supply chain by 2040 through the following strategies (1) Reforms to the UK Government Buying Standards in 2022, (2) Reforms to Sodexo' procurement contracts to source meat from only suppliers that are Leaf Marque Certified and signatories of the UK Soy Manifesto (UKSM) by 2030 (3) commitment by ABP to source only deforestation and conversion free soy for co-op products and animal feed by the end of 2030. A government consultant has determined that the potential value of these strategies are given as: v({1}) = 2, v({2}) = 4, v({3}) = 6 v({1,2})=6, v({1,3}) = 8, v({2,3})= 12 v({1,2,3}) = 14 a. Briefly explain the symmetry axiom in the context of this case and determine if any players are interchangeable b. Briefly explain the dummy axiom in the context of this case and determine if any players are dummies. c. Find the Shapley value Consider the following cooperative game: N = {1, 2, 3} Where: 1=The UK Crown Commercial Service (CCS), responsible for the legal framework for public sector procurement and leads on the development and implementation of procurement policies for government. 2= Sodexo, a food services and facilities management company that supplies most schools, prisons, universities and military bases. 3= Anglo Beef Processors UK (ABP UK) Food Group, the UK's top producer of beef. The three actors are in consultations to reduce Scope 3 emissions in the food supply chain by 2040 through the following strategies (1) Reforms to the UK Government Buying Standards in 2022, (2) Reforms to Sodexo' procurement contracts to source meat from only suppliers that are Leaf Marque Certified and signatories of the UK Soy Manifesto (UKSM) by 2030 (3) commitment by ABP to source only deforestation and conversion free soy for co-op products and animal feed by the end of 2030. A government consultant has determined that the potential value of these strategies are given as: v({1}) = 2, v({2}) = 4, v({3}) = 6 v({1,2})=6, v({1,3}) = 8, v({2,3})= 12 v({1,2,3}) = 14 a. Briefly explain the symmetry axiom in the context of this case and determine if any players are interchangeable b. Briefly explain the dummy axiom in the context of this case and determine if any players are dummies. c. Find the Shapley value

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a The symmetry axiom in cooperative game theory states that if two players have the same contribution to any coalition then their payoff or value shou... View the full answer